Hindcast and validation of Hurricane Ike (2008) waves ... · 1] Hurricane Ike (2008) made landfall near Galveston, Texas, as a moderate intensity storm. Its large wind field in conjunction

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Hindcast and validation of Hurricane Ike (2008) waves forerunnerand storm surge

M E Hope1 J J Westerink1 A B Kennedy1 P C Kerr1 J C Dietrich12 C Dawson3

C J Bender4 J M Smith5 R E Jensen5 M Zijlema6 L H Holthuijsen6 R A Luettich Jr7

M D Powell8 V J Cardone9 A T Cox9 H Pourtaheri10 H J Roberts11 J H Atkinson11

S Tanaka112 H J Westerink1 and L G Westerink1

Received 26 February 2013 revised 9 July 2013 accepted 12 July 2013 published 13 September 2013

[1] Hurricane Ike (2008) made landfall near Galveston Texas as a moderate intensity stormIts large wind field in conjunction with the Louisiana-Texas coastlinersquos broad shelf and largescale concave geometry generated waves and surge that impacted over 1000 km of coastlineIkersquos complex and varied wave and surge response physics included the capture of surge bythe protruding Mississippi River Delta the strong influence of wave radiation stress gradientson the Delta adjacent to the shelf break the development of strong wind driven shore-parallelcurrents and the associated geostrophic setup the forced early rise of water in coastal baysand lakes facilitating inland surge penetration the propagation of a free wave along thesouthern Texas shelf shore-normal peak wind-driven surge and resonant and reflected longwaves across a wide continental shelf Preexisting and rapidly deployed instrumentationprovided the most comprehensive hurricane response data of any previous hurricane Morethan 94 wave parameter time histories 523 water level time histories and 206 high watermarks were collected throughout the Gulf in deep water along the nearshore and up to 65 kminland Ikersquos highly varied physics were simulated using SWANthornADCIRC a tightlycoupled wave and circulation model on SL18TX33 a new unstructured mesh of the Gulf ofMexico Caribbean Sea and western Atlantic Ocean with high resolution of the Gulfrsquos coastalfloodplain from Alabama to the Texas-Mexico border A comprehensive validation was madeof the modelrsquos ability to capture the varied physics in the system

Citation Hope M E et al (2013) Hindcast and validation of Hurricane Ike (2008) waves forerunner and storm surge J GeophysRes Oceans 118 4424ndash4460 doi101002jgrc20314

1 Introduction

[2] The Louisiana and Texas (LATEX) Gulf Coast is sit-uated in an area of high tropical storm activity Major hurri-canes making landfall along the LATEX coast includestorms in 1886 (unnamed landfall at Indianola TX) 1900(unnamed landfall at Galveston TX) 1915 (unnamedlandfall at Galveston TX) 1961 (Carla) 1965 (Betsy)1969 (Camille) 1980 (Allen) 1983 (Alicia) 2005 (Katrinaand Rita) 2008 (Gustav and Ike) and 2012 (Isaac) Hurri-cane Ike is of significant interest because of its size its var-ied response physics and the quantity and quality of waveand water level data collected

[3] Hurricane Ike entered the Gulf of Mexico after makinglandfall in Cuba Upon entering the Gulf at 2030 UTC 9 Sep-tember 2008 (Table 1) Ike tracked northwest and its windfield broadened and strengthened until reaching a 10 min sus-tained wind speed of 37 m s1 and radius to maximum windsof 148 km at 0000 UTC 12 September 2008 (31 h beforelandfall) when the stormrsquos center was approximately 300 kmsouth of Isles Dernieres LA (Figure 1 Table 2) with tropicalstorm force winds extending 400 km from the stormrsquos centerAt this point significant wave heights were measured at over8 m in the mid-Gulf 6 m to the south of Grand Isle LAand 4 m off of Galveston Island Approximately 13 h before

1Department of Civil and Environmental Engineering and Earth Scien-ces University of Notre Dame Notre Dame Indiana USA

2Now at Department of Civil Construction and Environmental Engi-neering North Carolina State University Raleigh North Carolina USA

3Institute for Computational Engineering and Sciences University ofTexas at Austin Austin Texas USA

4Taylor Engineering Jacksonville Florida USA5Coastal and Hydraulics Laboratory US Army Engineer Research and

Development Center Vicksburg Mississippi USA6Faculty of Civil Engineering and Geosciences Delft University of

Technology Delft Netherlands7Institute of Marine Sciences University of North Carolina at Chapel

Hill Chapel Hill North Carolina USA8Atlantic Oceanographic and Meteorological Labs Hurricane Research

Division NOAA Miami Florida USA9Oceanweather Inc Cos Cob Connecticut USA10New Orleans District US Army Corps of Engineers New Orleans

Louisiana USA11ARCADIS Boulder Colarado USA12Now at Earthquake Research Institute University of Tokyo Tokyo

Japan

Corresponding author M E Hope Department of Civil and Environ-mental Engineering and Earth Sciences University of Notre Dame 156Fitzpatrick Hall Notre Dame IN 46556-5637 (markehopegmailcom)

copy2013 American Geophysical Union All Rights Reserved2169-927513101002jgrc20314

4424

JOURNAL OF GEOPHYSICAL RESEARCH OCEANS VOL 118 4424ndash4460 doi101002jgrc20314 2013

landfall Ike began to shift and track north-northwestwardthen making landfall at Galveston Island TX with a maxi-mum wind speed of 41 m s1 Ike generated a maximum

measured surge at landfall of 53 m in Chambers CountyTX located to the northeast of Galveston Island (Figure 1)[FEMA 2008] Across the LATEX coast Ike produced surge

Table 1 Summary of Significant Times and Characteristics of Hurricane Ikea

HoursRelativeto Landfall

UTCTime

UTC Date(2008) Latitude Longitude

Max WindVelocity

(ms)

Radius toMaximum

Winds (km)

MinimumCentral

Pressure (mb)Saffir-Simpson

Category Notes

289 0600 1 Sep 172 37 13 167 1006 Trop Depression Formation217 0600 4 Sep 224 550 54 28 935 4 Maximum Intensity1945 0430 5 Sep 236 604 50 28 945 4 Enters SL18thornTX33

Domain187 1200 5 Sep 234 620 46 28 954 3 OWI winds start138 1300 7 Sep 210 732 49 947 3 Landfall on Great Inagua

Island Bahamas12475 0215 8 Sep 211 757 50 945 4 Landfall in Holguin Cuba89 1400 9 Sep 226 829 30 - 965 1 Landfall in Pinar del

Rio Cuba825 2030 9 Sep Enters Gulf of Mexico31 0000 12 Sep 261 900 37 148 954 219 1200 12 Sep 269 922 39 93 954 2 Peak in South Plaquemines13 1800 12 Sep 274 930 39 93 955 2 Shift in track WSE peak

in NOLA7 0000 13 Sep 283 941 41 74 952 2 WSE peak in Lake

Pontchartrain0 0700 13 Sep 293 947 41 950 2 Landfall at Galveston

Texas5 1200 13 Sep 303 952 37 56 959 111 1800 13 Sep 317 953 22 74 974 Trop Storm23 0600 14 Sep 355 937 15 93 986 Trop Depression OWI winds end53 1200 15 Sep End of simulation

aWinds are 10 min average [Berg 2009] (Automated Tropical Cyclone Forecast Archive ftpftpnhcnoaagovatcf)

Figure 1 Map of Northern Gulf of Mexico and Louisiana-Texas Coast The black line represents Ikersquostrack ADCIRC grid boundaries and raised features are brown the coastline is solid gray bathymetriccontours (as labeled) are dashed gray Geographic locations of significance are labeled by numbersidentified in Table 2

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4425

levels of 18 m in Lake Pontchartrain 22 m in Lake Borgne18 m at Grand Isle 30 m near Vermillion Bay LA 45 m atthe Sabine Lake Gulf Outlet 33 m at Galveston Island TXand 15 m at Corpus Christi TX

[4] Following Hurricanes Katrina and Rita wave andwater level gages were strengthened to become more reli-

able under hurricane conditions Additionally the use ofshort-term deployable gages placed prestorm nearshore andinland increased the density of recorded data across thecoast As a result of these efforts the number density andextent of wave and water level gages that collected datathroughout the storm surpassed that of any previous storm

[5] The wave measurements describe generation in deepwater transformation nearshore and dissipation onshoreand are summarized in Table 3 NOAA National DataBuoy Center (NDBC httpwwwndbcnoaagov) wavedata at 13 stations includes offshore buoys on the continen-tal shelf as well as in the deep Gulf Louisiana State Uni-versityrsquos Coastal Studies Institute (CSI httpwwwcsilsuedu) recorded wave data at five nearshoregages off the coast of Southern Louisiana Andrew Ken-nedy (AK) from the University of Notre Dame deployedeight gages via helicopter off the Texas coast from SabineLake to San Antonio Bay in depths ranging from 85 to 16m [Kennedy et al 2012] the US Army Corps of Engi-neers Research and Development Center Coastal Hydraul-ics Laboratory (USACE-CHL) deployed six gages in theTerrebonne and Biloxi marshes that were placed to under-stand the dissipation of waves over wetlands

[6] Water level time series Table 3 were collectedthroughout the LATEX shelf and adjacent floodplain by theUS Army Corps of Engineers (USACE) the USACE-CHLthe National Oceanic and Atmospheric Organization(NOAA) the US Geological Survey (USGS) the coopera-tive USGS and State of Louisiana Coastwide ReferenceMonitoring System (CRMS) CSI the Texas Coastal OceanObservation Network (TCOON) and AK Time history dataat these 523 stations describe in detail the development andevolution of surge on the LATEX shelf and its subsequentinland penetration High water marks (HWMs) were col-lected for the Federal Emergency Management Agency(FEMA) following the storm Of the available HWMs dataat 206 locations were deemed as reliable indicators of still-

Table 2 Geographic Locations by Type and Location

River and Channels

1 Mississippi River Birdrsquos foot2 Mississippi River Gulf Outlet (MRGO)3 Inner Harbor Navigation Canal (IHNC)4 Gulf Intracoastal Waterway (GIWW)Water Bodies5 Chandeleur Sound6 Lake Borgne7 Lake Pontchartrain8 Lake Maurepas9 Barataria Bay10 Terrebonne Bay11 Vermillion Bay12 Calcasieu Lake13 Sabine Lake14 Galveston Bay15 Corpus Christi BayLocations16 Chandeleur Islands17 Biloxi Marsh18 Caernarvon Marsh19 Plaquemines Parish LA20 New Orleans21 Terrebonne Marsh22 Grand Isle23 Isles Dernieres LA24 Chambers County TX25 Bolivar Peninsula26 Galveston Island27 Houston TX

Table 3 Summary of Collected Dataa

Data Type

Data SourceWaterLevels

SignificantWave Height

Mean WaveDirection

Mean WavePeriod

Peak WavePeriod

HighWater Mark Winds Currents

NDBC 13 9 13 13CSI 5 5 5 5 5 2 2AK 8 8 8 8USACE-CHL 6 5 5 5NOAA 37 29 2USACE 38 33USGS-PERM 33 24USGS-DEPL 50 40TCOON 25 17 4CRMS 321 235TABS 4FEMA 206

aData sources are as follows NDBC National Data Buoy Center (httpwwwndbcnoaagov) CSI Louisiana State University Coastal Studies Insti-tute (httpwwwcsilsuedu) AK University of Notre Dame Andrew Kennedy [Kennedy et al 2011a] USACE-CHL US Army Corps of EngineersCoastal Hydraulics Laboratory (J Smith personal communication 2009) NOAA National Oceanic and Atmospheric Administration (httptidesand-currentsnoaagov) USACE US Army Corps of Engineers (http wwwrivergagescom personal communication 2011) USGS-PERM US Geo-logical Survey (D Walters personal communication 2009) (httppubsusgsgovof20081365) USGS-DEPL US Geological Survey [East et al2008] TCOON Texas Coastal Ocean Observation Network (httplighthousetamucceduTCOON) CRMS Coastwide Reference Monitoring System(httpwwwlacoastgovcrms2) TABS Texas Automated Buoy System (httptabsgergtamuedu) FEMA Federal Emergency Management Agency[FEMA 2008 2009]

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4426

water elevations and resulting solely from Ike An additional393 water level time histories were identified as recordingreliable still water high water levels All water levels are ref-erenced to the North American Vertical Datum of 1988(NAVD88 200465 epoch in Louisiana)

[7] Wind data were used from four NOAA and twoTCOON stations along the LATEX coast and current datawere used from two CSI and four Texas Automated BuoySystem (TABS httptabsgergtamuedu) stations on thecontinental shelf

[8] The measurement data provide a comprehensivedescription of Ikersquos waves and storm surge Ikersquos expansivewave fields with maximum measured significant waveheights reaching 10 m in the deep Gulf were dominated bylocally generated seas and well-defined swells that reachedshore prior to the storm making landfall Effective attenua-tion occurred on the continental shelf in the nearshore andespecially behind barrier islands and within wetlands

[9] Storm surge was dictated by geography bathymetryand storm track and included a variety of fundamentallydifferent physical processes Steady easterly winds acrossthe Mississippi Sound and over the Biloxi and CaernarvonMarshes persisted as Ike was progressing across the Gulf ofMexico This resulted in the effective capture of surge bythe protruding Mississippi River Delta and river systemwhich projects onto the continental shelf This slow processlasted 2 days created a surge of 15ndash25 m in Lake Borgneand at the convergence of the Mississippi River Gulf Outlet(MRGO) and Gulf Intracoastal Waterway (GIWW) Fromthis point surge flowed into the Inner Harbor NavigationCanal (IHNC) into the heart of New Orleans peaking 13 hbefore landfall with a maximum water level of 25 m Thisregional surge also drove water into Lakes Pontchartrainand Maurepas to the north of New Orleans through theRigolets Chef Menteur Pass and Pass Manchac where 18m of surge was observed within Lake Pontchartrain peak-ing 7 h before landfall The same process occurred to thesouth and east of New Orleans in the marshes and wetlandsof Plaquemines Parish Water from Chandeleur Sound waspushed into the Caernarvon Marsh reaching 3 m at EnglishTurn A 2 m surge was pushed from Breton Sound againstthe protruding west bank Mississippi River levee south ofPoint-a-la-Hache where there is no corresponding levee onthe east bank [Kerr et al 2013a 2013b] peaking approxi-mately 19 h before landfall Having penetrated the riverthis surge propagated upstream The south and west facingportions of the lsquolsquoBirdrsquos Footrsquorsquo developed surge influencedby wave radiation stress gradient induced setup and moder-ate shore normal winds and reached uniform levels of12 m

[10] The region from the Atchafalaya and VermillionBays to Galveston Bay was influenced by a geostrophicallydriven surge forerunner and by shore-perpendicular wind-driven surge Water levels along this coast reached 2ndash25 mmore than 12 h prior to landfall while winds were still pre-dominantly shore parallel or directed offshore Factors con-trolling this Coriolis-driven early setup included the wideLATEX shelf with its smooth muddy bottom Ikersquos largesize and steady northwest track and the concave shape ofthe coast being coincident with the shore parallel winds[Buczkowski et al 2006 Kennedy et al 2011a 2011b]The time scale associated with the forerunner allowed

surge to penetrate far inland into hydraulically connectedwater bodies and adjacent low lying coastal floodplainsFor example Morganrsquos Point within Galveston Bay andManchester Point in the Houston Ship Channel experiencedwater levels of up to 2 m more than 12 h before landfall

[11] The coastal forerunner propagated as a free conti-nental shelf wave from Galveston TX southward on theLATEX shelf reaching Corpus Christi TX with an ampli-tude of 15 m The time of arrival of the continental shelfwave at Corpus Christi approximately 300 km southwestof Galveston coincided with the landfall of the storm atGalveston This was the largest measured continental shelfwave ever reported in the literature [Kennedy et al 2011a2011b]

[12] The region between the Atchafalaya and VermillionBays and Galveston Bay also experienced a peak surgecoincident to peak shore-normal winds ranging from 3 madjacent to the Atchafalaya Bay to 5 m to the west of Sab-ine Lake and to 35 m near Galveston TX Theforerunner-driven higher water levels within GalvestonBay persisted through the arrival of the strong winds atlandfall combining the forerunner and the wind-drivensurge levels within and around the bay

[13] As the storm passed and winds subsided the coastalsurge receded back onto the shelf The abrupt bathymetricchange at the continental shelf break led to an out-of-phasereflection of the surge back onto the shelf The recordshows a cross shelf wave appearing at the coast three timeswith increased damping with each cycle The cross shelfwave has a period of approximately 12 h coinciding withthe resonant period of the shelf The resonant period of theshelf can also be seen in the strong amplification of semi-diurnal tides on the wide portion of the LATEX shelf cen-tered at Lakes Sabine and Calcasieu [Mukai et al 2002]

[14] The scale and complexity of the Gulf coastal fea-tures on the LATEX shelf and the inland floodplain requirethe use of computational models that are basin-scale multi-process and provide a high level of resolution in manyareas A coupled nonphase resolving wave and circulationmodel was used to simulate the waves riverine drivenflows tides and the wave-driven wind-driven andpressure-driven circulation during Ike SWANthornADCIRCis a tightly coupled modeling system that operates on anunstructured mesh allowing for interaction of waves andcirculation and has recently been applied to hindcastKatrina Rita Gustav and Ike [Westerink et al 2008 Die-trich et al 2011a 2011b 2012b] As a means of compari-son ADCIRC has also been coupled to the Wave Model(WAM) and the Steady State Spectral Wave (STWAVE)model [Komen et al 1994 Smith 2000 Smith et al2001 Geurounther 2005 Smith 2007 Bender et al 2013]which evaluate wave conditions on a sequence of struc-tured grids throughout the Gulf and LATEX shelf and hasbeen used to hindcast Katrina Rita and Gustav [Bunya etal 2010 Dietrich et al 2010 2011a]

[15] For Ike the SWANthornADCIRC model uses theSL18TX33 computational domain that encompasses thewestern North Atlantic Gulf of Mexico and CaribbeanSea and provides a very high level of resolution on the LA-TEX shelf and adjacent floodplain from Pensacola FL tothe Texas-Mexico border The SL18TX33 computationaldomain is an evolution of a sequence of earlier Louisiana

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4427

models with significant refinements in grid resolution andthe incorporation of the entire Texas coastal floodplain[Westerink et al 2008 Bunya et al 2010 Dietrich et al2010 2011a] Nearshore and onshore maximum elementsize is 200 m with a minimum of 20 m in channels and riv-ers The continental shelf in the Gulf of Mexico is resolvedwith an element size of 500 m to 1 km increasing to 1ndash5km in the deep Gulf of Mexico The SL18TX33 mesh is animprovement over earlier studies because high levels of re-solution are extended from the southern Texas borderthrough Mobile Bay AL and thus it describes the entireregion that was affected as Ike moved onto the shelf andmade landfall

[16] Based on the unprecedented quality and quantity ofmeasured event wave and water level data the multitude ofdriver processes along the LATEX coast the developmentof a highly resolved computational model of the entire LA-TEX coast and adjacent basins and the availability of ahigh-resolution data-assimilated wind input field Ikepresents a unique and highly challenging opportunity tovalidate the performance of SWANthornADCIRC Modelwave and water level responses will be qualitatively andquantitatively evaluated in comparison to measured dataand put into context relative to the component physics

2 Model Description

[17] Significant progress has been made in recent yearsto achieve full dynamic coupling of riverine flow tidesatmospheric pressure wind and waves in simulating hurri-cane waves and circulation Basin-scale to inlet-scaledomains incorporate basins shelves inland water bodieschannels and floodplains and require high spatial meshvariability in order to properly resolve processes at a localscale Large high-performance computing platforms withover 10000 cores in conjunction with highly scalableunstructured mesh codes have allowed theseimprovements

21 Wave and Surge Model

[18] ADCIRC was implemented for this simulation as atwo-dimensional explicit barotropic model and solves themodified shallow water equations for water levels anddepth-averaged velocities in the x and y directions U and Vrespectively [Kolar et al 1994 Dawson et al 2006 West-erink et al 2008 Luettich and Westerink 2004 httpwwwunceduimsadcircadcirc_theory_2004_12_08 pdf]

[19] Sufficient mixing on the continental shelf due towave action has allowed for the two-dimensional depth-integrated version of ADCIRC to be successfully appliedObservations in the Gulf during Hurricane Ivan (2004)indicate a well-mixed layer of 60 m during the passage ofthe storm [Mitchell et al 2005] Numerical studies suggestthat turbulent mixing due to the interaction of windswaves and currents during Hurricane Frances (2004) in theupper ocean boundary layer extends down on the order of100 m [Sullivan et al 2012]

[20] The integrally coupled SWANthornADCIRC modeloperates on a single unstructured mesh with ADCIRC solv-ing for water levels and currents via the shallow waterequations at a 05 s time step ADCIRC passes these solu-tions to the unstructured implementation of SWAN which

solves the wave action balance equation and passes waveradiation stresses back to ADCIRC [Booij et al 1999 Riset al 1999 Zijlema 2010 Dietrich et al 2011b] Infor-mation is exchanged every 600 model seconds equivalentto the time step used in the SWAN computation For theSWAN model wave direction is discretized into 36 regularbins frequency is logarithmically distributed over 40 binsranging from 0031384 to 142 Hz wave growth mecha-nisms due to wind formulation is based on Cavaleri andRizzoli [1981] and Komen et al [1984] and modifiedwhitecapping is based on Rogers et al [2008] In shallowwater depth-induced wave breaking is determined viaBattjes and Janssenrsquos [1978] spectral model with the break-ing index set to frac14 073 [Battjes and Stive 1985] Thesesource term parameterizations are identical to recent stud-ies using SWANthornADCIRC [Dietrich et al 2011a]Within SWAN spectral propagation velocities are limitedin areas where insufficient mesh resolution may cause spu-rious wave refraction [Dietrich et al 2012a 2012b]

[21] Wave hindcasts are also performed with the WAMand STWAVE wave models coupled to ADCIRC WAM isrun on a Gulf-wide structured mesh and generates solutionsthat are forced as boundary conditions for STWAVE on asequence of structured grids along the LATEX coast[Komen et al 1994 Smith 2000 Smith et al 2001Geurounther 2005 Smith 2007 Bender et al 2013] WAM isa third-generation model solving the action balance equa-tion with 28 logarithmically distributed frequency bins and24 equally spaced directional bins run on a structured Gulf-wide mesh with 005 resolution WAM is run independ-ently using default parameters and its solution is used tospecify the wave conditions at the boundary of theSTWAVE nearshore wave model in conjunction withADCIRC-generated winds and water levels STWAVEuses a sequence of structured nearshore meshes with a reso-lution of 200 m STWAVE solves the wave action balanceequation using 45 frequency bins ranging from 00314 to208 Hz and 72 equally spaced directional bins The WAMSTWAVEthornADCIRC paradigm has demonstrated highskill in simulating nearshore waves and surge [Bunya et al2010 Dietrich et al 2010] Because of the loose couplingof ADCIRC to WAMSTWAVE model duration is notrequired to coincide

22 SL18TX33 Mesh

[22] The hindcast of Hurricane Ike applies theSWANthornADCIRC model to the SL18TX33 computationalmesh The mesh domain includes the western North AtlanticOcean Caribbean Sea Gulf of Mexico and coastal flood-plains of Alabama Mississippi Louisiana and Texas (Fig-ure 2) The mesh is the result of merging and refining twomeshes TX2008_R33 [Kennedy et al 2011a 2011b] andSL18 an evolution of the Louisiana SL16 mesh [Dietrich etal 2011a] Grid resolution varies from 20 km or larger inthe deep Atlantic and Caribbean 1ndash5 km in the central Gulfof Mexico 1 km and lower on the continental shelf 100ndash200 m in nearshore wave transformation zones and as smallas 20 m in channels and other similarly sized hydraulic fea-tures The mesh consists of 9108128 nodes (vertices) and18061765 triangular elements At every computationalnode over the 600 s coupling interval SWAN solves 1440unknowns (36 directions 40 frequencies every 600 s) for

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4428

every 3600 ADCIRC unknowns (x and y direction currentsand water level every 05 s)

[23] Bathymetric data for the Atlantic Caribbean anddeep Gulf of Mexico was obtained from the ETOPO1 dataset [Amante and Eakins 2009] Nearshore areas werespecified using Coastal relief digital elevation models(httpwwwngdcnoaagovmggcoastal) with data forinland water bodies including lakes channels and riverscoming from recent USACE and NOAA surveys Marsh to-pography was specified based on marsh type with the Loui-siana Gap Analysis Program (LA-GAP httpatlaslsuedurasterdownhtm) land-cover databases withnonmarsh topography based on LiDAR (httpatlas-lsuedulidar) [Dietrich et al 2011a] In all cases bathym-etrytopography was applied to the mesh using a localelement-scale averaging to avoid discontinuities Relevanthydraulic barriers such as levees roads and coastal dunesthat lie below minimum mesh resolution are represented inthe mesh as lines of raised vertices or submesh-scale weirs[Westerink et al 2008] All coastal features are set to ele-vations consistent with post-Ike conditions Bathymetricvalues and element sizes for the portion of the SL18TX33domain that include the LATEX shelf and coast aredepicted in Figures 3a and 3b

[24] The use of the SL18TX33 mesh captures the basinshelf-scale and inland response physics of tides wavesand surge generated by Ike The broad spatial scale of theprocesses driven by Ike necessitates a computational do-main encompassing the entire Gulf of Mexico and LATEXcoast

23 Winds

[25] Ikersquos core wind field was developed by NOAArsquosHurricane Research Division Wind Analysis System(HWIND) To create the wind field data were assimilatedfrom in situ monitoring systems (buoys and wind towers)remote sensing by satellites and active measurement byaircraft [Powell et al 1996 1998 2010] HWIND analy-sis is provided for an 8 8 area centered on the centralposition of the storm HWIND analysis is provided at 3 hintervals starting at 1930 UTC 5 September 2008 until1630 UTC 13 September 2008 HWIND analysis isblended with Gulf scale winds produced by the InteractiveKinematic Objective Analysis (IOKA) system [Cox et al1995 Cardone and Cox 2009] Final wind fields representthe conditions of 30 min sustained wind speeds at a heightof 10 m with marine exposure Gulf-wide winds are appliedat a resolution of 01 with a finer resolution of 0015 near

Figure 2 The SL18TX33 domain and grid bathymetry (m) of the SL18TX grid Ikersquos track is shownwith the black line for reference

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4429

the landfall location Final wind fields are provided at 15min intervals starting at 1200 UTC 5 September 2008 until0600 UTC 14 September 2008 It should be mentioned thatthe analyzed high resolution OWI HWINDIOKA datainput into ADCIRC differs slightly from the data thatappears in Berg [2009] resulting in slight discrepanciesbetween modeled winds and reported winds

[26] ADCIRC reads these marine wind fields and appliesa wind gust factor of 109 to convert the 30 min sustainedwinds to 10 min sustained winds to be consistent with itsair-sea drag formulation as well as a directional wind

reduction factor representing the reduction in 10 m windspeed as the atmospheric boundary layer evolves due tosurface roughness on land [Bunya et al 2010] ADCIRCapplies a wind drag coefficient that is data-driven windspeed limited and directional [Powell et al 2003 Powell2006 Dietrich et al 2011a]

24 Vertical Datum Adjustment

[27] At the initiation of the simulation at 0000 UTC 8August 2008 water levels are increased to correspond to thedatum shift from local mean sea level to NAVD88 updated

Figure 3 (a) Bathymetrytopography (m) (b) grid size (m) and (c) Manningrsquos n of the SL18TX33grid on the LATEX shelf and coast

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4430

to the 200465 epoch to account for the intraannual sea sur-face variability driven by effects such as upper layer warm-ing and seasonal riverine discharges and the measured sealevel rise from 2004 to 2008 The sea surface is raised 0134m to adjust computed values to NAVD88 200465 [Garsteret al 2007 Bunya et al 2010] and 0025 m due to sealevel rise from 2004 to 2008 Then 0121 m is added due tothe intraannual variation creating a total adjustment of0134 mthorn 0025 mthorn 0121 mfrac14 0280 m (httptidesand-currentsnoaagovsltrendssltrends shtml)

25 Bottom Friction

[28] Hydraulic friction is parameterized in the ADCIRCmodel using a spatially varying Manningrsquos n value [Bunyaet al 2010] These values are applied based on data sup-plied from the following land cover databases LA-GAPMississippi Gap Analysis Program (MS-GAP httpwwwbasicncsuedusegapindexhtml) and the CoastalChange Analysis Program (C-CAP httpwwwcscnoaa-govdigitalcoastdataccapregional) The land classifica-tions have standard Manningrsquos n values associated withthem that are assigned to the nodes via pixel averagingwith values detailed in Dietrich et al [2011a] Offshoreareas with sandygravel bottoms such as the Florida shelfare set to nfrac14 0022 and areas with muddy bottoms like theLATEX shelf are set to nfrac14 0012 [Buczkowski et al2006] The lower LATEX shelf friction is critical to devel-oping fast flows that generate the large forerunner observedduring the storm [Kennedy et al 2011a 2011b] These val-ues are applied at depths gt5 m and they are increased line-arly to nfrac14 0022 toward the shoreline Manningrsquos n valuesfor a portion of the SL18TX33 domain including the LA-TEX shelf and coast are depicted in Figure 3c

[29] SWAN utilizes a roughness length formulated byMadsen et al [1988] based on Manningrsquos n values used inADCIRC and water depths computed in ADCIRC

z0 frac14 Hexp 1thorn H1=6

nffiffiffigp

where frac14 04 (Von Karman constant) Hfrac14 total waterdepth computed in ADCIRC and gfrac14 gravitational constant[Bretschneider et al 1986] SWAN computes a newroughness length at each time step based on updatedADCIRC water level values To avoid unrealistically smallroughness length values the minimum Manningrsquos n valuepassed to SWAN is nfrac14 002 (minimum n is set to 003 forSTWAVE)

26 Rivers

[30] River inflow into the domain occurs at two loca-tions Baton Rouge LA representing the Mississippi Riverand Simmesport LA representing the Atchafalaya RiverBoth locations use a river-wave radiation boundary condi-tion in order to allow tides and storm surge to propagateupstream past these boundaries [Westerink et al 2008Bunya et al 2010] River flow is ramped up from zerousing a hyperbolic ramp function for a period of 05 daysFollowing the ramping period river levels are given 3 daysto reach equilibrium After 35 days river levels at theinflow boundaries are held constant and tidal forcing com-mences with meteorological forcing starting at a later

specified time River discharges were determined usingdata from the US Army Corps of Engineers New OrleansDistrict (httpwwwmvnusacearmymil) for the periodbetween 5 September 2008 and 15 September 2008 Riverflow rates used were 12210 m3s and 5233 m3s for theMississippi and Atchafalaya Rivers respectively

27 Tides

[31] Periodic conditions are applied at the open oceanboundary along the 60W meridian Astronomical tides(K1 O1 Q1 P1 M2 S2 N2 and K2) are forced on the openocean boundary using the TPXO72 tidal atlas [Egbert etal 1994 Egbert and Erofeeva 2002] Nodal factors andequilibrium arguments are computed and applied for thesimulation start time Tides are ramped using a hyperbolictangent function for 12 days to avoid exciting spuriousmodes in the resonant Gulf of Mexico and Caribbean Seabasins reaching full amplitude 25 days before the start ofmeteorological forcing

3 Recorded Data

[32] Following Katrina and Rita existing gages werestrengthened to assure data records were produced for theduration of tropical storms Additionally temporary gageswere placed in nearshore areas such as marshes creeks and1ndash5 km offshore to produce a composite understanding ofwave and surge generation evolution and dissipation andprovide a wealth of validation data (Table 3) Each time se-ries was reviewed and assessed for accuracy and reliabilitywith range limited or failed periods of data being removedto assure appropriate comparison to model solutions

4 Synoptic History and Validation

[33] The evolution of Hurricane Ike winds waves andsurge fields as simulated by the coupled SWANthornADCIRCmodel and qualitative and quantitative comparisons to datausing the extensive wave and water level data are pre-sented The simulation is started from a cold start on 0000UTC 8 August 2008 with a 35 day riverine spin-up periodallowing river levels to reach equilibrium followed by a 12day tidal spin allowing the tides in the Gulf of Mexico toattain a dynamic equilibrium A 105 day Gustav simula-tion is run from 0000 UTC 26 August 2008 to 1200 UTC 5September 2008 to establish ambient water level conditionsprior to Ike which is simulated over a 10 day period from1200 UTC 5 September 2008 to 1200 UTC 15 September2008 Wind wave water level and current fields through-out the period of 18 h prior to landfall to 12 h after landfallare shown in Figures 4ndash8 Time series and locations ofselect wind wave water level and current stations are pre-sented in Figures 9ndash25

41 Winds

[34] Ike crossed the 60oW meridian at 0430 UTC 5 Sep-tember 2008 entering the SL18TX33 domain Before enter-ing the Gulf of Mexico Ike made landfall in eastern andwestern Cuba Upon entering the Gulf at 2030 UTC 9 Sep-tember 2008 Ike moved northwest and grew in size [Berg2009] Tropical storm force winds (10 min sustained surfacewinds of at least 15 m s1) first reached the MississippiRiver Delta in Southern Louisiana at 1500 UTC 11

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4431

September 2008 40 h before landfall and persisted for morethan 36 h Winds over the Mississippi Breton and Chande-leur Sounds were consistently easterly and southeasterly anddirected toward the protruding Mississippi River Delta sig-nificantly impacting surge development in the regionAccording to OWI HWINDIOKA reanalysis Ike reached

its peak wind speed of 41 m s1 in the Gulf of Mexico at0430 UTC 12 September 2008 At this point Ikersquos tropicalstorm force and stronger winds produced an integrated ki-netic energy of 154 TJ corresponding to a 54 out of a possi-ble 6 on the Surge Destructive Potential Scale [Powell andReinhold 2007] with tropical storm force winds and

Figure 4 Wind speeds m s1 on the LATEX shelf and coast during Ike Vectors representing windspeed and direction are displayed Plots represent the following times (a) 1300 UTC 12 September2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before land-fall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4432

hurricane force winds extended out 400 km and 140 kmrespectively from the center of the hurricane After slightlyweakening later on 12 September 2008 Ike would againreach a peak wind speed of 41 m s1 before and at landfallat Galveston TX at 0700 UTC 13 September 2008

[35] During the period from 1300 UTC 12 September2008 18 h prior to landfall until 0100 UTC 13 September2008 6 h prior to landfall much of the LATEX shelf andcoast experienced shore-parallel winds as a result of thelarge size of the storm and large-scale circular coastal ge-ography of the region Figures 4andash4c Winds shifted slowly

as the storm progressed and areas in the immediate vicinityof landfall such as Galveston Island and the Bolivar Penin-sula did not experience a shift in wind direction until im-mediately before the stormrsquos center had made landfall Atlandfall (Figure 4d) Ikersquos maximum wind speed was 41 ms1 occurring at the coast of the Bolivar Peninsula As Ikeapproached the coast and made landfall winds transitionedto shore-normal orientation blowing onshore northeast oflandfall and offshore southwest of landfall The stormtracked through the east side of Galveston Bay which atlandfall was already filled with more than 2 m of additional

Figure 4 (continued)

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4433

water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

[36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

[37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4434

velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

Figure 5 (continued)

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4435

drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

42 Waves

[38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4436

winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

[39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

Figure 6 (continued)

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4437

lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

[40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4438

heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

[41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

Figure 7 (continued)

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4439

water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4440

on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

[42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

Figure 8 (continued)

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4441

dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

[43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

[44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

[45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4442

Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4443

SI frac14

ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

XN

ifrac141Ei E 2

q1N

XN

ifrac141jOij

and normalized bias

bias frac141N

XN

ifrac141Ei

1N

XN

ifrac141jOij

where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4444

directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

[46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4445

stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4446

parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

43 Surge and Currents

[47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

4447

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

[48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4448

associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

[49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

[51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4449

occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

[52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

[53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4450

recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

[54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

L frac14 TffiffiffiffiffiffiffigHp

4

where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4451

[55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4452

and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

[56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

[57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4453

currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

[58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

[59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

[60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4454

elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

[61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

[62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

Data Source Model

Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

NumberofData Sets SI Bias

Number ofData Sets SI Bias

Number ofData Sets SI Bias

Number ofData Sets SI Bias

NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4455

[63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

5 Conclusions

[64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

Data SourceGeographicLocation Model

Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

Number ofData Sets SI Bias

Number ofData Sets SI Bias

Number ofData Sets SI Bias

Number ofData Sets SI Bias

NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4456

peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

[65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

[66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4457

role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

[67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

[68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

[69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

[70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

Data SourceNumber of Timeseries Data Sets SI Bias

ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

Errors

Number ofHWMs Slope R2

Avg AbsDiff

StdDev

Avg AbsDiff

StdDev

Avg AbsDiff Std Dev

AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4458

Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4459

Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

4460

  • l
  • l
  • l
  • l

    landfall Ike began to shift and track north-northwestwardthen making landfall at Galveston Island TX with a maxi-mum wind speed of 41 m s1 Ike generated a maximum

    measured surge at landfall of 53 m in Chambers CountyTX located to the northeast of Galveston Island (Figure 1)[FEMA 2008] Across the LATEX coast Ike produced surge

    Table 1 Summary of Significant Times and Characteristics of Hurricane Ikea

    HoursRelativeto Landfall

    UTCTime

    UTC Date(2008) Latitude Longitude

    Max WindVelocity

    (ms)

    Radius toMaximum

    Winds (km)

    MinimumCentral

    Pressure (mb)Saffir-Simpson

    Category Notes

    289 0600 1 Sep 172 37 13 167 1006 Trop Depression Formation217 0600 4 Sep 224 550 54 28 935 4 Maximum Intensity1945 0430 5 Sep 236 604 50 28 945 4 Enters SL18thornTX33

    Domain187 1200 5 Sep 234 620 46 28 954 3 OWI winds start138 1300 7 Sep 210 732 49 947 3 Landfall on Great Inagua

    Island Bahamas12475 0215 8 Sep 211 757 50 945 4 Landfall in Holguin Cuba89 1400 9 Sep 226 829 30 - 965 1 Landfall in Pinar del

    Rio Cuba825 2030 9 Sep Enters Gulf of Mexico31 0000 12 Sep 261 900 37 148 954 219 1200 12 Sep 269 922 39 93 954 2 Peak in South Plaquemines13 1800 12 Sep 274 930 39 93 955 2 Shift in track WSE peak

    in NOLA7 0000 13 Sep 283 941 41 74 952 2 WSE peak in Lake

    Pontchartrain0 0700 13 Sep 293 947 41 950 2 Landfall at Galveston

    Texas5 1200 13 Sep 303 952 37 56 959 111 1800 13 Sep 317 953 22 74 974 Trop Storm23 0600 14 Sep 355 937 15 93 986 Trop Depression OWI winds end53 1200 15 Sep End of simulation

    aWinds are 10 min average [Berg 2009] (Automated Tropical Cyclone Forecast Archive ftpftpnhcnoaagovatcf)

    Figure 1 Map of Northern Gulf of Mexico and Louisiana-Texas Coast The black line represents Ikersquostrack ADCIRC grid boundaries and raised features are brown the coastline is solid gray bathymetriccontours (as labeled) are dashed gray Geographic locations of significance are labeled by numbersidentified in Table 2

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4425

    levels of 18 m in Lake Pontchartrain 22 m in Lake Borgne18 m at Grand Isle 30 m near Vermillion Bay LA 45 m atthe Sabine Lake Gulf Outlet 33 m at Galveston Island TXand 15 m at Corpus Christi TX

    [4] Following Hurricanes Katrina and Rita wave andwater level gages were strengthened to become more reli-

    able under hurricane conditions Additionally the use ofshort-term deployable gages placed prestorm nearshore andinland increased the density of recorded data across thecoast As a result of these efforts the number density andextent of wave and water level gages that collected datathroughout the storm surpassed that of any previous storm

    [5] The wave measurements describe generation in deepwater transformation nearshore and dissipation onshoreand are summarized in Table 3 NOAA National DataBuoy Center (NDBC httpwwwndbcnoaagov) wavedata at 13 stations includes offshore buoys on the continen-tal shelf as well as in the deep Gulf Louisiana State Uni-versityrsquos Coastal Studies Institute (CSI httpwwwcsilsuedu) recorded wave data at five nearshoregages off the coast of Southern Louisiana Andrew Ken-nedy (AK) from the University of Notre Dame deployedeight gages via helicopter off the Texas coast from SabineLake to San Antonio Bay in depths ranging from 85 to 16m [Kennedy et al 2012] the US Army Corps of Engi-neers Research and Development Center Coastal Hydraul-ics Laboratory (USACE-CHL) deployed six gages in theTerrebonne and Biloxi marshes that were placed to under-stand the dissipation of waves over wetlands

    [6] Water level time series Table 3 were collectedthroughout the LATEX shelf and adjacent floodplain by theUS Army Corps of Engineers (USACE) the USACE-CHLthe National Oceanic and Atmospheric Organization(NOAA) the US Geological Survey (USGS) the coopera-tive USGS and State of Louisiana Coastwide ReferenceMonitoring System (CRMS) CSI the Texas Coastal OceanObservation Network (TCOON) and AK Time history dataat these 523 stations describe in detail the development andevolution of surge on the LATEX shelf and its subsequentinland penetration High water marks (HWMs) were col-lected for the Federal Emergency Management Agency(FEMA) following the storm Of the available HWMs dataat 206 locations were deemed as reliable indicators of still-

    Table 2 Geographic Locations by Type and Location

    River and Channels

    1 Mississippi River Birdrsquos foot2 Mississippi River Gulf Outlet (MRGO)3 Inner Harbor Navigation Canal (IHNC)4 Gulf Intracoastal Waterway (GIWW)Water Bodies5 Chandeleur Sound6 Lake Borgne7 Lake Pontchartrain8 Lake Maurepas9 Barataria Bay10 Terrebonne Bay11 Vermillion Bay12 Calcasieu Lake13 Sabine Lake14 Galveston Bay15 Corpus Christi BayLocations16 Chandeleur Islands17 Biloxi Marsh18 Caernarvon Marsh19 Plaquemines Parish LA20 New Orleans21 Terrebonne Marsh22 Grand Isle23 Isles Dernieres LA24 Chambers County TX25 Bolivar Peninsula26 Galveston Island27 Houston TX

    Table 3 Summary of Collected Dataa

    Data Type

    Data SourceWaterLevels

    SignificantWave Height

    Mean WaveDirection

    Mean WavePeriod

    Peak WavePeriod

    HighWater Mark Winds Currents

    NDBC 13 9 13 13CSI 5 5 5 5 5 2 2AK 8 8 8 8USACE-CHL 6 5 5 5NOAA 37 29 2USACE 38 33USGS-PERM 33 24USGS-DEPL 50 40TCOON 25 17 4CRMS 321 235TABS 4FEMA 206

    aData sources are as follows NDBC National Data Buoy Center (httpwwwndbcnoaagov) CSI Louisiana State University Coastal Studies Insti-tute (httpwwwcsilsuedu) AK University of Notre Dame Andrew Kennedy [Kennedy et al 2011a] USACE-CHL US Army Corps of EngineersCoastal Hydraulics Laboratory (J Smith personal communication 2009) NOAA National Oceanic and Atmospheric Administration (httptidesand-currentsnoaagov) USACE US Army Corps of Engineers (http wwwrivergagescom personal communication 2011) USGS-PERM US Geo-logical Survey (D Walters personal communication 2009) (httppubsusgsgovof20081365) USGS-DEPL US Geological Survey [East et al2008] TCOON Texas Coastal Ocean Observation Network (httplighthousetamucceduTCOON) CRMS Coastwide Reference Monitoring System(httpwwwlacoastgovcrms2) TABS Texas Automated Buoy System (httptabsgergtamuedu) FEMA Federal Emergency Management Agency[FEMA 2008 2009]

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4426

    water elevations and resulting solely from Ike An additional393 water level time histories were identified as recordingreliable still water high water levels All water levels are ref-erenced to the North American Vertical Datum of 1988(NAVD88 200465 epoch in Louisiana)

    [7] Wind data were used from four NOAA and twoTCOON stations along the LATEX coast and current datawere used from two CSI and four Texas Automated BuoySystem (TABS httptabsgergtamuedu) stations on thecontinental shelf

    [8] The measurement data provide a comprehensivedescription of Ikersquos waves and storm surge Ikersquos expansivewave fields with maximum measured significant waveheights reaching 10 m in the deep Gulf were dominated bylocally generated seas and well-defined swells that reachedshore prior to the storm making landfall Effective attenua-tion occurred on the continental shelf in the nearshore andespecially behind barrier islands and within wetlands

    [9] Storm surge was dictated by geography bathymetryand storm track and included a variety of fundamentallydifferent physical processes Steady easterly winds acrossthe Mississippi Sound and over the Biloxi and CaernarvonMarshes persisted as Ike was progressing across the Gulf ofMexico This resulted in the effective capture of surge bythe protruding Mississippi River Delta and river systemwhich projects onto the continental shelf This slow processlasted 2 days created a surge of 15ndash25 m in Lake Borgneand at the convergence of the Mississippi River Gulf Outlet(MRGO) and Gulf Intracoastal Waterway (GIWW) Fromthis point surge flowed into the Inner Harbor NavigationCanal (IHNC) into the heart of New Orleans peaking 13 hbefore landfall with a maximum water level of 25 m Thisregional surge also drove water into Lakes Pontchartrainand Maurepas to the north of New Orleans through theRigolets Chef Menteur Pass and Pass Manchac where 18m of surge was observed within Lake Pontchartrain peak-ing 7 h before landfall The same process occurred to thesouth and east of New Orleans in the marshes and wetlandsof Plaquemines Parish Water from Chandeleur Sound waspushed into the Caernarvon Marsh reaching 3 m at EnglishTurn A 2 m surge was pushed from Breton Sound againstthe protruding west bank Mississippi River levee south ofPoint-a-la-Hache where there is no corresponding levee onthe east bank [Kerr et al 2013a 2013b] peaking approxi-mately 19 h before landfall Having penetrated the riverthis surge propagated upstream The south and west facingportions of the lsquolsquoBirdrsquos Footrsquorsquo developed surge influencedby wave radiation stress gradient induced setup and moder-ate shore normal winds and reached uniform levels of12 m

    [10] The region from the Atchafalaya and VermillionBays to Galveston Bay was influenced by a geostrophicallydriven surge forerunner and by shore-perpendicular wind-driven surge Water levels along this coast reached 2ndash25 mmore than 12 h prior to landfall while winds were still pre-dominantly shore parallel or directed offshore Factors con-trolling this Coriolis-driven early setup included the wideLATEX shelf with its smooth muddy bottom Ikersquos largesize and steady northwest track and the concave shape ofthe coast being coincident with the shore parallel winds[Buczkowski et al 2006 Kennedy et al 2011a 2011b]The time scale associated with the forerunner allowed

    surge to penetrate far inland into hydraulically connectedwater bodies and adjacent low lying coastal floodplainsFor example Morganrsquos Point within Galveston Bay andManchester Point in the Houston Ship Channel experiencedwater levels of up to 2 m more than 12 h before landfall

    [11] The coastal forerunner propagated as a free conti-nental shelf wave from Galveston TX southward on theLATEX shelf reaching Corpus Christi TX with an ampli-tude of 15 m The time of arrival of the continental shelfwave at Corpus Christi approximately 300 km southwestof Galveston coincided with the landfall of the storm atGalveston This was the largest measured continental shelfwave ever reported in the literature [Kennedy et al 2011a2011b]

    [12] The region between the Atchafalaya and VermillionBays and Galveston Bay also experienced a peak surgecoincident to peak shore-normal winds ranging from 3 madjacent to the Atchafalaya Bay to 5 m to the west of Sab-ine Lake and to 35 m near Galveston TX Theforerunner-driven higher water levels within GalvestonBay persisted through the arrival of the strong winds atlandfall combining the forerunner and the wind-drivensurge levels within and around the bay

    [13] As the storm passed and winds subsided the coastalsurge receded back onto the shelf The abrupt bathymetricchange at the continental shelf break led to an out-of-phasereflection of the surge back onto the shelf The recordshows a cross shelf wave appearing at the coast three timeswith increased damping with each cycle The cross shelfwave has a period of approximately 12 h coinciding withthe resonant period of the shelf The resonant period of theshelf can also be seen in the strong amplification of semi-diurnal tides on the wide portion of the LATEX shelf cen-tered at Lakes Sabine and Calcasieu [Mukai et al 2002]

    [14] The scale and complexity of the Gulf coastal fea-tures on the LATEX shelf and the inland floodplain requirethe use of computational models that are basin-scale multi-process and provide a high level of resolution in manyareas A coupled nonphase resolving wave and circulationmodel was used to simulate the waves riverine drivenflows tides and the wave-driven wind-driven andpressure-driven circulation during Ike SWANthornADCIRCis a tightly coupled modeling system that operates on anunstructured mesh allowing for interaction of waves andcirculation and has recently been applied to hindcastKatrina Rita Gustav and Ike [Westerink et al 2008 Die-trich et al 2011a 2011b 2012b] As a means of compari-son ADCIRC has also been coupled to the Wave Model(WAM) and the Steady State Spectral Wave (STWAVE)model [Komen et al 1994 Smith 2000 Smith et al2001 Geurounther 2005 Smith 2007 Bender et al 2013]which evaluate wave conditions on a sequence of struc-tured grids throughout the Gulf and LATEX shelf and hasbeen used to hindcast Katrina Rita and Gustav [Bunya etal 2010 Dietrich et al 2010 2011a]

    [15] For Ike the SWANthornADCIRC model uses theSL18TX33 computational domain that encompasses thewestern North Atlantic Gulf of Mexico and CaribbeanSea and provides a very high level of resolution on the LA-TEX shelf and adjacent floodplain from Pensacola FL tothe Texas-Mexico border The SL18TX33 computationaldomain is an evolution of a sequence of earlier Louisiana

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4427

    models with significant refinements in grid resolution andthe incorporation of the entire Texas coastal floodplain[Westerink et al 2008 Bunya et al 2010 Dietrich et al2010 2011a] Nearshore and onshore maximum elementsize is 200 m with a minimum of 20 m in channels and riv-ers The continental shelf in the Gulf of Mexico is resolvedwith an element size of 500 m to 1 km increasing to 1ndash5km in the deep Gulf of Mexico The SL18TX33 mesh is animprovement over earlier studies because high levels of re-solution are extended from the southern Texas borderthrough Mobile Bay AL and thus it describes the entireregion that was affected as Ike moved onto the shelf andmade landfall

    [16] Based on the unprecedented quality and quantity ofmeasured event wave and water level data the multitude ofdriver processes along the LATEX coast the developmentof a highly resolved computational model of the entire LA-TEX coast and adjacent basins and the availability of ahigh-resolution data-assimilated wind input field Ikepresents a unique and highly challenging opportunity tovalidate the performance of SWANthornADCIRC Modelwave and water level responses will be qualitatively andquantitatively evaluated in comparison to measured dataand put into context relative to the component physics

    2 Model Description

    [17] Significant progress has been made in recent yearsto achieve full dynamic coupling of riverine flow tidesatmospheric pressure wind and waves in simulating hurri-cane waves and circulation Basin-scale to inlet-scaledomains incorporate basins shelves inland water bodieschannels and floodplains and require high spatial meshvariability in order to properly resolve processes at a localscale Large high-performance computing platforms withover 10000 cores in conjunction with highly scalableunstructured mesh codes have allowed theseimprovements

    21 Wave and Surge Model

    [18] ADCIRC was implemented for this simulation as atwo-dimensional explicit barotropic model and solves themodified shallow water equations for water levels anddepth-averaged velocities in the x and y directions U and Vrespectively [Kolar et al 1994 Dawson et al 2006 West-erink et al 2008 Luettich and Westerink 2004 httpwwwunceduimsadcircadcirc_theory_2004_12_08 pdf]

    [19] Sufficient mixing on the continental shelf due towave action has allowed for the two-dimensional depth-integrated version of ADCIRC to be successfully appliedObservations in the Gulf during Hurricane Ivan (2004)indicate a well-mixed layer of 60 m during the passage ofthe storm [Mitchell et al 2005] Numerical studies suggestthat turbulent mixing due to the interaction of windswaves and currents during Hurricane Frances (2004) in theupper ocean boundary layer extends down on the order of100 m [Sullivan et al 2012]

    [20] The integrally coupled SWANthornADCIRC modeloperates on a single unstructured mesh with ADCIRC solv-ing for water levels and currents via the shallow waterequations at a 05 s time step ADCIRC passes these solu-tions to the unstructured implementation of SWAN which

    solves the wave action balance equation and passes waveradiation stresses back to ADCIRC [Booij et al 1999 Riset al 1999 Zijlema 2010 Dietrich et al 2011b] Infor-mation is exchanged every 600 model seconds equivalentto the time step used in the SWAN computation For theSWAN model wave direction is discretized into 36 regularbins frequency is logarithmically distributed over 40 binsranging from 0031384 to 142 Hz wave growth mecha-nisms due to wind formulation is based on Cavaleri andRizzoli [1981] and Komen et al [1984] and modifiedwhitecapping is based on Rogers et al [2008] In shallowwater depth-induced wave breaking is determined viaBattjes and Janssenrsquos [1978] spectral model with the break-ing index set to frac14 073 [Battjes and Stive 1985] Thesesource term parameterizations are identical to recent stud-ies using SWANthornADCIRC [Dietrich et al 2011a]Within SWAN spectral propagation velocities are limitedin areas where insufficient mesh resolution may cause spu-rious wave refraction [Dietrich et al 2012a 2012b]

    [21] Wave hindcasts are also performed with the WAMand STWAVE wave models coupled to ADCIRC WAM isrun on a Gulf-wide structured mesh and generates solutionsthat are forced as boundary conditions for STWAVE on asequence of structured grids along the LATEX coast[Komen et al 1994 Smith 2000 Smith et al 2001Geurounther 2005 Smith 2007 Bender et al 2013] WAM isa third-generation model solving the action balance equa-tion with 28 logarithmically distributed frequency bins and24 equally spaced directional bins run on a structured Gulf-wide mesh with 005 resolution WAM is run independ-ently using default parameters and its solution is used tospecify the wave conditions at the boundary of theSTWAVE nearshore wave model in conjunction withADCIRC-generated winds and water levels STWAVEuses a sequence of structured nearshore meshes with a reso-lution of 200 m STWAVE solves the wave action balanceequation using 45 frequency bins ranging from 00314 to208 Hz and 72 equally spaced directional bins The WAMSTWAVEthornADCIRC paradigm has demonstrated highskill in simulating nearshore waves and surge [Bunya et al2010 Dietrich et al 2010] Because of the loose couplingof ADCIRC to WAMSTWAVE model duration is notrequired to coincide

    22 SL18TX33 Mesh

    [22] The hindcast of Hurricane Ike applies theSWANthornADCIRC model to the SL18TX33 computationalmesh The mesh domain includes the western North AtlanticOcean Caribbean Sea Gulf of Mexico and coastal flood-plains of Alabama Mississippi Louisiana and Texas (Fig-ure 2) The mesh is the result of merging and refining twomeshes TX2008_R33 [Kennedy et al 2011a 2011b] andSL18 an evolution of the Louisiana SL16 mesh [Dietrich etal 2011a] Grid resolution varies from 20 km or larger inthe deep Atlantic and Caribbean 1ndash5 km in the central Gulfof Mexico 1 km and lower on the continental shelf 100ndash200 m in nearshore wave transformation zones and as smallas 20 m in channels and other similarly sized hydraulic fea-tures The mesh consists of 9108128 nodes (vertices) and18061765 triangular elements At every computationalnode over the 600 s coupling interval SWAN solves 1440unknowns (36 directions 40 frequencies every 600 s) for

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4428

    every 3600 ADCIRC unknowns (x and y direction currentsand water level every 05 s)

    [23] Bathymetric data for the Atlantic Caribbean anddeep Gulf of Mexico was obtained from the ETOPO1 dataset [Amante and Eakins 2009] Nearshore areas werespecified using Coastal relief digital elevation models(httpwwwngdcnoaagovmggcoastal) with data forinland water bodies including lakes channels and riverscoming from recent USACE and NOAA surveys Marsh to-pography was specified based on marsh type with the Loui-siana Gap Analysis Program (LA-GAP httpatlaslsuedurasterdownhtm) land-cover databases withnonmarsh topography based on LiDAR (httpatlas-lsuedulidar) [Dietrich et al 2011a] In all cases bathym-etrytopography was applied to the mesh using a localelement-scale averaging to avoid discontinuities Relevanthydraulic barriers such as levees roads and coastal dunesthat lie below minimum mesh resolution are represented inthe mesh as lines of raised vertices or submesh-scale weirs[Westerink et al 2008] All coastal features are set to ele-vations consistent with post-Ike conditions Bathymetricvalues and element sizes for the portion of the SL18TX33domain that include the LATEX shelf and coast aredepicted in Figures 3a and 3b

    [24] The use of the SL18TX33 mesh captures the basinshelf-scale and inland response physics of tides wavesand surge generated by Ike The broad spatial scale of theprocesses driven by Ike necessitates a computational do-main encompassing the entire Gulf of Mexico and LATEXcoast

    23 Winds

    [25] Ikersquos core wind field was developed by NOAArsquosHurricane Research Division Wind Analysis System(HWIND) To create the wind field data were assimilatedfrom in situ monitoring systems (buoys and wind towers)remote sensing by satellites and active measurement byaircraft [Powell et al 1996 1998 2010] HWIND analy-sis is provided for an 8 8 area centered on the centralposition of the storm HWIND analysis is provided at 3 hintervals starting at 1930 UTC 5 September 2008 until1630 UTC 13 September 2008 HWIND analysis isblended with Gulf scale winds produced by the InteractiveKinematic Objective Analysis (IOKA) system [Cox et al1995 Cardone and Cox 2009] Final wind fields representthe conditions of 30 min sustained wind speeds at a heightof 10 m with marine exposure Gulf-wide winds are appliedat a resolution of 01 with a finer resolution of 0015 near

    Figure 2 The SL18TX33 domain and grid bathymetry (m) of the SL18TX grid Ikersquos track is shownwith the black line for reference

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4429

    the landfall location Final wind fields are provided at 15min intervals starting at 1200 UTC 5 September 2008 until0600 UTC 14 September 2008 It should be mentioned thatthe analyzed high resolution OWI HWINDIOKA datainput into ADCIRC differs slightly from the data thatappears in Berg [2009] resulting in slight discrepanciesbetween modeled winds and reported winds

    [26] ADCIRC reads these marine wind fields and appliesa wind gust factor of 109 to convert the 30 min sustainedwinds to 10 min sustained winds to be consistent with itsair-sea drag formulation as well as a directional wind

    reduction factor representing the reduction in 10 m windspeed as the atmospheric boundary layer evolves due tosurface roughness on land [Bunya et al 2010] ADCIRCapplies a wind drag coefficient that is data-driven windspeed limited and directional [Powell et al 2003 Powell2006 Dietrich et al 2011a]

    24 Vertical Datum Adjustment

    [27] At the initiation of the simulation at 0000 UTC 8August 2008 water levels are increased to correspond to thedatum shift from local mean sea level to NAVD88 updated

    Figure 3 (a) Bathymetrytopography (m) (b) grid size (m) and (c) Manningrsquos n of the SL18TX33grid on the LATEX shelf and coast

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4430

    to the 200465 epoch to account for the intraannual sea sur-face variability driven by effects such as upper layer warm-ing and seasonal riverine discharges and the measured sealevel rise from 2004 to 2008 The sea surface is raised 0134m to adjust computed values to NAVD88 200465 [Garsteret al 2007 Bunya et al 2010] and 0025 m due to sealevel rise from 2004 to 2008 Then 0121 m is added due tothe intraannual variation creating a total adjustment of0134 mthorn 0025 mthorn 0121 mfrac14 0280 m (httptidesand-currentsnoaagovsltrendssltrends shtml)

    25 Bottom Friction

    [28] Hydraulic friction is parameterized in the ADCIRCmodel using a spatially varying Manningrsquos n value [Bunyaet al 2010] These values are applied based on data sup-plied from the following land cover databases LA-GAPMississippi Gap Analysis Program (MS-GAP httpwwwbasicncsuedusegapindexhtml) and the CoastalChange Analysis Program (C-CAP httpwwwcscnoaa-govdigitalcoastdataccapregional) The land classifica-tions have standard Manningrsquos n values associated withthem that are assigned to the nodes via pixel averagingwith values detailed in Dietrich et al [2011a] Offshoreareas with sandygravel bottoms such as the Florida shelfare set to nfrac14 0022 and areas with muddy bottoms like theLATEX shelf are set to nfrac14 0012 [Buczkowski et al2006] The lower LATEX shelf friction is critical to devel-oping fast flows that generate the large forerunner observedduring the storm [Kennedy et al 2011a 2011b] These val-ues are applied at depths gt5 m and they are increased line-arly to nfrac14 0022 toward the shoreline Manningrsquos n valuesfor a portion of the SL18TX33 domain including the LA-TEX shelf and coast are depicted in Figure 3c

    [29] SWAN utilizes a roughness length formulated byMadsen et al [1988] based on Manningrsquos n values used inADCIRC and water depths computed in ADCIRC

    z0 frac14 Hexp 1thorn H1=6

    nffiffiffigp

    where frac14 04 (Von Karman constant) Hfrac14 total waterdepth computed in ADCIRC and gfrac14 gravitational constant[Bretschneider et al 1986] SWAN computes a newroughness length at each time step based on updatedADCIRC water level values To avoid unrealistically smallroughness length values the minimum Manningrsquos n valuepassed to SWAN is nfrac14 002 (minimum n is set to 003 forSTWAVE)

    26 Rivers

    [30] River inflow into the domain occurs at two loca-tions Baton Rouge LA representing the Mississippi Riverand Simmesport LA representing the Atchafalaya RiverBoth locations use a river-wave radiation boundary condi-tion in order to allow tides and storm surge to propagateupstream past these boundaries [Westerink et al 2008Bunya et al 2010] River flow is ramped up from zerousing a hyperbolic ramp function for a period of 05 daysFollowing the ramping period river levels are given 3 daysto reach equilibrium After 35 days river levels at theinflow boundaries are held constant and tidal forcing com-mences with meteorological forcing starting at a later

    specified time River discharges were determined usingdata from the US Army Corps of Engineers New OrleansDistrict (httpwwwmvnusacearmymil) for the periodbetween 5 September 2008 and 15 September 2008 Riverflow rates used were 12210 m3s and 5233 m3s for theMississippi and Atchafalaya Rivers respectively

    27 Tides

    [31] Periodic conditions are applied at the open oceanboundary along the 60W meridian Astronomical tides(K1 O1 Q1 P1 M2 S2 N2 and K2) are forced on the openocean boundary using the TPXO72 tidal atlas [Egbert etal 1994 Egbert and Erofeeva 2002] Nodal factors andequilibrium arguments are computed and applied for thesimulation start time Tides are ramped using a hyperbolictangent function for 12 days to avoid exciting spuriousmodes in the resonant Gulf of Mexico and Caribbean Seabasins reaching full amplitude 25 days before the start ofmeteorological forcing

    3 Recorded Data

    [32] Following Katrina and Rita existing gages werestrengthened to assure data records were produced for theduration of tropical storms Additionally temporary gageswere placed in nearshore areas such as marshes creeks and1ndash5 km offshore to produce a composite understanding ofwave and surge generation evolution and dissipation andprovide a wealth of validation data (Table 3) Each time se-ries was reviewed and assessed for accuracy and reliabilitywith range limited or failed periods of data being removedto assure appropriate comparison to model solutions

    4 Synoptic History and Validation

    [33] The evolution of Hurricane Ike winds waves andsurge fields as simulated by the coupled SWANthornADCIRCmodel and qualitative and quantitative comparisons to datausing the extensive wave and water level data are pre-sented The simulation is started from a cold start on 0000UTC 8 August 2008 with a 35 day riverine spin-up periodallowing river levels to reach equilibrium followed by a 12day tidal spin allowing the tides in the Gulf of Mexico toattain a dynamic equilibrium A 105 day Gustav simula-tion is run from 0000 UTC 26 August 2008 to 1200 UTC 5September 2008 to establish ambient water level conditionsprior to Ike which is simulated over a 10 day period from1200 UTC 5 September 2008 to 1200 UTC 15 September2008 Wind wave water level and current fields through-out the period of 18 h prior to landfall to 12 h after landfallare shown in Figures 4ndash8 Time series and locations ofselect wind wave water level and current stations are pre-sented in Figures 9ndash25

    41 Winds

    [34] Ike crossed the 60oW meridian at 0430 UTC 5 Sep-tember 2008 entering the SL18TX33 domain Before enter-ing the Gulf of Mexico Ike made landfall in eastern andwestern Cuba Upon entering the Gulf at 2030 UTC 9 Sep-tember 2008 Ike moved northwest and grew in size [Berg2009] Tropical storm force winds (10 min sustained surfacewinds of at least 15 m s1) first reached the MississippiRiver Delta in Southern Louisiana at 1500 UTC 11

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4431

    September 2008 40 h before landfall and persisted for morethan 36 h Winds over the Mississippi Breton and Chande-leur Sounds were consistently easterly and southeasterly anddirected toward the protruding Mississippi River Delta sig-nificantly impacting surge development in the regionAccording to OWI HWINDIOKA reanalysis Ike reached

    its peak wind speed of 41 m s1 in the Gulf of Mexico at0430 UTC 12 September 2008 At this point Ikersquos tropicalstorm force and stronger winds produced an integrated ki-netic energy of 154 TJ corresponding to a 54 out of a possi-ble 6 on the Surge Destructive Potential Scale [Powell andReinhold 2007] with tropical storm force winds and

    Figure 4 Wind speeds m s1 on the LATEX shelf and coast during Ike Vectors representing windspeed and direction are displayed Plots represent the following times (a) 1300 UTC 12 September2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before land-fall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4432

    hurricane force winds extended out 400 km and 140 kmrespectively from the center of the hurricane After slightlyweakening later on 12 September 2008 Ike would againreach a peak wind speed of 41 m s1 before and at landfallat Galveston TX at 0700 UTC 13 September 2008

    [35] During the period from 1300 UTC 12 September2008 18 h prior to landfall until 0100 UTC 13 September2008 6 h prior to landfall much of the LATEX shelf andcoast experienced shore-parallel winds as a result of thelarge size of the storm and large-scale circular coastal ge-ography of the region Figures 4andash4c Winds shifted slowly

    as the storm progressed and areas in the immediate vicinityof landfall such as Galveston Island and the Bolivar Penin-sula did not experience a shift in wind direction until im-mediately before the stormrsquos center had made landfall Atlandfall (Figure 4d) Ikersquos maximum wind speed was 41 ms1 occurring at the coast of the Bolivar Peninsula As Ikeapproached the coast and made landfall winds transitionedto shore-normal orientation blowing onshore northeast oflandfall and offshore southwest of landfall The stormtracked through the east side of Galveston Bay which atlandfall was already filled with more than 2 m of additional

    Figure 4 (continued)

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4433

    water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

    [36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

    tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

    [37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

    Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4434

    velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

    short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

    Figure 5 (continued)

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4435

    drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

    nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

    42 Waves

    [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

    Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4436

    winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

    deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

    [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

    Figure 6 (continued)

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4437

    lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

    [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

    Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4438

    heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

    [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

    and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

    Figure 7 (continued)

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4439

    water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

    s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

    Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4440

    on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

    [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

    nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

    Figure 8 (continued)

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4441

    dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

    [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

    [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

    coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

    [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

    Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

    Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4442

    Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

    Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4443

    SI frac14

    ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

    XN

    ifrac141Ei E 2

    q1N

    XN

    ifrac141jOij

    and normalized bias

    bias frac141N

    XN

    ifrac141Ei

    1N

    XN

    ifrac141jOij

    where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

    Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4444

    directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

    [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

    cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

    Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4445

    stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

    the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

    Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4446

    parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

    modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

    43 Surge and Currents

    [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

    Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

    4447

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

    [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

    NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

    Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4448

    associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

    [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

    current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

    allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

    [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

    the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

    Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4449

    occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

    [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

    and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

    [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

    Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4450

    recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

    [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

    driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

    L frac14 TffiffiffiffiffiffiffigHp

    4

    where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

    Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4451

    [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

    marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

    Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4452

    and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

    [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

    [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

    PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

    Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4453

    currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

    [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

    [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

    [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

    Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

    Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4454

    elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

    [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

    [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

    overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

    Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

    Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

    Data Source Model

    Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

    NumberofData Sets SI Bias

    Number ofData Sets SI Bias

    Number ofData Sets SI Bias

    Number ofData Sets SI Bias

    NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

    WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

    CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

    USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

    AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4455

    [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

    5 Conclusions

    [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

    Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

    Data SourceGeographicLocation Model

    Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

    Number ofData Sets SI Bias

    Number ofData Sets SI Bias

    Number ofData Sets SI Bias

    Number ofData Sets SI Bias

    NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

    CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

    USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

    AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

    Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

    Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

    Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

    All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

    aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

    bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

    Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4456

    peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

    waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

    [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

    [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

    Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

    Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4457

    role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

    [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

    [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

    [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

    modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

    [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

    ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

    model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

    Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

    Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

    Data SourceNumber of Timeseries Data Sets SI Bias

    ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

    Errors

    Number ofHWMs Slope R2

    Avg AbsDiff

    StdDev

    Avg AbsDiff

    StdDev

    Avg AbsDiff Std Dev

    AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

    aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4458

    Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

    Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

    Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

    Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

    Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

    Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

    Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

    Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

    Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

    Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

    Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

    Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

    Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

    Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

    Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

    Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

    East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

    Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

    Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

    FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

    FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

    Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

    tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

    Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

    Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

    Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

    Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

    Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

    Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

    Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

    Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

    Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

    Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

    Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

    Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

    Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

    Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

    Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

    Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

    Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

    Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

    Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

    Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

    Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4459

    Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

    Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

    Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

    Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

    Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

    Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

    Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

    Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

    4460

    • l
    • l
    • l
    • l

      levels of 18 m in Lake Pontchartrain 22 m in Lake Borgne18 m at Grand Isle 30 m near Vermillion Bay LA 45 m atthe Sabine Lake Gulf Outlet 33 m at Galveston Island TXand 15 m at Corpus Christi TX

      [4] Following Hurricanes Katrina and Rita wave andwater level gages were strengthened to become more reli-

      able under hurricane conditions Additionally the use ofshort-term deployable gages placed prestorm nearshore andinland increased the density of recorded data across thecoast As a result of these efforts the number density andextent of wave and water level gages that collected datathroughout the storm surpassed that of any previous storm

      [5] The wave measurements describe generation in deepwater transformation nearshore and dissipation onshoreand are summarized in Table 3 NOAA National DataBuoy Center (NDBC httpwwwndbcnoaagov) wavedata at 13 stations includes offshore buoys on the continen-tal shelf as well as in the deep Gulf Louisiana State Uni-versityrsquos Coastal Studies Institute (CSI httpwwwcsilsuedu) recorded wave data at five nearshoregages off the coast of Southern Louisiana Andrew Ken-nedy (AK) from the University of Notre Dame deployedeight gages via helicopter off the Texas coast from SabineLake to San Antonio Bay in depths ranging from 85 to 16m [Kennedy et al 2012] the US Army Corps of Engi-neers Research and Development Center Coastal Hydraul-ics Laboratory (USACE-CHL) deployed six gages in theTerrebonne and Biloxi marshes that were placed to under-stand the dissipation of waves over wetlands

      [6] Water level time series Table 3 were collectedthroughout the LATEX shelf and adjacent floodplain by theUS Army Corps of Engineers (USACE) the USACE-CHLthe National Oceanic and Atmospheric Organization(NOAA) the US Geological Survey (USGS) the coopera-tive USGS and State of Louisiana Coastwide ReferenceMonitoring System (CRMS) CSI the Texas Coastal OceanObservation Network (TCOON) and AK Time history dataat these 523 stations describe in detail the development andevolution of surge on the LATEX shelf and its subsequentinland penetration High water marks (HWMs) were col-lected for the Federal Emergency Management Agency(FEMA) following the storm Of the available HWMs dataat 206 locations were deemed as reliable indicators of still-

      Table 2 Geographic Locations by Type and Location

      River and Channels

      1 Mississippi River Birdrsquos foot2 Mississippi River Gulf Outlet (MRGO)3 Inner Harbor Navigation Canal (IHNC)4 Gulf Intracoastal Waterway (GIWW)Water Bodies5 Chandeleur Sound6 Lake Borgne7 Lake Pontchartrain8 Lake Maurepas9 Barataria Bay10 Terrebonne Bay11 Vermillion Bay12 Calcasieu Lake13 Sabine Lake14 Galveston Bay15 Corpus Christi BayLocations16 Chandeleur Islands17 Biloxi Marsh18 Caernarvon Marsh19 Plaquemines Parish LA20 New Orleans21 Terrebonne Marsh22 Grand Isle23 Isles Dernieres LA24 Chambers County TX25 Bolivar Peninsula26 Galveston Island27 Houston TX

      Table 3 Summary of Collected Dataa

      Data Type

      Data SourceWaterLevels

      SignificantWave Height

      Mean WaveDirection

      Mean WavePeriod

      Peak WavePeriod

      HighWater Mark Winds Currents

      NDBC 13 9 13 13CSI 5 5 5 5 5 2 2AK 8 8 8 8USACE-CHL 6 5 5 5NOAA 37 29 2USACE 38 33USGS-PERM 33 24USGS-DEPL 50 40TCOON 25 17 4CRMS 321 235TABS 4FEMA 206

      aData sources are as follows NDBC National Data Buoy Center (httpwwwndbcnoaagov) CSI Louisiana State University Coastal Studies Insti-tute (httpwwwcsilsuedu) AK University of Notre Dame Andrew Kennedy [Kennedy et al 2011a] USACE-CHL US Army Corps of EngineersCoastal Hydraulics Laboratory (J Smith personal communication 2009) NOAA National Oceanic and Atmospheric Administration (httptidesand-currentsnoaagov) USACE US Army Corps of Engineers (http wwwrivergagescom personal communication 2011) USGS-PERM US Geo-logical Survey (D Walters personal communication 2009) (httppubsusgsgovof20081365) USGS-DEPL US Geological Survey [East et al2008] TCOON Texas Coastal Ocean Observation Network (httplighthousetamucceduTCOON) CRMS Coastwide Reference Monitoring System(httpwwwlacoastgovcrms2) TABS Texas Automated Buoy System (httptabsgergtamuedu) FEMA Federal Emergency Management Agency[FEMA 2008 2009]

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4426

      water elevations and resulting solely from Ike An additional393 water level time histories were identified as recordingreliable still water high water levels All water levels are ref-erenced to the North American Vertical Datum of 1988(NAVD88 200465 epoch in Louisiana)

      [7] Wind data were used from four NOAA and twoTCOON stations along the LATEX coast and current datawere used from two CSI and four Texas Automated BuoySystem (TABS httptabsgergtamuedu) stations on thecontinental shelf

      [8] The measurement data provide a comprehensivedescription of Ikersquos waves and storm surge Ikersquos expansivewave fields with maximum measured significant waveheights reaching 10 m in the deep Gulf were dominated bylocally generated seas and well-defined swells that reachedshore prior to the storm making landfall Effective attenua-tion occurred on the continental shelf in the nearshore andespecially behind barrier islands and within wetlands

      [9] Storm surge was dictated by geography bathymetryand storm track and included a variety of fundamentallydifferent physical processes Steady easterly winds acrossthe Mississippi Sound and over the Biloxi and CaernarvonMarshes persisted as Ike was progressing across the Gulf ofMexico This resulted in the effective capture of surge bythe protruding Mississippi River Delta and river systemwhich projects onto the continental shelf This slow processlasted 2 days created a surge of 15ndash25 m in Lake Borgneand at the convergence of the Mississippi River Gulf Outlet(MRGO) and Gulf Intracoastal Waterway (GIWW) Fromthis point surge flowed into the Inner Harbor NavigationCanal (IHNC) into the heart of New Orleans peaking 13 hbefore landfall with a maximum water level of 25 m Thisregional surge also drove water into Lakes Pontchartrainand Maurepas to the north of New Orleans through theRigolets Chef Menteur Pass and Pass Manchac where 18m of surge was observed within Lake Pontchartrain peak-ing 7 h before landfall The same process occurred to thesouth and east of New Orleans in the marshes and wetlandsof Plaquemines Parish Water from Chandeleur Sound waspushed into the Caernarvon Marsh reaching 3 m at EnglishTurn A 2 m surge was pushed from Breton Sound againstthe protruding west bank Mississippi River levee south ofPoint-a-la-Hache where there is no corresponding levee onthe east bank [Kerr et al 2013a 2013b] peaking approxi-mately 19 h before landfall Having penetrated the riverthis surge propagated upstream The south and west facingportions of the lsquolsquoBirdrsquos Footrsquorsquo developed surge influencedby wave radiation stress gradient induced setup and moder-ate shore normal winds and reached uniform levels of12 m

      [10] The region from the Atchafalaya and VermillionBays to Galveston Bay was influenced by a geostrophicallydriven surge forerunner and by shore-perpendicular wind-driven surge Water levels along this coast reached 2ndash25 mmore than 12 h prior to landfall while winds were still pre-dominantly shore parallel or directed offshore Factors con-trolling this Coriolis-driven early setup included the wideLATEX shelf with its smooth muddy bottom Ikersquos largesize and steady northwest track and the concave shape ofthe coast being coincident with the shore parallel winds[Buczkowski et al 2006 Kennedy et al 2011a 2011b]The time scale associated with the forerunner allowed

      surge to penetrate far inland into hydraulically connectedwater bodies and adjacent low lying coastal floodplainsFor example Morganrsquos Point within Galveston Bay andManchester Point in the Houston Ship Channel experiencedwater levels of up to 2 m more than 12 h before landfall

      [11] The coastal forerunner propagated as a free conti-nental shelf wave from Galveston TX southward on theLATEX shelf reaching Corpus Christi TX with an ampli-tude of 15 m The time of arrival of the continental shelfwave at Corpus Christi approximately 300 km southwestof Galveston coincided with the landfall of the storm atGalveston This was the largest measured continental shelfwave ever reported in the literature [Kennedy et al 2011a2011b]

      [12] The region between the Atchafalaya and VermillionBays and Galveston Bay also experienced a peak surgecoincident to peak shore-normal winds ranging from 3 madjacent to the Atchafalaya Bay to 5 m to the west of Sab-ine Lake and to 35 m near Galveston TX Theforerunner-driven higher water levels within GalvestonBay persisted through the arrival of the strong winds atlandfall combining the forerunner and the wind-drivensurge levels within and around the bay

      [13] As the storm passed and winds subsided the coastalsurge receded back onto the shelf The abrupt bathymetricchange at the continental shelf break led to an out-of-phasereflection of the surge back onto the shelf The recordshows a cross shelf wave appearing at the coast three timeswith increased damping with each cycle The cross shelfwave has a period of approximately 12 h coinciding withthe resonant period of the shelf The resonant period of theshelf can also be seen in the strong amplification of semi-diurnal tides on the wide portion of the LATEX shelf cen-tered at Lakes Sabine and Calcasieu [Mukai et al 2002]

      [14] The scale and complexity of the Gulf coastal fea-tures on the LATEX shelf and the inland floodplain requirethe use of computational models that are basin-scale multi-process and provide a high level of resolution in manyareas A coupled nonphase resolving wave and circulationmodel was used to simulate the waves riverine drivenflows tides and the wave-driven wind-driven andpressure-driven circulation during Ike SWANthornADCIRCis a tightly coupled modeling system that operates on anunstructured mesh allowing for interaction of waves andcirculation and has recently been applied to hindcastKatrina Rita Gustav and Ike [Westerink et al 2008 Die-trich et al 2011a 2011b 2012b] As a means of compari-son ADCIRC has also been coupled to the Wave Model(WAM) and the Steady State Spectral Wave (STWAVE)model [Komen et al 1994 Smith 2000 Smith et al2001 Geurounther 2005 Smith 2007 Bender et al 2013]which evaluate wave conditions on a sequence of struc-tured grids throughout the Gulf and LATEX shelf and hasbeen used to hindcast Katrina Rita and Gustav [Bunya etal 2010 Dietrich et al 2010 2011a]

      [15] For Ike the SWANthornADCIRC model uses theSL18TX33 computational domain that encompasses thewestern North Atlantic Gulf of Mexico and CaribbeanSea and provides a very high level of resolution on the LA-TEX shelf and adjacent floodplain from Pensacola FL tothe Texas-Mexico border The SL18TX33 computationaldomain is an evolution of a sequence of earlier Louisiana

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4427

      models with significant refinements in grid resolution andthe incorporation of the entire Texas coastal floodplain[Westerink et al 2008 Bunya et al 2010 Dietrich et al2010 2011a] Nearshore and onshore maximum elementsize is 200 m with a minimum of 20 m in channels and riv-ers The continental shelf in the Gulf of Mexico is resolvedwith an element size of 500 m to 1 km increasing to 1ndash5km in the deep Gulf of Mexico The SL18TX33 mesh is animprovement over earlier studies because high levels of re-solution are extended from the southern Texas borderthrough Mobile Bay AL and thus it describes the entireregion that was affected as Ike moved onto the shelf andmade landfall

      [16] Based on the unprecedented quality and quantity ofmeasured event wave and water level data the multitude ofdriver processes along the LATEX coast the developmentof a highly resolved computational model of the entire LA-TEX coast and adjacent basins and the availability of ahigh-resolution data-assimilated wind input field Ikepresents a unique and highly challenging opportunity tovalidate the performance of SWANthornADCIRC Modelwave and water level responses will be qualitatively andquantitatively evaluated in comparison to measured dataand put into context relative to the component physics

      2 Model Description

      [17] Significant progress has been made in recent yearsto achieve full dynamic coupling of riverine flow tidesatmospheric pressure wind and waves in simulating hurri-cane waves and circulation Basin-scale to inlet-scaledomains incorporate basins shelves inland water bodieschannels and floodplains and require high spatial meshvariability in order to properly resolve processes at a localscale Large high-performance computing platforms withover 10000 cores in conjunction with highly scalableunstructured mesh codes have allowed theseimprovements

      21 Wave and Surge Model

      [18] ADCIRC was implemented for this simulation as atwo-dimensional explicit barotropic model and solves themodified shallow water equations for water levels anddepth-averaged velocities in the x and y directions U and Vrespectively [Kolar et al 1994 Dawson et al 2006 West-erink et al 2008 Luettich and Westerink 2004 httpwwwunceduimsadcircadcirc_theory_2004_12_08 pdf]

      [19] Sufficient mixing on the continental shelf due towave action has allowed for the two-dimensional depth-integrated version of ADCIRC to be successfully appliedObservations in the Gulf during Hurricane Ivan (2004)indicate a well-mixed layer of 60 m during the passage ofthe storm [Mitchell et al 2005] Numerical studies suggestthat turbulent mixing due to the interaction of windswaves and currents during Hurricane Frances (2004) in theupper ocean boundary layer extends down on the order of100 m [Sullivan et al 2012]

      [20] The integrally coupled SWANthornADCIRC modeloperates on a single unstructured mesh with ADCIRC solv-ing for water levels and currents via the shallow waterequations at a 05 s time step ADCIRC passes these solu-tions to the unstructured implementation of SWAN which

      solves the wave action balance equation and passes waveradiation stresses back to ADCIRC [Booij et al 1999 Riset al 1999 Zijlema 2010 Dietrich et al 2011b] Infor-mation is exchanged every 600 model seconds equivalentto the time step used in the SWAN computation For theSWAN model wave direction is discretized into 36 regularbins frequency is logarithmically distributed over 40 binsranging from 0031384 to 142 Hz wave growth mecha-nisms due to wind formulation is based on Cavaleri andRizzoli [1981] and Komen et al [1984] and modifiedwhitecapping is based on Rogers et al [2008] In shallowwater depth-induced wave breaking is determined viaBattjes and Janssenrsquos [1978] spectral model with the break-ing index set to frac14 073 [Battjes and Stive 1985] Thesesource term parameterizations are identical to recent stud-ies using SWANthornADCIRC [Dietrich et al 2011a]Within SWAN spectral propagation velocities are limitedin areas where insufficient mesh resolution may cause spu-rious wave refraction [Dietrich et al 2012a 2012b]

      [21] Wave hindcasts are also performed with the WAMand STWAVE wave models coupled to ADCIRC WAM isrun on a Gulf-wide structured mesh and generates solutionsthat are forced as boundary conditions for STWAVE on asequence of structured grids along the LATEX coast[Komen et al 1994 Smith 2000 Smith et al 2001Geurounther 2005 Smith 2007 Bender et al 2013] WAM isa third-generation model solving the action balance equa-tion with 28 logarithmically distributed frequency bins and24 equally spaced directional bins run on a structured Gulf-wide mesh with 005 resolution WAM is run independ-ently using default parameters and its solution is used tospecify the wave conditions at the boundary of theSTWAVE nearshore wave model in conjunction withADCIRC-generated winds and water levels STWAVEuses a sequence of structured nearshore meshes with a reso-lution of 200 m STWAVE solves the wave action balanceequation using 45 frequency bins ranging from 00314 to208 Hz and 72 equally spaced directional bins The WAMSTWAVEthornADCIRC paradigm has demonstrated highskill in simulating nearshore waves and surge [Bunya et al2010 Dietrich et al 2010] Because of the loose couplingof ADCIRC to WAMSTWAVE model duration is notrequired to coincide

      22 SL18TX33 Mesh

      [22] The hindcast of Hurricane Ike applies theSWANthornADCIRC model to the SL18TX33 computationalmesh The mesh domain includes the western North AtlanticOcean Caribbean Sea Gulf of Mexico and coastal flood-plains of Alabama Mississippi Louisiana and Texas (Fig-ure 2) The mesh is the result of merging and refining twomeshes TX2008_R33 [Kennedy et al 2011a 2011b] andSL18 an evolution of the Louisiana SL16 mesh [Dietrich etal 2011a] Grid resolution varies from 20 km or larger inthe deep Atlantic and Caribbean 1ndash5 km in the central Gulfof Mexico 1 km and lower on the continental shelf 100ndash200 m in nearshore wave transformation zones and as smallas 20 m in channels and other similarly sized hydraulic fea-tures The mesh consists of 9108128 nodes (vertices) and18061765 triangular elements At every computationalnode over the 600 s coupling interval SWAN solves 1440unknowns (36 directions 40 frequencies every 600 s) for

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4428

      every 3600 ADCIRC unknowns (x and y direction currentsand water level every 05 s)

      [23] Bathymetric data for the Atlantic Caribbean anddeep Gulf of Mexico was obtained from the ETOPO1 dataset [Amante and Eakins 2009] Nearshore areas werespecified using Coastal relief digital elevation models(httpwwwngdcnoaagovmggcoastal) with data forinland water bodies including lakes channels and riverscoming from recent USACE and NOAA surveys Marsh to-pography was specified based on marsh type with the Loui-siana Gap Analysis Program (LA-GAP httpatlaslsuedurasterdownhtm) land-cover databases withnonmarsh topography based on LiDAR (httpatlas-lsuedulidar) [Dietrich et al 2011a] In all cases bathym-etrytopography was applied to the mesh using a localelement-scale averaging to avoid discontinuities Relevanthydraulic barriers such as levees roads and coastal dunesthat lie below minimum mesh resolution are represented inthe mesh as lines of raised vertices or submesh-scale weirs[Westerink et al 2008] All coastal features are set to ele-vations consistent with post-Ike conditions Bathymetricvalues and element sizes for the portion of the SL18TX33domain that include the LATEX shelf and coast aredepicted in Figures 3a and 3b

      [24] The use of the SL18TX33 mesh captures the basinshelf-scale and inland response physics of tides wavesand surge generated by Ike The broad spatial scale of theprocesses driven by Ike necessitates a computational do-main encompassing the entire Gulf of Mexico and LATEXcoast

      23 Winds

      [25] Ikersquos core wind field was developed by NOAArsquosHurricane Research Division Wind Analysis System(HWIND) To create the wind field data were assimilatedfrom in situ monitoring systems (buoys and wind towers)remote sensing by satellites and active measurement byaircraft [Powell et al 1996 1998 2010] HWIND analy-sis is provided for an 8 8 area centered on the centralposition of the storm HWIND analysis is provided at 3 hintervals starting at 1930 UTC 5 September 2008 until1630 UTC 13 September 2008 HWIND analysis isblended with Gulf scale winds produced by the InteractiveKinematic Objective Analysis (IOKA) system [Cox et al1995 Cardone and Cox 2009] Final wind fields representthe conditions of 30 min sustained wind speeds at a heightof 10 m with marine exposure Gulf-wide winds are appliedat a resolution of 01 with a finer resolution of 0015 near

      Figure 2 The SL18TX33 domain and grid bathymetry (m) of the SL18TX grid Ikersquos track is shownwith the black line for reference

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4429

      the landfall location Final wind fields are provided at 15min intervals starting at 1200 UTC 5 September 2008 until0600 UTC 14 September 2008 It should be mentioned thatthe analyzed high resolution OWI HWINDIOKA datainput into ADCIRC differs slightly from the data thatappears in Berg [2009] resulting in slight discrepanciesbetween modeled winds and reported winds

      [26] ADCIRC reads these marine wind fields and appliesa wind gust factor of 109 to convert the 30 min sustainedwinds to 10 min sustained winds to be consistent with itsair-sea drag formulation as well as a directional wind

      reduction factor representing the reduction in 10 m windspeed as the atmospheric boundary layer evolves due tosurface roughness on land [Bunya et al 2010] ADCIRCapplies a wind drag coefficient that is data-driven windspeed limited and directional [Powell et al 2003 Powell2006 Dietrich et al 2011a]

      24 Vertical Datum Adjustment

      [27] At the initiation of the simulation at 0000 UTC 8August 2008 water levels are increased to correspond to thedatum shift from local mean sea level to NAVD88 updated

      Figure 3 (a) Bathymetrytopography (m) (b) grid size (m) and (c) Manningrsquos n of the SL18TX33grid on the LATEX shelf and coast

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4430

      to the 200465 epoch to account for the intraannual sea sur-face variability driven by effects such as upper layer warm-ing and seasonal riverine discharges and the measured sealevel rise from 2004 to 2008 The sea surface is raised 0134m to adjust computed values to NAVD88 200465 [Garsteret al 2007 Bunya et al 2010] and 0025 m due to sealevel rise from 2004 to 2008 Then 0121 m is added due tothe intraannual variation creating a total adjustment of0134 mthorn 0025 mthorn 0121 mfrac14 0280 m (httptidesand-currentsnoaagovsltrendssltrends shtml)

      25 Bottom Friction

      [28] Hydraulic friction is parameterized in the ADCIRCmodel using a spatially varying Manningrsquos n value [Bunyaet al 2010] These values are applied based on data sup-plied from the following land cover databases LA-GAPMississippi Gap Analysis Program (MS-GAP httpwwwbasicncsuedusegapindexhtml) and the CoastalChange Analysis Program (C-CAP httpwwwcscnoaa-govdigitalcoastdataccapregional) The land classifica-tions have standard Manningrsquos n values associated withthem that are assigned to the nodes via pixel averagingwith values detailed in Dietrich et al [2011a] Offshoreareas with sandygravel bottoms such as the Florida shelfare set to nfrac14 0022 and areas with muddy bottoms like theLATEX shelf are set to nfrac14 0012 [Buczkowski et al2006] The lower LATEX shelf friction is critical to devel-oping fast flows that generate the large forerunner observedduring the storm [Kennedy et al 2011a 2011b] These val-ues are applied at depths gt5 m and they are increased line-arly to nfrac14 0022 toward the shoreline Manningrsquos n valuesfor a portion of the SL18TX33 domain including the LA-TEX shelf and coast are depicted in Figure 3c

      [29] SWAN utilizes a roughness length formulated byMadsen et al [1988] based on Manningrsquos n values used inADCIRC and water depths computed in ADCIRC

      z0 frac14 Hexp 1thorn H1=6

      nffiffiffigp

      where frac14 04 (Von Karman constant) Hfrac14 total waterdepth computed in ADCIRC and gfrac14 gravitational constant[Bretschneider et al 1986] SWAN computes a newroughness length at each time step based on updatedADCIRC water level values To avoid unrealistically smallroughness length values the minimum Manningrsquos n valuepassed to SWAN is nfrac14 002 (minimum n is set to 003 forSTWAVE)

      26 Rivers

      [30] River inflow into the domain occurs at two loca-tions Baton Rouge LA representing the Mississippi Riverand Simmesport LA representing the Atchafalaya RiverBoth locations use a river-wave radiation boundary condi-tion in order to allow tides and storm surge to propagateupstream past these boundaries [Westerink et al 2008Bunya et al 2010] River flow is ramped up from zerousing a hyperbolic ramp function for a period of 05 daysFollowing the ramping period river levels are given 3 daysto reach equilibrium After 35 days river levels at theinflow boundaries are held constant and tidal forcing com-mences with meteorological forcing starting at a later

      specified time River discharges were determined usingdata from the US Army Corps of Engineers New OrleansDistrict (httpwwwmvnusacearmymil) for the periodbetween 5 September 2008 and 15 September 2008 Riverflow rates used were 12210 m3s and 5233 m3s for theMississippi and Atchafalaya Rivers respectively

      27 Tides

      [31] Periodic conditions are applied at the open oceanboundary along the 60W meridian Astronomical tides(K1 O1 Q1 P1 M2 S2 N2 and K2) are forced on the openocean boundary using the TPXO72 tidal atlas [Egbert etal 1994 Egbert and Erofeeva 2002] Nodal factors andequilibrium arguments are computed and applied for thesimulation start time Tides are ramped using a hyperbolictangent function for 12 days to avoid exciting spuriousmodes in the resonant Gulf of Mexico and Caribbean Seabasins reaching full amplitude 25 days before the start ofmeteorological forcing

      3 Recorded Data

      [32] Following Katrina and Rita existing gages werestrengthened to assure data records were produced for theduration of tropical storms Additionally temporary gageswere placed in nearshore areas such as marshes creeks and1ndash5 km offshore to produce a composite understanding ofwave and surge generation evolution and dissipation andprovide a wealth of validation data (Table 3) Each time se-ries was reviewed and assessed for accuracy and reliabilitywith range limited or failed periods of data being removedto assure appropriate comparison to model solutions

      4 Synoptic History and Validation

      [33] The evolution of Hurricane Ike winds waves andsurge fields as simulated by the coupled SWANthornADCIRCmodel and qualitative and quantitative comparisons to datausing the extensive wave and water level data are pre-sented The simulation is started from a cold start on 0000UTC 8 August 2008 with a 35 day riverine spin-up periodallowing river levels to reach equilibrium followed by a 12day tidal spin allowing the tides in the Gulf of Mexico toattain a dynamic equilibrium A 105 day Gustav simula-tion is run from 0000 UTC 26 August 2008 to 1200 UTC 5September 2008 to establish ambient water level conditionsprior to Ike which is simulated over a 10 day period from1200 UTC 5 September 2008 to 1200 UTC 15 September2008 Wind wave water level and current fields through-out the period of 18 h prior to landfall to 12 h after landfallare shown in Figures 4ndash8 Time series and locations ofselect wind wave water level and current stations are pre-sented in Figures 9ndash25

      41 Winds

      [34] Ike crossed the 60oW meridian at 0430 UTC 5 Sep-tember 2008 entering the SL18TX33 domain Before enter-ing the Gulf of Mexico Ike made landfall in eastern andwestern Cuba Upon entering the Gulf at 2030 UTC 9 Sep-tember 2008 Ike moved northwest and grew in size [Berg2009] Tropical storm force winds (10 min sustained surfacewinds of at least 15 m s1) first reached the MississippiRiver Delta in Southern Louisiana at 1500 UTC 11

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4431

      September 2008 40 h before landfall and persisted for morethan 36 h Winds over the Mississippi Breton and Chande-leur Sounds were consistently easterly and southeasterly anddirected toward the protruding Mississippi River Delta sig-nificantly impacting surge development in the regionAccording to OWI HWINDIOKA reanalysis Ike reached

      its peak wind speed of 41 m s1 in the Gulf of Mexico at0430 UTC 12 September 2008 At this point Ikersquos tropicalstorm force and stronger winds produced an integrated ki-netic energy of 154 TJ corresponding to a 54 out of a possi-ble 6 on the Surge Destructive Potential Scale [Powell andReinhold 2007] with tropical storm force winds and

      Figure 4 Wind speeds m s1 on the LATEX shelf and coast during Ike Vectors representing windspeed and direction are displayed Plots represent the following times (a) 1300 UTC 12 September2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before land-fall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4432

      hurricane force winds extended out 400 km and 140 kmrespectively from the center of the hurricane After slightlyweakening later on 12 September 2008 Ike would againreach a peak wind speed of 41 m s1 before and at landfallat Galveston TX at 0700 UTC 13 September 2008

      [35] During the period from 1300 UTC 12 September2008 18 h prior to landfall until 0100 UTC 13 September2008 6 h prior to landfall much of the LATEX shelf andcoast experienced shore-parallel winds as a result of thelarge size of the storm and large-scale circular coastal ge-ography of the region Figures 4andash4c Winds shifted slowly

      as the storm progressed and areas in the immediate vicinityof landfall such as Galveston Island and the Bolivar Penin-sula did not experience a shift in wind direction until im-mediately before the stormrsquos center had made landfall Atlandfall (Figure 4d) Ikersquos maximum wind speed was 41 ms1 occurring at the coast of the Bolivar Peninsula As Ikeapproached the coast and made landfall winds transitionedto shore-normal orientation blowing onshore northeast oflandfall and offshore southwest of landfall The stormtracked through the east side of Galveston Bay which atlandfall was already filled with more than 2 m of additional

      Figure 4 (continued)

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4433

      water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

      [36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

      tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

      [37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

      Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4434

      velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

      short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

      Figure 5 (continued)

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4435

      drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

      nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

      42 Waves

      [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

      Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4436

      winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

      deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

      [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

      Figure 6 (continued)

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4437

      lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

      [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

      Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4438

      heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

      [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

      and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

      Figure 7 (continued)

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4439

      water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

      s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

      Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4440

      on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

      [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

      nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

      Figure 8 (continued)

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4441

      dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

      [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

      [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

      coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

      [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

      Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

      Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4442

      Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

      Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4443

      SI frac14

      ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

      XN

      ifrac141Ei E 2

      q1N

      XN

      ifrac141jOij

      and normalized bias

      bias frac141N

      XN

      ifrac141Ei

      1N

      XN

      ifrac141jOij

      where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

      Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4444

      directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

      [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

      cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

      Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4445

      stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

      the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

      Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4446

      parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

      modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

      43 Surge and Currents

      [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

      Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

      4447

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

      [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

      NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

      Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4448

      associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

      [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

      current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

      allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

      [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

      the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

      Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4449

      occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

      [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

      and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

      [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

      Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4450

      recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

      [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

      driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

      L frac14 TffiffiffiffiffiffiffigHp

      4

      where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

      Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4451

      [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

      marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

      Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4452

      and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

      [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

      [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

      PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

      Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4453

      currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

      [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

      [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

      [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

      Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

      Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4454

      elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

      [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

      [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

      overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

      Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

      Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

      Data Source Model

      Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

      NumberofData Sets SI Bias

      Number ofData Sets SI Bias

      Number ofData Sets SI Bias

      Number ofData Sets SI Bias

      NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

      WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

      CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

      USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

      AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4455

      [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

      5 Conclusions

      [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

      Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

      Data SourceGeographicLocation Model

      Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

      Number ofData Sets SI Bias

      Number ofData Sets SI Bias

      Number ofData Sets SI Bias

      Number ofData Sets SI Bias

      NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

      CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

      USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

      AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

      Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

      Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

      Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

      All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

      aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

      bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

      Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4456

      peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

      waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

      [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

      [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

      Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

      Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4457

      role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

      [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

      [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

      [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

      modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

      [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

      ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

      model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

      Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

      Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

      Data SourceNumber of Timeseries Data Sets SI Bias

      ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

      Errors

      Number ofHWMs Slope R2

      Avg AbsDiff

      StdDev

      Avg AbsDiff

      StdDev

      Avg AbsDiff Std Dev

      AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

      aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4458

      Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

      Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

      Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

      Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

      Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

      Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

      Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

      Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

      Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

      Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

      Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

      Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

      Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

      Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

      Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

      Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

      East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

      Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

      Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

      FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

      FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

      Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

      tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

      Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

      Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

      Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

      Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

      Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

      Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

      Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

      Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

      Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

      Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

      Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

      Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

      Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

      Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

      Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

      Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

      Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

      Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

      Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

      Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

      Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4459

      Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

      Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

      Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

      Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

      Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

      Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

      Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

      Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

      4460

      • l
      • l
      • l
      • l

        water elevations and resulting solely from Ike An additional393 water level time histories were identified as recordingreliable still water high water levels All water levels are ref-erenced to the North American Vertical Datum of 1988(NAVD88 200465 epoch in Louisiana)

        [7] Wind data were used from four NOAA and twoTCOON stations along the LATEX coast and current datawere used from two CSI and four Texas Automated BuoySystem (TABS httptabsgergtamuedu) stations on thecontinental shelf

        [8] The measurement data provide a comprehensivedescription of Ikersquos waves and storm surge Ikersquos expansivewave fields with maximum measured significant waveheights reaching 10 m in the deep Gulf were dominated bylocally generated seas and well-defined swells that reachedshore prior to the storm making landfall Effective attenua-tion occurred on the continental shelf in the nearshore andespecially behind barrier islands and within wetlands

        [9] Storm surge was dictated by geography bathymetryand storm track and included a variety of fundamentallydifferent physical processes Steady easterly winds acrossthe Mississippi Sound and over the Biloxi and CaernarvonMarshes persisted as Ike was progressing across the Gulf ofMexico This resulted in the effective capture of surge bythe protruding Mississippi River Delta and river systemwhich projects onto the continental shelf This slow processlasted 2 days created a surge of 15ndash25 m in Lake Borgneand at the convergence of the Mississippi River Gulf Outlet(MRGO) and Gulf Intracoastal Waterway (GIWW) Fromthis point surge flowed into the Inner Harbor NavigationCanal (IHNC) into the heart of New Orleans peaking 13 hbefore landfall with a maximum water level of 25 m Thisregional surge also drove water into Lakes Pontchartrainand Maurepas to the north of New Orleans through theRigolets Chef Menteur Pass and Pass Manchac where 18m of surge was observed within Lake Pontchartrain peak-ing 7 h before landfall The same process occurred to thesouth and east of New Orleans in the marshes and wetlandsof Plaquemines Parish Water from Chandeleur Sound waspushed into the Caernarvon Marsh reaching 3 m at EnglishTurn A 2 m surge was pushed from Breton Sound againstthe protruding west bank Mississippi River levee south ofPoint-a-la-Hache where there is no corresponding levee onthe east bank [Kerr et al 2013a 2013b] peaking approxi-mately 19 h before landfall Having penetrated the riverthis surge propagated upstream The south and west facingportions of the lsquolsquoBirdrsquos Footrsquorsquo developed surge influencedby wave radiation stress gradient induced setup and moder-ate shore normal winds and reached uniform levels of12 m

        [10] The region from the Atchafalaya and VermillionBays to Galveston Bay was influenced by a geostrophicallydriven surge forerunner and by shore-perpendicular wind-driven surge Water levels along this coast reached 2ndash25 mmore than 12 h prior to landfall while winds were still pre-dominantly shore parallel or directed offshore Factors con-trolling this Coriolis-driven early setup included the wideLATEX shelf with its smooth muddy bottom Ikersquos largesize and steady northwest track and the concave shape ofthe coast being coincident with the shore parallel winds[Buczkowski et al 2006 Kennedy et al 2011a 2011b]The time scale associated with the forerunner allowed

        surge to penetrate far inland into hydraulically connectedwater bodies and adjacent low lying coastal floodplainsFor example Morganrsquos Point within Galveston Bay andManchester Point in the Houston Ship Channel experiencedwater levels of up to 2 m more than 12 h before landfall

        [11] The coastal forerunner propagated as a free conti-nental shelf wave from Galveston TX southward on theLATEX shelf reaching Corpus Christi TX with an ampli-tude of 15 m The time of arrival of the continental shelfwave at Corpus Christi approximately 300 km southwestof Galveston coincided with the landfall of the storm atGalveston This was the largest measured continental shelfwave ever reported in the literature [Kennedy et al 2011a2011b]

        [12] The region between the Atchafalaya and VermillionBays and Galveston Bay also experienced a peak surgecoincident to peak shore-normal winds ranging from 3 madjacent to the Atchafalaya Bay to 5 m to the west of Sab-ine Lake and to 35 m near Galveston TX Theforerunner-driven higher water levels within GalvestonBay persisted through the arrival of the strong winds atlandfall combining the forerunner and the wind-drivensurge levels within and around the bay

        [13] As the storm passed and winds subsided the coastalsurge receded back onto the shelf The abrupt bathymetricchange at the continental shelf break led to an out-of-phasereflection of the surge back onto the shelf The recordshows a cross shelf wave appearing at the coast three timeswith increased damping with each cycle The cross shelfwave has a period of approximately 12 h coinciding withthe resonant period of the shelf The resonant period of theshelf can also be seen in the strong amplification of semi-diurnal tides on the wide portion of the LATEX shelf cen-tered at Lakes Sabine and Calcasieu [Mukai et al 2002]

        [14] The scale and complexity of the Gulf coastal fea-tures on the LATEX shelf and the inland floodplain requirethe use of computational models that are basin-scale multi-process and provide a high level of resolution in manyareas A coupled nonphase resolving wave and circulationmodel was used to simulate the waves riverine drivenflows tides and the wave-driven wind-driven andpressure-driven circulation during Ike SWANthornADCIRCis a tightly coupled modeling system that operates on anunstructured mesh allowing for interaction of waves andcirculation and has recently been applied to hindcastKatrina Rita Gustav and Ike [Westerink et al 2008 Die-trich et al 2011a 2011b 2012b] As a means of compari-son ADCIRC has also been coupled to the Wave Model(WAM) and the Steady State Spectral Wave (STWAVE)model [Komen et al 1994 Smith 2000 Smith et al2001 Geurounther 2005 Smith 2007 Bender et al 2013]which evaluate wave conditions on a sequence of struc-tured grids throughout the Gulf and LATEX shelf and hasbeen used to hindcast Katrina Rita and Gustav [Bunya etal 2010 Dietrich et al 2010 2011a]

        [15] For Ike the SWANthornADCIRC model uses theSL18TX33 computational domain that encompasses thewestern North Atlantic Gulf of Mexico and CaribbeanSea and provides a very high level of resolution on the LA-TEX shelf and adjacent floodplain from Pensacola FL tothe Texas-Mexico border The SL18TX33 computationaldomain is an evolution of a sequence of earlier Louisiana

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4427

        models with significant refinements in grid resolution andthe incorporation of the entire Texas coastal floodplain[Westerink et al 2008 Bunya et al 2010 Dietrich et al2010 2011a] Nearshore and onshore maximum elementsize is 200 m with a minimum of 20 m in channels and riv-ers The continental shelf in the Gulf of Mexico is resolvedwith an element size of 500 m to 1 km increasing to 1ndash5km in the deep Gulf of Mexico The SL18TX33 mesh is animprovement over earlier studies because high levels of re-solution are extended from the southern Texas borderthrough Mobile Bay AL and thus it describes the entireregion that was affected as Ike moved onto the shelf andmade landfall

        [16] Based on the unprecedented quality and quantity ofmeasured event wave and water level data the multitude ofdriver processes along the LATEX coast the developmentof a highly resolved computational model of the entire LA-TEX coast and adjacent basins and the availability of ahigh-resolution data-assimilated wind input field Ikepresents a unique and highly challenging opportunity tovalidate the performance of SWANthornADCIRC Modelwave and water level responses will be qualitatively andquantitatively evaluated in comparison to measured dataand put into context relative to the component physics

        2 Model Description

        [17] Significant progress has been made in recent yearsto achieve full dynamic coupling of riverine flow tidesatmospheric pressure wind and waves in simulating hurri-cane waves and circulation Basin-scale to inlet-scaledomains incorporate basins shelves inland water bodieschannels and floodplains and require high spatial meshvariability in order to properly resolve processes at a localscale Large high-performance computing platforms withover 10000 cores in conjunction with highly scalableunstructured mesh codes have allowed theseimprovements

        21 Wave and Surge Model

        [18] ADCIRC was implemented for this simulation as atwo-dimensional explicit barotropic model and solves themodified shallow water equations for water levels anddepth-averaged velocities in the x and y directions U and Vrespectively [Kolar et al 1994 Dawson et al 2006 West-erink et al 2008 Luettich and Westerink 2004 httpwwwunceduimsadcircadcirc_theory_2004_12_08 pdf]

        [19] Sufficient mixing on the continental shelf due towave action has allowed for the two-dimensional depth-integrated version of ADCIRC to be successfully appliedObservations in the Gulf during Hurricane Ivan (2004)indicate a well-mixed layer of 60 m during the passage ofthe storm [Mitchell et al 2005] Numerical studies suggestthat turbulent mixing due to the interaction of windswaves and currents during Hurricane Frances (2004) in theupper ocean boundary layer extends down on the order of100 m [Sullivan et al 2012]

        [20] The integrally coupled SWANthornADCIRC modeloperates on a single unstructured mesh with ADCIRC solv-ing for water levels and currents via the shallow waterequations at a 05 s time step ADCIRC passes these solu-tions to the unstructured implementation of SWAN which

        solves the wave action balance equation and passes waveradiation stresses back to ADCIRC [Booij et al 1999 Riset al 1999 Zijlema 2010 Dietrich et al 2011b] Infor-mation is exchanged every 600 model seconds equivalentto the time step used in the SWAN computation For theSWAN model wave direction is discretized into 36 regularbins frequency is logarithmically distributed over 40 binsranging from 0031384 to 142 Hz wave growth mecha-nisms due to wind formulation is based on Cavaleri andRizzoli [1981] and Komen et al [1984] and modifiedwhitecapping is based on Rogers et al [2008] In shallowwater depth-induced wave breaking is determined viaBattjes and Janssenrsquos [1978] spectral model with the break-ing index set to frac14 073 [Battjes and Stive 1985] Thesesource term parameterizations are identical to recent stud-ies using SWANthornADCIRC [Dietrich et al 2011a]Within SWAN spectral propagation velocities are limitedin areas where insufficient mesh resolution may cause spu-rious wave refraction [Dietrich et al 2012a 2012b]

        [21] Wave hindcasts are also performed with the WAMand STWAVE wave models coupled to ADCIRC WAM isrun on a Gulf-wide structured mesh and generates solutionsthat are forced as boundary conditions for STWAVE on asequence of structured grids along the LATEX coast[Komen et al 1994 Smith 2000 Smith et al 2001Geurounther 2005 Smith 2007 Bender et al 2013] WAM isa third-generation model solving the action balance equa-tion with 28 logarithmically distributed frequency bins and24 equally spaced directional bins run on a structured Gulf-wide mesh with 005 resolution WAM is run independ-ently using default parameters and its solution is used tospecify the wave conditions at the boundary of theSTWAVE nearshore wave model in conjunction withADCIRC-generated winds and water levels STWAVEuses a sequence of structured nearshore meshes with a reso-lution of 200 m STWAVE solves the wave action balanceequation using 45 frequency bins ranging from 00314 to208 Hz and 72 equally spaced directional bins The WAMSTWAVEthornADCIRC paradigm has demonstrated highskill in simulating nearshore waves and surge [Bunya et al2010 Dietrich et al 2010] Because of the loose couplingof ADCIRC to WAMSTWAVE model duration is notrequired to coincide

        22 SL18TX33 Mesh

        [22] The hindcast of Hurricane Ike applies theSWANthornADCIRC model to the SL18TX33 computationalmesh The mesh domain includes the western North AtlanticOcean Caribbean Sea Gulf of Mexico and coastal flood-plains of Alabama Mississippi Louisiana and Texas (Fig-ure 2) The mesh is the result of merging and refining twomeshes TX2008_R33 [Kennedy et al 2011a 2011b] andSL18 an evolution of the Louisiana SL16 mesh [Dietrich etal 2011a] Grid resolution varies from 20 km or larger inthe deep Atlantic and Caribbean 1ndash5 km in the central Gulfof Mexico 1 km and lower on the continental shelf 100ndash200 m in nearshore wave transformation zones and as smallas 20 m in channels and other similarly sized hydraulic fea-tures The mesh consists of 9108128 nodes (vertices) and18061765 triangular elements At every computationalnode over the 600 s coupling interval SWAN solves 1440unknowns (36 directions 40 frequencies every 600 s) for

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4428

        every 3600 ADCIRC unknowns (x and y direction currentsand water level every 05 s)

        [23] Bathymetric data for the Atlantic Caribbean anddeep Gulf of Mexico was obtained from the ETOPO1 dataset [Amante and Eakins 2009] Nearshore areas werespecified using Coastal relief digital elevation models(httpwwwngdcnoaagovmggcoastal) with data forinland water bodies including lakes channels and riverscoming from recent USACE and NOAA surveys Marsh to-pography was specified based on marsh type with the Loui-siana Gap Analysis Program (LA-GAP httpatlaslsuedurasterdownhtm) land-cover databases withnonmarsh topography based on LiDAR (httpatlas-lsuedulidar) [Dietrich et al 2011a] In all cases bathym-etrytopography was applied to the mesh using a localelement-scale averaging to avoid discontinuities Relevanthydraulic barriers such as levees roads and coastal dunesthat lie below minimum mesh resolution are represented inthe mesh as lines of raised vertices or submesh-scale weirs[Westerink et al 2008] All coastal features are set to ele-vations consistent with post-Ike conditions Bathymetricvalues and element sizes for the portion of the SL18TX33domain that include the LATEX shelf and coast aredepicted in Figures 3a and 3b

        [24] The use of the SL18TX33 mesh captures the basinshelf-scale and inland response physics of tides wavesand surge generated by Ike The broad spatial scale of theprocesses driven by Ike necessitates a computational do-main encompassing the entire Gulf of Mexico and LATEXcoast

        23 Winds

        [25] Ikersquos core wind field was developed by NOAArsquosHurricane Research Division Wind Analysis System(HWIND) To create the wind field data were assimilatedfrom in situ monitoring systems (buoys and wind towers)remote sensing by satellites and active measurement byaircraft [Powell et al 1996 1998 2010] HWIND analy-sis is provided for an 8 8 area centered on the centralposition of the storm HWIND analysis is provided at 3 hintervals starting at 1930 UTC 5 September 2008 until1630 UTC 13 September 2008 HWIND analysis isblended with Gulf scale winds produced by the InteractiveKinematic Objective Analysis (IOKA) system [Cox et al1995 Cardone and Cox 2009] Final wind fields representthe conditions of 30 min sustained wind speeds at a heightof 10 m with marine exposure Gulf-wide winds are appliedat a resolution of 01 with a finer resolution of 0015 near

        Figure 2 The SL18TX33 domain and grid bathymetry (m) of the SL18TX grid Ikersquos track is shownwith the black line for reference

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4429

        the landfall location Final wind fields are provided at 15min intervals starting at 1200 UTC 5 September 2008 until0600 UTC 14 September 2008 It should be mentioned thatthe analyzed high resolution OWI HWINDIOKA datainput into ADCIRC differs slightly from the data thatappears in Berg [2009] resulting in slight discrepanciesbetween modeled winds and reported winds

        [26] ADCIRC reads these marine wind fields and appliesa wind gust factor of 109 to convert the 30 min sustainedwinds to 10 min sustained winds to be consistent with itsair-sea drag formulation as well as a directional wind

        reduction factor representing the reduction in 10 m windspeed as the atmospheric boundary layer evolves due tosurface roughness on land [Bunya et al 2010] ADCIRCapplies a wind drag coefficient that is data-driven windspeed limited and directional [Powell et al 2003 Powell2006 Dietrich et al 2011a]

        24 Vertical Datum Adjustment

        [27] At the initiation of the simulation at 0000 UTC 8August 2008 water levels are increased to correspond to thedatum shift from local mean sea level to NAVD88 updated

        Figure 3 (a) Bathymetrytopography (m) (b) grid size (m) and (c) Manningrsquos n of the SL18TX33grid on the LATEX shelf and coast

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4430

        to the 200465 epoch to account for the intraannual sea sur-face variability driven by effects such as upper layer warm-ing and seasonal riverine discharges and the measured sealevel rise from 2004 to 2008 The sea surface is raised 0134m to adjust computed values to NAVD88 200465 [Garsteret al 2007 Bunya et al 2010] and 0025 m due to sealevel rise from 2004 to 2008 Then 0121 m is added due tothe intraannual variation creating a total adjustment of0134 mthorn 0025 mthorn 0121 mfrac14 0280 m (httptidesand-currentsnoaagovsltrendssltrends shtml)

        25 Bottom Friction

        [28] Hydraulic friction is parameterized in the ADCIRCmodel using a spatially varying Manningrsquos n value [Bunyaet al 2010] These values are applied based on data sup-plied from the following land cover databases LA-GAPMississippi Gap Analysis Program (MS-GAP httpwwwbasicncsuedusegapindexhtml) and the CoastalChange Analysis Program (C-CAP httpwwwcscnoaa-govdigitalcoastdataccapregional) The land classifica-tions have standard Manningrsquos n values associated withthem that are assigned to the nodes via pixel averagingwith values detailed in Dietrich et al [2011a] Offshoreareas with sandygravel bottoms such as the Florida shelfare set to nfrac14 0022 and areas with muddy bottoms like theLATEX shelf are set to nfrac14 0012 [Buczkowski et al2006] The lower LATEX shelf friction is critical to devel-oping fast flows that generate the large forerunner observedduring the storm [Kennedy et al 2011a 2011b] These val-ues are applied at depths gt5 m and they are increased line-arly to nfrac14 0022 toward the shoreline Manningrsquos n valuesfor a portion of the SL18TX33 domain including the LA-TEX shelf and coast are depicted in Figure 3c

        [29] SWAN utilizes a roughness length formulated byMadsen et al [1988] based on Manningrsquos n values used inADCIRC and water depths computed in ADCIRC

        z0 frac14 Hexp 1thorn H1=6

        nffiffiffigp

        where frac14 04 (Von Karman constant) Hfrac14 total waterdepth computed in ADCIRC and gfrac14 gravitational constant[Bretschneider et al 1986] SWAN computes a newroughness length at each time step based on updatedADCIRC water level values To avoid unrealistically smallroughness length values the minimum Manningrsquos n valuepassed to SWAN is nfrac14 002 (minimum n is set to 003 forSTWAVE)

        26 Rivers

        [30] River inflow into the domain occurs at two loca-tions Baton Rouge LA representing the Mississippi Riverand Simmesport LA representing the Atchafalaya RiverBoth locations use a river-wave radiation boundary condi-tion in order to allow tides and storm surge to propagateupstream past these boundaries [Westerink et al 2008Bunya et al 2010] River flow is ramped up from zerousing a hyperbolic ramp function for a period of 05 daysFollowing the ramping period river levels are given 3 daysto reach equilibrium After 35 days river levels at theinflow boundaries are held constant and tidal forcing com-mences with meteorological forcing starting at a later

        specified time River discharges were determined usingdata from the US Army Corps of Engineers New OrleansDistrict (httpwwwmvnusacearmymil) for the periodbetween 5 September 2008 and 15 September 2008 Riverflow rates used were 12210 m3s and 5233 m3s for theMississippi and Atchafalaya Rivers respectively

        27 Tides

        [31] Periodic conditions are applied at the open oceanboundary along the 60W meridian Astronomical tides(K1 O1 Q1 P1 M2 S2 N2 and K2) are forced on the openocean boundary using the TPXO72 tidal atlas [Egbert etal 1994 Egbert and Erofeeva 2002] Nodal factors andequilibrium arguments are computed and applied for thesimulation start time Tides are ramped using a hyperbolictangent function for 12 days to avoid exciting spuriousmodes in the resonant Gulf of Mexico and Caribbean Seabasins reaching full amplitude 25 days before the start ofmeteorological forcing

        3 Recorded Data

        [32] Following Katrina and Rita existing gages werestrengthened to assure data records were produced for theduration of tropical storms Additionally temporary gageswere placed in nearshore areas such as marshes creeks and1ndash5 km offshore to produce a composite understanding ofwave and surge generation evolution and dissipation andprovide a wealth of validation data (Table 3) Each time se-ries was reviewed and assessed for accuracy and reliabilitywith range limited or failed periods of data being removedto assure appropriate comparison to model solutions

        4 Synoptic History and Validation

        [33] The evolution of Hurricane Ike winds waves andsurge fields as simulated by the coupled SWANthornADCIRCmodel and qualitative and quantitative comparisons to datausing the extensive wave and water level data are pre-sented The simulation is started from a cold start on 0000UTC 8 August 2008 with a 35 day riverine spin-up periodallowing river levels to reach equilibrium followed by a 12day tidal spin allowing the tides in the Gulf of Mexico toattain a dynamic equilibrium A 105 day Gustav simula-tion is run from 0000 UTC 26 August 2008 to 1200 UTC 5September 2008 to establish ambient water level conditionsprior to Ike which is simulated over a 10 day period from1200 UTC 5 September 2008 to 1200 UTC 15 September2008 Wind wave water level and current fields through-out the period of 18 h prior to landfall to 12 h after landfallare shown in Figures 4ndash8 Time series and locations ofselect wind wave water level and current stations are pre-sented in Figures 9ndash25

        41 Winds

        [34] Ike crossed the 60oW meridian at 0430 UTC 5 Sep-tember 2008 entering the SL18TX33 domain Before enter-ing the Gulf of Mexico Ike made landfall in eastern andwestern Cuba Upon entering the Gulf at 2030 UTC 9 Sep-tember 2008 Ike moved northwest and grew in size [Berg2009] Tropical storm force winds (10 min sustained surfacewinds of at least 15 m s1) first reached the MississippiRiver Delta in Southern Louisiana at 1500 UTC 11

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4431

        September 2008 40 h before landfall and persisted for morethan 36 h Winds over the Mississippi Breton and Chande-leur Sounds were consistently easterly and southeasterly anddirected toward the protruding Mississippi River Delta sig-nificantly impacting surge development in the regionAccording to OWI HWINDIOKA reanalysis Ike reached

        its peak wind speed of 41 m s1 in the Gulf of Mexico at0430 UTC 12 September 2008 At this point Ikersquos tropicalstorm force and stronger winds produced an integrated ki-netic energy of 154 TJ corresponding to a 54 out of a possi-ble 6 on the Surge Destructive Potential Scale [Powell andReinhold 2007] with tropical storm force winds and

        Figure 4 Wind speeds m s1 on the LATEX shelf and coast during Ike Vectors representing windspeed and direction are displayed Plots represent the following times (a) 1300 UTC 12 September2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before land-fall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4432

        hurricane force winds extended out 400 km and 140 kmrespectively from the center of the hurricane After slightlyweakening later on 12 September 2008 Ike would againreach a peak wind speed of 41 m s1 before and at landfallat Galveston TX at 0700 UTC 13 September 2008

        [35] During the period from 1300 UTC 12 September2008 18 h prior to landfall until 0100 UTC 13 September2008 6 h prior to landfall much of the LATEX shelf andcoast experienced shore-parallel winds as a result of thelarge size of the storm and large-scale circular coastal ge-ography of the region Figures 4andash4c Winds shifted slowly

        as the storm progressed and areas in the immediate vicinityof landfall such as Galveston Island and the Bolivar Penin-sula did not experience a shift in wind direction until im-mediately before the stormrsquos center had made landfall Atlandfall (Figure 4d) Ikersquos maximum wind speed was 41 ms1 occurring at the coast of the Bolivar Peninsula As Ikeapproached the coast and made landfall winds transitionedto shore-normal orientation blowing onshore northeast oflandfall and offshore southwest of landfall The stormtracked through the east side of Galveston Bay which atlandfall was already filled with more than 2 m of additional

        Figure 4 (continued)

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4433

        water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

        [36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

        tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

        [37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

        Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4434

        velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

        short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

        Figure 5 (continued)

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4435

        drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

        nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

        42 Waves

        [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

        Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4436

        winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

        deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

        [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

        Figure 6 (continued)

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4437

        lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

        [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

        Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4438

        heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

        [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

        and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

        Figure 7 (continued)

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4439

        water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

        s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

        Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4440

        on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

        [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

        nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

        Figure 8 (continued)

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4441

        dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

        [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

        [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

        coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

        [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

        Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

        Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4442

        Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

        Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4443

        SI frac14

        ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

        XN

        ifrac141Ei E 2

        q1N

        XN

        ifrac141jOij

        and normalized bias

        bias frac141N

        XN

        ifrac141Ei

        1N

        XN

        ifrac141jOij

        where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

        Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4444

        directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

        [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

        cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

        Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4445

        stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

        the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

        Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4446

        parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

        modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

        43 Surge and Currents

        [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

        Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

        4447

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

        [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

        NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

        Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4448

        associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

        [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

        current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

        allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

        [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

        the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

        Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4449

        occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

        [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

        and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

        [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

        Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4450

        recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

        [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

        driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

        L frac14 TffiffiffiffiffiffiffigHp

        4

        where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

        Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4451

        [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

        marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

        Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4452

        and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

        [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

        [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

        PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

        Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4453

        currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

        [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

        [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

        [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

        Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

        Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4454

        elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

        [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

        [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

        overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

        Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

        Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

        Data Source Model

        Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

        NumberofData Sets SI Bias

        Number ofData Sets SI Bias

        Number ofData Sets SI Bias

        Number ofData Sets SI Bias

        NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

        WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

        CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

        USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

        AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4455

        [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

        5 Conclusions

        [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

        Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

        Data SourceGeographicLocation Model

        Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

        Number ofData Sets SI Bias

        Number ofData Sets SI Bias

        Number ofData Sets SI Bias

        Number ofData Sets SI Bias

        NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

        CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

        USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

        AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

        Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

        Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

        Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

        All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

        aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

        bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

        Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4456

        peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

        waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

        [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

        [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

        Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

        Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4457

        role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

        [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

        [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

        [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

        modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

        [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

        ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

        model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

        Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

        Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

        Data SourceNumber of Timeseries Data Sets SI Bias

        ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

        Errors

        Number ofHWMs Slope R2

        Avg AbsDiff

        StdDev

        Avg AbsDiff

        StdDev

        Avg AbsDiff Std Dev

        AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

        aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4458

        Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

        Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

        Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

        Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

        Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

        Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

        Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

        Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

        Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

        Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

        Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

        Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

        Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

        Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

        Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

        Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

        East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

        Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

        Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

        FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

        FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

        Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

        tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

        Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

        Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

        Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

        Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

        Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

        Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

        Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

        Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

        Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

        Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

        Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

        Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

        Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

        Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

        Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

        Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

        Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

        Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

        Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

        Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

        Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4459

        Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

        Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

        Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

        Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

        Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

        Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

        Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

        Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

        4460

        • l
        • l
        • l
        • l

          models with significant refinements in grid resolution andthe incorporation of the entire Texas coastal floodplain[Westerink et al 2008 Bunya et al 2010 Dietrich et al2010 2011a] Nearshore and onshore maximum elementsize is 200 m with a minimum of 20 m in channels and riv-ers The continental shelf in the Gulf of Mexico is resolvedwith an element size of 500 m to 1 km increasing to 1ndash5km in the deep Gulf of Mexico The SL18TX33 mesh is animprovement over earlier studies because high levels of re-solution are extended from the southern Texas borderthrough Mobile Bay AL and thus it describes the entireregion that was affected as Ike moved onto the shelf andmade landfall

          [16] Based on the unprecedented quality and quantity ofmeasured event wave and water level data the multitude ofdriver processes along the LATEX coast the developmentof a highly resolved computational model of the entire LA-TEX coast and adjacent basins and the availability of ahigh-resolution data-assimilated wind input field Ikepresents a unique and highly challenging opportunity tovalidate the performance of SWANthornADCIRC Modelwave and water level responses will be qualitatively andquantitatively evaluated in comparison to measured dataand put into context relative to the component physics

          2 Model Description

          [17] Significant progress has been made in recent yearsto achieve full dynamic coupling of riverine flow tidesatmospheric pressure wind and waves in simulating hurri-cane waves and circulation Basin-scale to inlet-scaledomains incorporate basins shelves inland water bodieschannels and floodplains and require high spatial meshvariability in order to properly resolve processes at a localscale Large high-performance computing platforms withover 10000 cores in conjunction with highly scalableunstructured mesh codes have allowed theseimprovements

          21 Wave and Surge Model

          [18] ADCIRC was implemented for this simulation as atwo-dimensional explicit barotropic model and solves themodified shallow water equations for water levels anddepth-averaged velocities in the x and y directions U and Vrespectively [Kolar et al 1994 Dawson et al 2006 West-erink et al 2008 Luettich and Westerink 2004 httpwwwunceduimsadcircadcirc_theory_2004_12_08 pdf]

          [19] Sufficient mixing on the continental shelf due towave action has allowed for the two-dimensional depth-integrated version of ADCIRC to be successfully appliedObservations in the Gulf during Hurricane Ivan (2004)indicate a well-mixed layer of 60 m during the passage ofthe storm [Mitchell et al 2005] Numerical studies suggestthat turbulent mixing due to the interaction of windswaves and currents during Hurricane Frances (2004) in theupper ocean boundary layer extends down on the order of100 m [Sullivan et al 2012]

          [20] The integrally coupled SWANthornADCIRC modeloperates on a single unstructured mesh with ADCIRC solv-ing for water levels and currents via the shallow waterequations at a 05 s time step ADCIRC passes these solu-tions to the unstructured implementation of SWAN which

          solves the wave action balance equation and passes waveradiation stresses back to ADCIRC [Booij et al 1999 Riset al 1999 Zijlema 2010 Dietrich et al 2011b] Infor-mation is exchanged every 600 model seconds equivalentto the time step used in the SWAN computation For theSWAN model wave direction is discretized into 36 regularbins frequency is logarithmically distributed over 40 binsranging from 0031384 to 142 Hz wave growth mecha-nisms due to wind formulation is based on Cavaleri andRizzoli [1981] and Komen et al [1984] and modifiedwhitecapping is based on Rogers et al [2008] In shallowwater depth-induced wave breaking is determined viaBattjes and Janssenrsquos [1978] spectral model with the break-ing index set to frac14 073 [Battjes and Stive 1985] Thesesource term parameterizations are identical to recent stud-ies using SWANthornADCIRC [Dietrich et al 2011a]Within SWAN spectral propagation velocities are limitedin areas where insufficient mesh resolution may cause spu-rious wave refraction [Dietrich et al 2012a 2012b]

          [21] Wave hindcasts are also performed with the WAMand STWAVE wave models coupled to ADCIRC WAM isrun on a Gulf-wide structured mesh and generates solutionsthat are forced as boundary conditions for STWAVE on asequence of structured grids along the LATEX coast[Komen et al 1994 Smith 2000 Smith et al 2001Geurounther 2005 Smith 2007 Bender et al 2013] WAM isa third-generation model solving the action balance equa-tion with 28 logarithmically distributed frequency bins and24 equally spaced directional bins run on a structured Gulf-wide mesh with 005 resolution WAM is run independ-ently using default parameters and its solution is used tospecify the wave conditions at the boundary of theSTWAVE nearshore wave model in conjunction withADCIRC-generated winds and water levels STWAVEuses a sequence of structured nearshore meshes with a reso-lution of 200 m STWAVE solves the wave action balanceequation using 45 frequency bins ranging from 00314 to208 Hz and 72 equally spaced directional bins The WAMSTWAVEthornADCIRC paradigm has demonstrated highskill in simulating nearshore waves and surge [Bunya et al2010 Dietrich et al 2010] Because of the loose couplingof ADCIRC to WAMSTWAVE model duration is notrequired to coincide

          22 SL18TX33 Mesh

          [22] The hindcast of Hurricane Ike applies theSWANthornADCIRC model to the SL18TX33 computationalmesh The mesh domain includes the western North AtlanticOcean Caribbean Sea Gulf of Mexico and coastal flood-plains of Alabama Mississippi Louisiana and Texas (Fig-ure 2) The mesh is the result of merging and refining twomeshes TX2008_R33 [Kennedy et al 2011a 2011b] andSL18 an evolution of the Louisiana SL16 mesh [Dietrich etal 2011a] Grid resolution varies from 20 km or larger inthe deep Atlantic and Caribbean 1ndash5 km in the central Gulfof Mexico 1 km and lower on the continental shelf 100ndash200 m in nearshore wave transformation zones and as smallas 20 m in channels and other similarly sized hydraulic fea-tures The mesh consists of 9108128 nodes (vertices) and18061765 triangular elements At every computationalnode over the 600 s coupling interval SWAN solves 1440unknowns (36 directions 40 frequencies every 600 s) for

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4428

          every 3600 ADCIRC unknowns (x and y direction currentsand water level every 05 s)

          [23] Bathymetric data for the Atlantic Caribbean anddeep Gulf of Mexico was obtained from the ETOPO1 dataset [Amante and Eakins 2009] Nearshore areas werespecified using Coastal relief digital elevation models(httpwwwngdcnoaagovmggcoastal) with data forinland water bodies including lakes channels and riverscoming from recent USACE and NOAA surveys Marsh to-pography was specified based on marsh type with the Loui-siana Gap Analysis Program (LA-GAP httpatlaslsuedurasterdownhtm) land-cover databases withnonmarsh topography based on LiDAR (httpatlas-lsuedulidar) [Dietrich et al 2011a] In all cases bathym-etrytopography was applied to the mesh using a localelement-scale averaging to avoid discontinuities Relevanthydraulic barriers such as levees roads and coastal dunesthat lie below minimum mesh resolution are represented inthe mesh as lines of raised vertices or submesh-scale weirs[Westerink et al 2008] All coastal features are set to ele-vations consistent with post-Ike conditions Bathymetricvalues and element sizes for the portion of the SL18TX33domain that include the LATEX shelf and coast aredepicted in Figures 3a and 3b

          [24] The use of the SL18TX33 mesh captures the basinshelf-scale and inland response physics of tides wavesand surge generated by Ike The broad spatial scale of theprocesses driven by Ike necessitates a computational do-main encompassing the entire Gulf of Mexico and LATEXcoast

          23 Winds

          [25] Ikersquos core wind field was developed by NOAArsquosHurricane Research Division Wind Analysis System(HWIND) To create the wind field data were assimilatedfrom in situ monitoring systems (buoys and wind towers)remote sensing by satellites and active measurement byaircraft [Powell et al 1996 1998 2010] HWIND analy-sis is provided for an 8 8 area centered on the centralposition of the storm HWIND analysis is provided at 3 hintervals starting at 1930 UTC 5 September 2008 until1630 UTC 13 September 2008 HWIND analysis isblended with Gulf scale winds produced by the InteractiveKinematic Objective Analysis (IOKA) system [Cox et al1995 Cardone and Cox 2009] Final wind fields representthe conditions of 30 min sustained wind speeds at a heightof 10 m with marine exposure Gulf-wide winds are appliedat a resolution of 01 with a finer resolution of 0015 near

          Figure 2 The SL18TX33 domain and grid bathymetry (m) of the SL18TX grid Ikersquos track is shownwith the black line for reference

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4429

          the landfall location Final wind fields are provided at 15min intervals starting at 1200 UTC 5 September 2008 until0600 UTC 14 September 2008 It should be mentioned thatthe analyzed high resolution OWI HWINDIOKA datainput into ADCIRC differs slightly from the data thatappears in Berg [2009] resulting in slight discrepanciesbetween modeled winds and reported winds

          [26] ADCIRC reads these marine wind fields and appliesa wind gust factor of 109 to convert the 30 min sustainedwinds to 10 min sustained winds to be consistent with itsair-sea drag formulation as well as a directional wind

          reduction factor representing the reduction in 10 m windspeed as the atmospheric boundary layer evolves due tosurface roughness on land [Bunya et al 2010] ADCIRCapplies a wind drag coefficient that is data-driven windspeed limited and directional [Powell et al 2003 Powell2006 Dietrich et al 2011a]

          24 Vertical Datum Adjustment

          [27] At the initiation of the simulation at 0000 UTC 8August 2008 water levels are increased to correspond to thedatum shift from local mean sea level to NAVD88 updated

          Figure 3 (a) Bathymetrytopography (m) (b) grid size (m) and (c) Manningrsquos n of the SL18TX33grid on the LATEX shelf and coast

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4430

          to the 200465 epoch to account for the intraannual sea sur-face variability driven by effects such as upper layer warm-ing and seasonal riverine discharges and the measured sealevel rise from 2004 to 2008 The sea surface is raised 0134m to adjust computed values to NAVD88 200465 [Garsteret al 2007 Bunya et al 2010] and 0025 m due to sealevel rise from 2004 to 2008 Then 0121 m is added due tothe intraannual variation creating a total adjustment of0134 mthorn 0025 mthorn 0121 mfrac14 0280 m (httptidesand-currentsnoaagovsltrendssltrends shtml)

          25 Bottom Friction

          [28] Hydraulic friction is parameterized in the ADCIRCmodel using a spatially varying Manningrsquos n value [Bunyaet al 2010] These values are applied based on data sup-plied from the following land cover databases LA-GAPMississippi Gap Analysis Program (MS-GAP httpwwwbasicncsuedusegapindexhtml) and the CoastalChange Analysis Program (C-CAP httpwwwcscnoaa-govdigitalcoastdataccapregional) The land classifica-tions have standard Manningrsquos n values associated withthem that are assigned to the nodes via pixel averagingwith values detailed in Dietrich et al [2011a] Offshoreareas with sandygravel bottoms such as the Florida shelfare set to nfrac14 0022 and areas with muddy bottoms like theLATEX shelf are set to nfrac14 0012 [Buczkowski et al2006] The lower LATEX shelf friction is critical to devel-oping fast flows that generate the large forerunner observedduring the storm [Kennedy et al 2011a 2011b] These val-ues are applied at depths gt5 m and they are increased line-arly to nfrac14 0022 toward the shoreline Manningrsquos n valuesfor a portion of the SL18TX33 domain including the LA-TEX shelf and coast are depicted in Figure 3c

          [29] SWAN utilizes a roughness length formulated byMadsen et al [1988] based on Manningrsquos n values used inADCIRC and water depths computed in ADCIRC

          z0 frac14 Hexp 1thorn H1=6

          nffiffiffigp

          where frac14 04 (Von Karman constant) Hfrac14 total waterdepth computed in ADCIRC and gfrac14 gravitational constant[Bretschneider et al 1986] SWAN computes a newroughness length at each time step based on updatedADCIRC water level values To avoid unrealistically smallroughness length values the minimum Manningrsquos n valuepassed to SWAN is nfrac14 002 (minimum n is set to 003 forSTWAVE)

          26 Rivers

          [30] River inflow into the domain occurs at two loca-tions Baton Rouge LA representing the Mississippi Riverand Simmesport LA representing the Atchafalaya RiverBoth locations use a river-wave radiation boundary condi-tion in order to allow tides and storm surge to propagateupstream past these boundaries [Westerink et al 2008Bunya et al 2010] River flow is ramped up from zerousing a hyperbolic ramp function for a period of 05 daysFollowing the ramping period river levels are given 3 daysto reach equilibrium After 35 days river levels at theinflow boundaries are held constant and tidal forcing com-mences with meteorological forcing starting at a later

          specified time River discharges were determined usingdata from the US Army Corps of Engineers New OrleansDistrict (httpwwwmvnusacearmymil) for the periodbetween 5 September 2008 and 15 September 2008 Riverflow rates used were 12210 m3s and 5233 m3s for theMississippi and Atchafalaya Rivers respectively

          27 Tides

          [31] Periodic conditions are applied at the open oceanboundary along the 60W meridian Astronomical tides(K1 O1 Q1 P1 M2 S2 N2 and K2) are forced on the openocean boundary using the TPXO72 tidal atlas [Egbert etal 1994 Egbert and Erofeeva 2002] Nodal factors andequilibrium arguments are computed and applied for thesimulation start time Tides are ramped using a hyperbolictangent function for 12 days to avoid exciting spuriousmodes in the resonant Gulf of Mexico and Caribbean Seabasins reaching full amplitude 25 days before the start ofmeteorological forcing

          3 Recorded Data

          [32] Following Katrina and Rita existing gages werestrengthened to assure data records were produced for theduration of tropical storms Additionally temporary gageswere placed in nearshore areas such as marshes creeks and1ndash5 km offshore to produce a composite understanding ofwave and surge generation evolution and dissipation andprovide a wealth of validation data (Table 3) Each time se-ries was reviewed and assessed for accuracy and reliabilitywith range limited or failed periods of data being removedto assure appropriate comparison to model solutions

          4 Synoptic History and Validation

          [33] The evolution of Hurricane Ike winds waves andsurge fields as simulated by the coupled SWANthornADCIRCmodel and qualitative and quantitative comparisons to datausing the extensive wave and water level data are pre-sented The simulation is started from a cold start on 0000UTC 8 August 2008 with a 35 day riverine spin-up periodallowing river levels to reach equilibrium followed by a 12day tidal spin allowing the tides in the Gulf of Mexico toattain a dynamic equilibrium A 105 day Gustav simula-tion is run from 0000 UTC 26 August 2008 to 1200 UTC 5September 2008 to establish ambient water level conditionsprior to Ike which is simulated over a 10 day period from1200 UTC 5 September 2008 to 1200 UTC 15 September2008 Wind wave water level and current fields through-out the period of 18 h prior to landfall to 12 h after landfallare shown in Figures 4ndash8 Time series and locations ofselect wind wave water level and current stations are pre-sented in Figures 9ndash25

          41 Winds

          [34] Ike crossed the 60oW meridian at 0430 UTC 5 Sep-tember 2008 entering the SL18TX33 domain Before enter-ing the Gulf of Mexico Ike made landfall in eastern andwestern Cuba Upon entering the Gulf at 2030 UTC 9 Sep-tember 2008 Ike moved northwest and grew in size [Berg2009] Tropical storm force winds (10 min sustained surfacewinds of at least 15 m s1) first reached the MississippiRiver Delta in Southern Louisiana at 1500 UTC 11

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4431

          September 2008 40 h before landfall and persisted for morethan 36 h Winds over the Mississippi Breton and Chande-leur Sounds were consistently easterly and southeasterly anddirected toward the protruding Mississippi River Delta sig-nificantly impacting surge development in the regionAccording to OWI HWINDIOKA reanalysis Ike reached

          its peak wind speed of 41 m s1 in the Gulf of Mexico at0430 UTC 12 September 2008 At this point Ikersquos tropicalstorm force and stronger winds produced an integrated ki-netic energy of 154 TJ corresponding to a 54 out of a possi-ble 6 on the Surge Destructive Potential Scale [Powell andReinhold 2007] with tropical storm force winds and

          Figure 4 Wind speeds m s1 on the LATEX shelf and coast during Ike Vectors representing windspeed and direction are displayed Plots represent the following times (a) 1300 UTC 12 September2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before land-fall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4432

          hurricane force winds extended out 400 km and 140 kmrespectively from the center of the hurricane After slightlyweakening later on 12 September 2008 Ike would againreach a peak wind speed of 41 m s1 before and at landfallat Galveston TX at 0700 UTC 13 September 2008

          [35] During the period from 1300 UTC 12 September2008 18 h prior to landfall until 0100 UTC 13 September2008 6 h prior to landfall much of the LATEX shelf andcoast experienced shore-parallel winds as a result of thelarge size of the storm and large-scale circular coastal ge-ography of the region Figures 4andash4c Winds shifted slowly

          as the storm progressed and areas in the immediate vicinityof landfall such as Galveston Island and the Bolivar Penin-sula did not experience a shift in wind direction until im-mediately before the stormrsquos center had made landfall Atlandfall (Figure 4d) Ikersquos maximum wind speed was 41 ms1 occurring at the coast of the Bolivar Peninsula As Ikeapproached the coast and made landfall winds transitionedto shore-normal orientation blowing onshore northeast oflandfall and offshore southwest of landfall The stormtracked through the east side of Galveston Bay which atlandfall was already filled with more than 2 m of additional

          Figure 4 (continued)

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4433

          water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

          [36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

          tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

          [37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

          Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4434

          velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

          short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

          Figure 5 (continued)

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4435

          drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

          nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

          42 Waves

          [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

          Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4436

          winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

          deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

          [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

          Figure 6 (continued)

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4437

          lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

          [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

          Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4438

          heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

          [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

          and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

          Figure 7 (continued)

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4439

          water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

          s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

          Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4440

          on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

          [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

          nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

          Figure 8 (continued)

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4441

          dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

          [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

          [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

          coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

          [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

          Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

          Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4442

          Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

          Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4443

          SI frac14

          ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

          XN

          ifrac141Ei E 2

          q1N

          XN

          ifrac141jOij

          and normalized bias

          bias frac141N

          XN

          ifrac141Ei

          1N

          XN

          ifrac141jOij

          where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

          Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4444

          directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

          [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

          cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

          Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4445

          stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

          the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

          Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4446

          parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

          modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

          43 Surge and Currents

          [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

          Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

          4447

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

          [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

          NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

          Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4448

          associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

          [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

          current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

          allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

          [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

          the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

          Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4449

          occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

          [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

          and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

          [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

          Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4450

          recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

          [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

          driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

          L frac14 TffiffiffiffiffiffiffigHp

          4

          where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

          Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4451

          [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

          marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

          Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4452

          and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

          [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

          [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

          PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

          Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4453

          currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

          [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

          [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

          [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

          Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

          Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4454

          elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

          [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

          [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

          overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

          Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

          Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

          Data Source Model

          Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

          NumberofData Sets SI Bias

          Number ofData Sets SI Bias

          Number ofData Sets SI Bias

          Number ofData Sets SI Bias

          NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

          WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

          CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

          USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

          AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4455

          [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

          5 Conclusions

          [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

          Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

          Data SourceGeographicLocation Model

          Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

          Number ofData Sets SI Bias

          Number ofData Sets SI Bias

          Number ofData Sets SI Bias

          Number ofData Sets SI Bias

          NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

          CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

          USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

          AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

          Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

          Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

          Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

          All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

          aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

          bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

          Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4456

          peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

          waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

          [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

          [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

          Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

          Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4457

          role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

          [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

          [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

          [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

          modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

          [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

          ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

          model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

          Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

          Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

          Data SourceNumber of Timeseries Data Sets SI Bias

          ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

          Errors

          Number ofHWMs Slope R2

          Avg AbsDiff

          StdDev

          Avg AbsDiff

          StdDev

          Avg AbsDiff Std Dev

          AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

          aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4458

          Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

          Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

          Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

          Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

          Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

          Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

          Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

          Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

          Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

          Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

          Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

          Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

          Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

          Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

          Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

          Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

          East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

          Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

          Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

          FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

          FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

          Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

          tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

          Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

          Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

          Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

          Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

          Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

          Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

          Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

          Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

          Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

          Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

          Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

          Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

          Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

          Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

          Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

          Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

          Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

          Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

          Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

          Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

          Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4459

          Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

          Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

          Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

          Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

          Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

          Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

          Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

          Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

          4460

          • l
          • l
          • l
          • l

            every 3600 ADCIRC unknowns (x and y direction currentsand water level every 05 s)

            [23] Bathymetric data for the Atlantic Caribbean anddeep Gulf of Mexico was obtained from the ETOPO1 dataset [Amante and Eakins 2009] Nearshore areas werespecified using Coastal relief digital elevation models(httpwwwngdcnoaagovmggcoastal) with data forinland water bodies including lakes channels and riverscoming from recent USACE and NOAA surveys Marsh to-pography was specified based on marsh type with the Loui-siana Gap Analysis Program (LA-GAP httpatlaslsuedurasterdownhtm) land-cover databases withnonmarsh topography based on LiDAR (httpatlas-lsuedulidar) [Dietrich et al 2011a] In all cases bathym-etrytopography was applied to the mesh using a localelement-scale averaging to avoid discontinuities Relevanthydraulic barriers such as levees roads and coastal dunesthat lie below minimum mesh resolution are represented inthe mesh as lines of raised vertices or submesh-scale weirs[Westerink et al 2008] All coastal features are set to ele-vations consistent with post-Ike conditions Bathymetricvalues and element sizes for the portion of the SL18TX33domain that include the LATEX shelf and coast aredepicted in Figures 3a and 3b

            [24] The use of the SL18TX33 mesh captures the basinshelf-scale and inland response physics of tides wavesand surge generated by Ike The broad spatial scale of theprocesses driven by Ike necessitates a computational do-main encompassing the entire Gulf of Mexico and LATEXcoast

            23 Winds

            [25] Ikersquos core wind field was developed by NOAArsquosHurricane Research Division Wind Analysis System(HWIND) To create the wind field data were assimilatedfrom in situ monitoring systems (buoys and wind towers)remote sensing by satellites and active measurement byaircraft [Powell et al 1996 1998 2010] HWIND analy-sis is provided for an 8 8 area centered on the centralposition of the storm HWIND analysis is provided at 3 hintervals starting at 1930 UTC 5 September 2008 until1630 UTC 13 September 2008 HWIND analysis isblended with Gulf scale winds produced by the InteractiveKinematic Objective Analysis (IOKA) system [Cox et al1995 Cardone and Cox 2009] Final wind fields representthe conditions of 30 min sustained wind speeds at a heightof 10 m with marine exposure Gulf-wide winds are appliedat a resolution of 01 with a finer resolution of 0015 near

            Figure 2 The SL18TX33 domain and grid bathymetry (m) of the SL18TX grid Ikersquos track is shownwith the black line for reference

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4429

            the landfall location Final wind fields are provided at 15min intervals starting at 1200 UTC 5 September 2008 until0600 UTC 14 September 2008 It should be mentioned thatthe analyzed high resolution OWI HWINDIOKA datainput into ADCIRC differs slightly from the data thatappears in Berg [2009] resulting in slight discrepanciesbetween modeled winds and reported winds

            [26] ADCIRC reads these marine wind fields and appliesa wind gust factor of 109 to convert the 30 min sustainedwinds to 10 min sustained winds to be consistent with itsair-sea drag formulation as well as a directional wind

            reduction factor representing the reduction in 10 m windspeed as the atmospheric boundary layer evolves due tosurface roughness on land [Bunya et al 2010] ADCIRCapplies a wind drag coefficient that is data-driven windspeed limited and directional [Powell et al 2003 Powell2006 Dietrich et al 2011a]

            24 Vertical Datum Adjustment

            [27] At the initiation of the simulation at 0000 UTC 8August 2008 water levels are increased to correspond to thedatum shift from local mean sea level to NAVD88 updated

            Figure 3 (a) Bathymetrytopography (m) (b) grid size (m) and (c) Manningrsquos n of the SL18TX33grid on the LATEX shelf and coast

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4430

            to the 200465 epoch to account for the intraannual sea sur-face variability driven by effects such as upper layer warm-ing and seasonal riverine discharges and the measured sealevel rise from 2004 to 2008 The sea surface is raised 0134m to adjust computed values to NAVD88 200465 [Garsteret al 2007 Bunya et al 2010] and 0025 m due to sealevel rise from 2004 to 2008 Then 0121 m is added due tothe intraannual variation creating a total adjustment of0134 mthorn 0025 mthorn 0121 mfrac14 0280 m (httptidesand-currentsnoaagovsltrendssltrends shtml)

            25 Bottom Friction

            [28] Hydraulic friction is parameterized in the ADCIRCmodel using a spatially varying Manningrsquos n value [Bunyaet al 2010] These values are applied based on data sup-plied from the following land cover databases LA-GAPMississippi Gap Analysis Program (MS-GAP httpwwwbasicncsuedusegapindexhtml) and the CoastalChange Analysis Program (C-CAP httpwwwcscnoaa-govdigitalcoastdataccapregional) The land classifica-tions have standard Manningrsquos n values associated withthem that are assigned to the nodes via pixel averagingwith values detailed in Dietrich et al [2011a] Offshoreareas with sandygravel bottoms such as the Florida shelfare set to nfrac14 0022 and areas with muddy bottoms like theLATEX shelf are set to nfrac14 0012 [Buczkowski et al2006] The lower LATEX shelf friction is critical to devel-oping fast flows that generate the large forerunner observedduring the storm [Kennedy et al 2011a 2011b] These val-ues are applied at depths gt5 m and they are increased line-arly to nfrac14 0022 toward the shoreline Manningrsquos n valuesfor a portion of the SL18TX33 domain including the LA-TEX shelf and coast are depicted in Figure 3c

            [29] SWAN utilizes a roughness length formulated byMadsen et al [1988] based on Manningrsquos n values used inADCIRC and water depths computed in ADCIRC

            z0 frac14 Hexp 1thorn H1=6

            nffiffiffigp

            where frac14 04 (Von Karman constant) Hfrac14 total waterdepth computed in ADCIRC and gfrac14 gravitational constant[Bretschneider et al 1986] SWAN computes a newroughness length at each time step based on updatedADCIRC water level values To avoid unrealistically smallroughness length values the minimum Manningrsquos n valuepassed to SWAN is nfrac14 002 (minimum n is set to 003 forSTWAVE)

            26 Rivers

            [30] River inflow into the domain occurs at two loca-tions Baton Rouge LA representing the Mississippi Riverand Simmesport LA representing the Atchafalaya RiverBoth locations use a river-wave radiation boundary condi-tion in order to allow tides and storm surge to propagateupstream past these boundaries [Westerink et al 2008Bunya et al 2010] River flow is ramped up from zerousing a hyperbolic ramp function for a period of 05 daysFollowing the ramping period river levels are given 3 daysto reach equilibrium After 35 days river levels at theinflow boundaries are held constant and tidal forcing com-mences with meteorological forcing starting at a later

            specified time River discharges were determined usingdata from the US Army Corps of Engineers New OrleansDistrict (httpwwwmvnusacearmymil) for the periodbetween 5 September 2008 and 15 September 2008 Riverflow rates used were 12210 m3s and 5233 m3s for theMississippi and Atchafalaya Rivers respectively

            27 Tides

            [31] Periodic conditions are applied at the open oceanboundary along the 60W meridian Astronomical tides(K1 O1 Q1 P1 M2 S2 N2 and K2) are forced on the openocean boundary using the TPXO72 tidal atlas [Egbert etal 1994 Egbert and Erofeeva 2002] Nodal factors andequilibrium arguments are computed and applied for thesimulation start time Tides are ramped using a hyperbolictangent function for 12 days to avoid exciting spuriousmodes in the resonant Gulf of Mexico and Caribbean Seabasins reaching full amplitude 25 days before the start ofmeteorological forcing

            3 Recorded Data

            [32] Following Katrina and Rita existing gages werestrengthened to assure data records were produced for theduration of tropical storms Additionally temporary gageswere placed in nearshore areas such as marshes creeks and1ndash5 km offshore to produce a composite understanding ofwave and surge generation evolution and dissipation andprovide a wealth of validation data (Table 3) Each time se-ries was reviewed and assessed for accuracy and reliabilitywith range limited or failed periods of data being removedto assure appropriate comparison to model solutions

            4 Synoptic History and Validation

            [33] The evolution of Hurricane Ike winds waves andsurge fields as simulated by the coupled SWANthornADCIRCmodel and qualitative and quantitative comparisons to datausing the extensive wave and water level data are pre-sented The simulation is started from a cold start on 0000UTC 8 August 2008 with a 35 day riverine spin-up periodallowing river levels to reach equilibrium followed by a 12day tidal spin allowing the tides in the Gulf of Mexico toattain a dynamic equilibrium A 105 day Gustav simula-tion is run from 0000 UTC 26 August 2008 to 1200 UTC 5September 2008 to establish ambient water level conditionsprior to Ike which is simulated over a 10 day period from1200 UTC 5 September 2008 to 1200 UTC 15 September2008 Wind wave water level and current fields through-out the period of 18 h prior to landfall to 12 h after landfallare shown in Figures 4ndash8 Time series and locations ofselect wind wave water level and current stations are pre-sented in Figures 9ndash25

            41 Winds

            [34] Ike crossed the 60oW meridian at 0430 UTC 5 Sep-tember 2008 entering the SL18TX33 domain Before enter-ing the Gulf of Mexico Ike made landfall in eastern andwestern Cuba Upon entering the Gulf at 2030 UTC 9 Sep-tember 2008 Ike moved northwest and grew in size [Berg2009] Tropical storm force winds (10 min sustained surfacewinds of at least 15 m s1) first reached the MississippiRiver Delta in Southern Louisiana at 1500 UTC 11

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4431

            September 2008 40 h before landfall and persisted for morethan 36 h Winds over the Mississippi Breton and Chande-leur Sounds were consistently easterly and southeasterly anddirected toward the protruding Mississippi River Delta sig-nificantly impacting surge development in the regionAccording to OWI HWINDIOKA reanalysis Ike reached

            its peak wind speed of 41 m s1 in the Gulf of Mexico at0430 UTC 12 September 2008 At this point Ikersquos tropicalstorm force and stronger winds produced an integrated ki-netic energy of 154 TJ corresponding to a 54 out of a possi-ble 6 on the Surge Destructive Potential Scale [Powell andReinhold 2007] with tropical storm force winds and

            Figure 4 Wind speeds m s1 on the LATEX shelf and coast during Ike Vectors representing windspeed and direction are displayed Plots represent the following times (a) 1300 UTC 12 September2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before land-fall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4432

            hurricane force winds extended out 400 km and 140 kmrespectively from the center of the hurricane After slightlyweakening later on 12 September 2008 Ike would againreach a peak wind speed of 41 m s1 before and at landfallat Galveston TX at 0700 UTC 13 September 2008

            [35] During the period from 1300 UTC 12 September2008 18 h prior to landfall until 0100 UTC 13 September2008 6 h prior to landfall much of the LATEX shelf andcoast experienced shore-parallel winds as a result of thelarge size of the storm and large-scale circular coastal ge-ography of the region Figures 4andash4c Winds shifted slowly

            as the storm progressed and areas in the immediate vicinityof landfall such as Galveston Island and the Bolivar Penin-sula did not experience a shift in wind direction until im-mediately before the stormrsquos center had made landfall Atlandfall (Figure 4d) Ikersquos maximum wind speed was 41 ms1 occurring at the coast of the Bolivar Peninsula As Ikeapproached the coast and made landfall winds transitionedto shore-normal orientation blowing onshore northeast oflandfall and offshore southwest of landfall The stormtracked through the east side of Galveston Bay which atlandfall was already filled with more than 2 m of additional

            Figure 4 (continued)

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4433

            water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

            [36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

            tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

            [37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

            Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4434

            velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

            short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

            Figure 5 (continued)

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4435

            drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

            nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

            42 Waves

            [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

            Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4436

            winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

            deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

            [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

            Figure 6 (continued)

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4437

            lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

            [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

            Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4438

            heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

            [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

            and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

            Figure 7 (continued)

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4439

            water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

            s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

            Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4440

            on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

            [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

            nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

            Figure 8 (continued)

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4441

            dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

            [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

            [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

            coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

            [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

            Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

            Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4442

            Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

            Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4443

            SI frac14

            ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

            XN

            ifrac141Ei E 2

            q1N

            XN

            ifrac141jOij

            and normalized bias

            bias frac141N

            XN

            ifrac141Ei

            1N

            XN

            ifrac141jOij

            where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

            Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4444

            directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

            [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

            cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

            Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4445

            stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

            the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

            Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4446

            parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

            modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

            43 Surge and Currents

            [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

            Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

            4447

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

            [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

            NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

            Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4448

            associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

            [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

            current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

            allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

            [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

            the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

            Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4449

            occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

            [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

            and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

            [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

            Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4450

            recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

            [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

            driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

            L frac14 TffiffiffiffiffiffiffigHp

            4

            where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

            Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4451

            [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

            marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

            Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4452

            and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

            [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

            [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

            PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

            Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4453

            currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

            [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

            [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

            [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

            Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

            Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4454

            elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

            [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

            [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

            overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

            Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

            Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

            Data Source Model

            Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

            NumberofData Sets SI Bias

            Number ofData Sets SI Bias

            Number ofData Sets SI Bias

            Number ofData Sets SI Bias

            NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

            WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

            CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

            USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

            AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4455

            [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

            5 Conclusions

            [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

            Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

            Data SourceGeographicLocation Model

            Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

            Number ofData Sets SI Bias

            Number ofData Sets SI Bias

            Number ofData Sets SI Bias

            Number ofData Sets SI Bias

            NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

            CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

            USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

            AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

            Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

            Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

            Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

            All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

            aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

            bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

            Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4456

            peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

            waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

            [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

            [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

            Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

            Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4457

            role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

            [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

            [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

            [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

            modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

            [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

            ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

            model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

            Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

            Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

            Data SourceNumber of Timeseries Data Sets SI Bias

            ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

            Errors

            Number ofHWMs Slope R2

            Avg AbsDiff

            StdDev

            Avg AbsDiff

            StdDev

            Avg AbsDiff Std Dev

            AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

            aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4458

            Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

            Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

            Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

            Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

            Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

            Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

            Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

            Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

            Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

            Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

            Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

            Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

            Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

            Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

            Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

            Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

            East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

            Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

            Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

            FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

            FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

            Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

            tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

            Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

            Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

            Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

            Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

            Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

            Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

            Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

            Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

            Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

            Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

            Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

            Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

            Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

            Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

            Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

            Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

            Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

            Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

            Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

            Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

            Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4459

            Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

            Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

            Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

            Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

            Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

            Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

            Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

            Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

            4460

            • l
            • l
            • l
            • l

              the landfall location Final wind fields are provided at 15min intervals starting at 1200 UTC 5 September 2008 until0600 UTC 14 September 2008 It should be mentioned thatthe analyzed high resolution OWI HWINDIOKA datainput into ADCIRC differs slightly from the data thatappears in Berg [2009] resulting in slight discrepanciesbetween modeled winds and reported winds

              [26] ADCIRC reads these marine wind fields and appliesa wind gust factor of 109 to convert the 30 min sustainedwinds to 10 min sustained winds to be consistent with itsair-sea drag formulation as well as a directional wind

              reduction factor representing the reduction in 10 m windspeed as the atmospheric boundary layer evolves due tosurface roughness on land [Bunya et al 2010] ADCIRCapplies a wind drag coefficient that is data-driven windspeed limited and directional [Powell et al 2003 Powell2006 Dietrich et al 2011a]

              24 Vertical Datum Adjustment

              [27] At the initiation of the simulation at 0000 UTC 8August 2008 water levels are increased to correspond to thedatum shift from local mean sea level to NAVD88 updated

              Figure 3 (a) Bathymetrytopography (m) (b) grid size (m) and (c) Manningrsquos n of the SL18TX33grid on the LATEX shelf and coast

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4430

              to the 200465 epoch to account for the intraannual sea sur-face variability driven by effects such as upper layer warm-ing and seasonal riverine discharges and the measured sealevel rise from 2004 to 2008 The sea surface is raised 0134m to adjust computed values to NAVD88 200465 [Garsteret al 2007 Bunya et al 2010] and 0025 m due to sealevel rise from 2004 to 2008 Then 0121 m is added due tothe intraannual variation creating a total adjustment of0134 mthorn 0025 mthorn 0121 mfrac14 0280 m (httptidesand-currentsnoaagovsltrendssltrends shtml)

              25 Bottom Friction

              [28] Hydraulic friction is parameterized in the ADCIRCmodel using a spatially varying Manningrsquos n value [Bunyaet al 2010] These values are applied based on data sup-plied from the following land cover databases LA-GAPMississippi Gap Analysis Program (MS-GAP httpwwwbasicncsuedusegapindexhtml) and the CoastalChange Analysis Program (C-CAP httpwwwcscnoaa-govdigitalcoastdataccapregional) The land classifica-tions have standard Manningrsquos n values associated withthem that are assigned to the nodes via pixel averagingwith values detailed in Dietrich et al [2011a] Offshoreareas with sandygravel bottoms such as the Florida shelfare set to nfrac14 0022 and areas with muddy bottoms like theLATEX shelf are set to nfrac14 0012 [Buczkowski et al2006] The lower LATEX shelf friction is critical to devel-oping fast flows that generate the large forerunner observedduring the storm [Kennedy et al 2011a 2011b] These val-ues are applied at depths gt5 m and they are increased line-arly to nfrac14 0022 toward the shoreline Manningrsquos n valuesfor a portion of the SL18TX33 domain including the LA-TEX shelf and coast are depicted in Figure 3c

              [29] SWAN utilizes a roughness length formulated byMadsen et al [1988] based on Manningrsquos n values used inADCIRC and water depths computed in ADCIRC

              z0 frac14 Hexp 1thorn H1=6

              nffiffiffigp

              where frac14 04 (Von Karman constant) Hfrac14 total waterdepth computed in ADCIRC and gfrac14 gravitational constant[Bretschneider et al 1986] SWAN computes a newroughness length at each time step based on updatedADCIRC water level values To avoid unrealistically smallroughness length values the minimum Manningrsquos n valuepassed to SWAN is nfrac14 002 (minimum n is set to 003 forSTWAVE)

              26 Rivers

              [30] River inflow into the domain occurs at two loca-tions Baton Rouge LA representing the Mississippi Riverand Simmesport LA representing the Atchafalaya RiverBoth locations use a river-wave radiation boundary condi-tion in order to allow tides and storm surge to propagateupstream past these boundaries [Westerink et al 2008Bunya et al 2010] River flow is ramped up from zerousing a hyperbolic ramp function for a period of 05 daysFollowing the ramping period river levels are given 3 daysto reach equilibrium After 35 days river levels at theinflow boundaries are held constant and tidal forcing com-mences with meteorological forcing starting at a later

              specified time River discharges were determined usingdata from the US Army Corps of Engineers New OrleansDistrict (httpwwwmvnusacearmymil) for the periodbetween 5 September 2008 and 15 September 2008 Riverflow rates used were 12210 m3s and 5233 m3s for theMississippi and Atchafalaya Rivers respectively

              27 Tides

              [31] Periodic conditions are applied at the open oceanboundary along the 60W meridian Astronomical tides(K1 O1 Q1 P1 M2 S2 N2 and K2) are forced on the openocean boundary using the TPXO72 tidal atlas [Egbert etal 1994 Egbert and Erofeeva 2002] Nodal factors andequilibrium arguments are computed and applied for thesimulation start time Tides are ramped using a hyperbolictangent function for 12 days to avoid exciting spuriousmodes in the resonant Gulf of Mexico and Caribbean Seabasins reaching full amplitude 25 days before the start ofmeteorological forcing

              3 Recorded Data

              [32] Following Katrina and Rita existing gages werestrengthened to assure data records were produced for theduration of tropical storms Additionally temporary gageswere placed in nearshore areas such as marshes creeks and1ndash5 km offshore to produce a composite understanding ofwave and surge generation evolution and dissipation andprovide a wealth of validation data (Table 3) Each time se-ries was reviewed and assessed for accuracy and reliabilitywith range limited or failed periods of data being removedto assure appropriate comparison to model solutions

              4 Synoptic History and Validation

              [33] The evolution of Hurricane Ike winds waves andsurge fields as simulated by the coupled SWANthornADCIRCmodel and qualitative and quantitative comparisons to datausing the extensive wave and water level data are pre-sented The simulation is started from a cold start on 0000UTC 8 August 2008 with a 35 day riverine spin-up periodallowing river levels to reach equilibrium followed by a 12day tidal spin allowing the tides in the Gulf of Mexico toattain a dynamic equilibrium A 105 day Gustav simula-tion is run from 0000 UTC 26 August 2008 to 1200 UTC 5September 2008 to establish ambient water level conditionsprior to Ike which is simulated over a 10 day period from1200 UTC 5 September 2008 to 1200 UTC 15 September2008 Wind wave water level and current fields through-out the period of 18 h prior to landfall to 12 h after landfallare shown in Figures 4ndash8 Time series and locations ofselect wind wave water level and current stations are pre-sented in Figures 9ndash25

              41 Winds

              [34] Ike crossed the 60oW meridian at 0430 UTC 5 Sep-tember 2008 entering the SL18TX33 domain Before enter-ing the Gulf of Mexico Ike made landfall in eastern andwestern Cuba Upon entering the Gulf at 2030 UTC 9 Sep-tember 2008 Ike moved northwest and grew in size [Berg2009] Tropical storm force winds (10 min sustained surfacewinds of at least 15 m s1) first reached the MississippiRiver Delta in Southern Louisiana at 1500 UTC 11

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4431

              September 2008 40 h before landfall and persisted for morethan 36 h Winds over the Mississippi Breton and Chande-leur Sounds were consistently easterly and southeasterly anddirected toward the protruding Mississippi River Delta sig-nificantly impacting surge development in the regionAccording to OWI HWINDIOKA reanalysis Ike reached

              its peak wind speed of 41 m s1 in the Gulf of Mexico at0430 UTC 12 September 2008 At this point Ikersquos tropicalstorm force and stronger winds produced an integrated ki-netic energy of 154 TJ corresponding to a 54 out of a possi-ble 6 on the Surge Destructive Potential Scale [Powell andReinhold 2007] with tropical storm force winds and

              Figure 4 Wind speeds m s1 on the LATEX shelf and coast during Ike Vectors representing windspeed and direction are displayed Plots represent the following times (a) 1300 UTC 12 September2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before land-fall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4432

              hurricane force winds extended out 400 km and 140 kmrespectively from the center of the hurricane After slightlyweakening later on 12 September 2008 Ike would againreach a peak wind speed of 41 m s1 before and at landfallat Galveston TX at 0700 UTC 13 September 2008

              [35] During the period from 1300 UTC 12 September2008 18 h prior to landfall until 0100 UTC 13 September2008 6 h prior to landfall much of the LATEX shelf andcoast experienced shore-parallel winds as a result of thelarge size of the storm and large-scale circular coastal ge-ography of the region Figures 4andash4c Winds shifted slowly

              as the storm progressed and areas in the immediate vicinityof landfall such as Galveston Island and the Bolivar Penin-sula did not experience a shift in wind direction until im-mediately before the stormrsquos center had made landfall Atlandfall (Figure 4d) Ikersquos maximum wind speed was 41 ms1 occurring at the coast of the Bolivar Peninsula As Ikeapproached the coast and made landfall winds transitionedto shore-normal orientation blowing onshore northeast oflandfall and offshore southwest of landfall The stormtracked through the east side of Galveston Bay which atlandfall was already filled with more than 2 m of additional

              Figure 4 (continued)

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4433

              water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

              [36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

              tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

              [37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

              Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4434

              velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

              short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

              Figure 5 (continued)

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4435

              drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

              nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

              42 Waves

              [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

              Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4436

              winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

              deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

              [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

              Figure 6 (continued)

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4437

              lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

              [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

              Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4438

              heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

              [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

              and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

              Figure 7 (continued)

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4439

              water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

              s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

              Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4440

              on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

              [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

              nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

              Figure 8 (continued)

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4441

              dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

              [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

              [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

              coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

              [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

              Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

              Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4442

              Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

              Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4443

              SI frac14

              ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

              XN

              ifrac141Ei E 2

              q1N

              XN

              ifrac141jOij

              and normalized bias

              bias frac141N

              XN

              ifrac141Ei

              1N

              XN

              ifrac141jOij

              where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

              Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4444

              directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

              [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

              cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

              Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4445

              stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

              the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

              Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4446

              parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

              modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

              43 Surge and Currents

              [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

              Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

              4447

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

              [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

              NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

              Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4448

              associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

              [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

              current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

              allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

              [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

              the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

              Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4449

              occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

              [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

              and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

              [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

              Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4450

              recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

              [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

              driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

              L frac14 TffiffiffiffiffiffiffigHp

              4

              where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

              Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4451

              [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

              marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

              Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4452

              and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

              [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

              [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

              PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

              Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4453

              currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

              [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

              [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

              [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

              Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

              Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4454

              elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

              [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

              [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

              overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

              Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

              Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

              Data Source Model

              Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

              NumberofData Sets SI Bias

              Number ofData Sets SI Bias

              Number ofData Sets SI Bias

              Number ofData Sets SI Bias

              NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

              WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

              CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

              USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

              AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4455

              [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

              5 Conclusions

              [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

              Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

              Data SourceGeographicLocation Model

              Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

              Number ofData Sets SI Bias

              Number ofData Sets SI Bias

              Number ofData Sets SI Bias

              Number ofData Sets SI Bias

              NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

              CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

              USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

              AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

              Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

              Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

              Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

              All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

              aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

              bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

              Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4456

              peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

              waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

              [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

              [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

              Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

              Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4457

              role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

              [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

              [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

              [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

              modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

              [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

              ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

              model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

              Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

              Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

              Data SourceNumber of Timeseries Data Sets SI Bias

              ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

              Errors

              Number ofHWMs Slope R2

              Avg AbsDiff

              StdDev

              Avg AbsDiff

              StdDev

              Avg AbsDiff Std Dev

              AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

              aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4458

              Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

              Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

              Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

              Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

              Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

              Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

              Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

              Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

              Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

              Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

              Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

              Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

              Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

              Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

              Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

              Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

              East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

              Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

              Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

              FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

              FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

              Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

              tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

              Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

              Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

              Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

              Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

              Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

              Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

              Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

              Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

              Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

              Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

              Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

              Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

              Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

              Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

              Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

              Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

              Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

              Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

              Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

              Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

              Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4459

              Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

              Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

              Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

              Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

              Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

              Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

              Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

              Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

              4460

              • l
              • l
              • l
              • l

                to the 200465 epoch to account for the intraannual sea sur-face variability driven by effects such as upper layer warm-ing and seasonal riverine discharges and the measured sealevel rise from 2004 to 2008 The sea surface is raised 0134m to adjust computed values to NAVD88 200465 [Garsteret al 2007 Bunya et al 2010] and 0025 m due to sealevel rise from 2004 to 2008 Then 0121 m is added due tothe intraannual variation creating a total adjustment of0134 mthorn 0025 mthorn 0121 mfrac14 0280 m (httptidesand-currentsnoaagovsltrendssltrends shtml)

                25 Bottom Friction

                [28] Hydraulic friction is parameterized in the ADCIRCmodel using a spatially varying Manningrsquos n value [Bunyaet al 2010] These values are applied based on data sup-plied from the following land cover databases LA-GAPMississippi Gap Analysis Program (MS-GAP httpwwwbasicncsuedusegapindexhtml) and the CoastalChange Analysis Program (C-CAP httpwwwcscnoaa-govdigitalcoastdataccapregional) The land classifica-tions have standard Manningrsquos n values associated withthem that are assigned to the nodes via pixel averagingwith values detailed in Dietrich et al [2011a] Offshoreareas with sandygravel bottoms such as the Florida shelfare set to nfrac14 0022 and areas with muddy bottoms like theLATEX shelf are set to nfrac14 0012 [Buczkowski et al2006] The lower LATEX shelf friction is critical to devel-oping fast flows that generate the large forerunner observedduring the storm [Kennedy et al 2011a 2011b] These val-ues are applied at depths gt5 m and they are increased line-arly to nfrac14 0022 toward the shoreline Manningrsquos n valuesfor a portion of the SL18TX33 domain including the LA-TEX shelf and coast are depicted in Figure 3c

                [29] SWAN utilizes a roughness length formulated byMadsen et al [1988] based on Manningrsquos n values used inADCIRC and water depths computed in ADCIRC

                z0 frac14 Hexp 1thorn H1=6

                nffiffiffigp

                where frac14 04 (Von Karman constant) Hfrac14 total waterdepth computed in ADCIRC and gfrac14 gravitational constant[Bretschneider et al 1986] SWAN computes a newroughness length at each time step based on updatedADCIRC water level values To avoid unrealistically smallroughness length values the minimum Manningrsquos n valuepassed to SWAN is nfrac14 002 (minimum n is set to 003 forSTWAVE)

                26 Rivers

                [30] River inflow into the domain occurs at two loca-tions Baton Rouge LA representing the Mississippi Riverand Simmesport LA representing the Atchafalaya RiverBoth locations use a river-wave radiation boundary condi-tion in order to allow tides and storm surge to propagateupstream past these boundaries [Westerink et al 2008Bunya et al 2010] River flow is ramped up from zerousing a hyperbolic ramp function for a period of 05 daysFollowing the ramping period river levels are given 3 daysto reach equilibrium After 35 days river levels at theinflow boundaries are held constant and tidal forcing com-mences with meteorological forcing starting at a later

                specified time River discharges were determined usingdata from the US Army Corps of Engineers New OrleansDistrict (httpwwwmvnusacearmymil) for the periodbetween 5 September 2008 and 15 September 2008 Riverflow rates used were 12210 m3s and 5233 m3s for theMississippi and Atchafalaya Rivers respectively

                27 Tides

                [31] Periodic conditions are applied at the open oceanboundary along the 60W meridian Astronomical tides(K1 O1 Q1 P1 M2 S2 N2 and K2) are forced on the openocean boundary using the TPXO72 tidal atlas [Egbert etal 1994 Egbert and Erofeeva 2002] Nodal factors andequilibrium arguments are computed and applied for thesimulation start time Tides are ramped using a hyperbolictangent function for 12 days to avoid exciting spuriousmodes in the resonant Gulf of Mexico and Caribbean Seabasins reaching full amplitude 25 days before the start ofmeteorological forcing

                3 Recorded Data

                [32] Following Katrina and Rita existing gages werestrengthened to assure data records were produced for theduration of tropical storms Additionally temporary gageswere placed in nearshore areas such as marshes creeks and1ndash5 km offshore to produce a composite understanding ofwave and surge generation evolution and dissipation andprovide a wealth of validation data (Table 3) Each time se-ries was reviewed and assessed for accuracy and reliabilitywith range limited or failed periods of data being removedto assure appropriate comparison to model solutions

                4 Synoptic History and Validation

                [33] The evolution of Hurricane Ike winds waves andsurge fields as simulated by the coupled SWANthornADCIRCmodel and qualitative and quantitative comparisons to datausing the extensive wave and water level data are pre-sented The simulation is started from a cold start on 0000UTC 8 August 2008 with a 35 day riverine spin-up periodallowing river levels to reach equilibrium followed by a 12day tidal spin allowing the tides in the Gulf of Mexico toattain a dynamic equilibrium A 105 day Gustav simula-tion is run from 0000 UTC 26 August 2008 to 1200 UTC 5September 2008 to establish ambient water level conditionsprior to Ike which is simulated over a 10 day period from1200 UTC 5 September 2008 to 1200 UTC 15 September2008 Wind wave water level and current fields through-out the period of 18 h prior to landfall to 12 h after landfallare shown in Figures 4ndash8 Time series and locations ofselect wind wave water level and current stations are pre-sented in Figures 9ndash25

                41 Winds

                [34] Ike crossed the 60oW meridian at 0430 UTC 5 Sep-tember 2008 entering the SL18TX33 domain Before enter-ing the Gulf of Mexico Ike made landfall in eastern andwestern Cuba Upon entering the Gulf at 2030 UTC 9 Sep-tember 2008 Ike moved northwest and grew in size [Berg2009] Tropical storm force winds (10 min sustained surfacewinds of at least 15 m s1) first reached the MississippiRiver Delta in Southern Louisiana at 1500 UTC 11

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4431

                September 2008 40 h before landfall and persisted for morethan 36 h Winds over the Mississippi Breton and Chande-leur Sounds were consistently easterly and southeasterly anddirected toward the protruding Mississippi River Delta sig-nificantly impacting surge development in the regionAccording to OWI HWINDIOKA reanalysis Ike reached

                its peak wind speed of 41 m s1 in the Gulf of Mexico at0430 UTC 12 September 2008 At this point Ikersquos tropicalstorm force and stronger winds produced an integrated ki-netic energy of 154 TJ corresponding to a 54 out of a possi-ble 6 on the Surge Destructive Potential Scale [Powell andReinhold 2007] with tropical storm force winds and

                Figure 4 Wind speeds m s1 on the LATEX shelf and coast during Ike Vectors representing windspeed and direction are displayed Plots represent the following times (a) 1300 UTC 12 September2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before land-fall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4432

                hurricane force winds extended out 400 km and 140 kmrespectively from the center of the hurricane After slightlyweakening later on 12 September 2008 Ike would againreach a peak wind speed of 41 m s1 before and at landfallat Galveston TX at 0700 UTC 13 September 2008

                [35] During the period from 1300 UTC 12 September2008 18 h prior to landfall until 0100 UTC 13 September2008 6 h prior to landfall much of the LATEX shelf andcoast experienced shore-parallel winds as a result of thelarge size of the storm and large-scale circular coastal ge-ography of the region Figures 4andash4c Winds shifted slowly

                as the storm progressed and areas in the immediate vicinityof landfall such as Galveston Island and the Bolivar Penin-sula did not experience a shift in wind direction until im-mediately before the stormrsquos center had made landfall Atlandfall (Figure 4d) Ikersquos maximum wind speed was 41 ms1 occurring at the coast of the Bolivar Peninsula As Ikeapproached the coast and made landfall winds transitionedto shore-normal orientation blowing onshore northeast oflandfall and offshore southwest of landfall The stormtracked through the east side of Galveston Bay which atlandfall was already filled with more than 2 m of additional

                Figure 4 (continued)

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4433

                water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

                [36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

                tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

                [37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

                Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4434

                velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

                short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

                Figure 5 (continued)

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4435

                drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

                nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

                42 Waves

                [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

                Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4436

                winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

                deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

                [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

                Figure 6 (continued)

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4437

                lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

                [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

                Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4438

                heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

                [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

                and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

                Figure 7 (continued)

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4439

                water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

                s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

                Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4440

                on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                Figure 8 (continued)

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4441

                dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4442

                Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4443

                SI frac14

                ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                XN

                ifrac141Ei E 2

                q1N

                XN

                ifrac141jOij

                and normalized bias

                bias frac141N

                XN

                ifrac141Ei

                1N

                XN

                ifrac141jOij

                where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4444

                directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4445

                stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4446

                parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                43 Surge and Currents

                [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                4447

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4448

                associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4449

                occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4450

                recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                L frac14 TffiffiffiffiffiffiffigHp

                4

                where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4451

                [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4452

                and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4453

                currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4454

                elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                Data Source Model

                Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                NumberofData Sets SI Bias

                Number ofData Sets SI Bias

                Number ofData Sets SI Bias

                Number ofData Sets SI Bias

                NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4455

                [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                5 Conclusions

                [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                Data SourceGeographicLocation Model

                Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                Number ofData Sets SI Bias

                Number ofData Sets SI Bias

                Number ofData Sets SI Bias

                Number ofData Sets SI Bias

                NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4456

                peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4457

                role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                Data SourceNumber of Timeseries Data Sets SI Bias

                ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                Errors

                Number ofHWMs Slope R2

                Avg AbsDiff

                StdDev

                Avg AbsDiff

                StdDev

                Avg AbsDiff Std Dev

                AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4458

                Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4459

                Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                4460

                • l
                • l
                • l
                • l

                  September 2008 40 h before landfall and persisted for morethan 36 h Winds over the Mississippi Breton and Chande-leur Sounds were consistently easterly and southeasterly anddirected toward the protruding Mississippi River Delta sig-nificantly impacting surge development in the regionAccording to OWI HWINDIOKA reanalysis Ike reached

                  its peak wind speed of 41 m s1 in the Gulf of Mexico at0430 UTC 12 September 2008 At this point Ikersquos tropicalstorm force and stronger winds produced an integrated ki-netic energy of 154 TJ corresponding to a 54 out of a possi-ble 6 on the Surge Destructive Potential Scale [Powell andReinhold 2007] with tropical storm force winds and

                  Figure 4 Wind speeds m s1 on the LATEX shelf and coast during Ike Vectors representing windspeed and direction are displayed Plots represent the following times (a) 1300 UTC 12 September2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before land-fall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4432

                  hurricane force winds extended out 400 km and 140 kmrespectively from the center of the hurricane After slightlyweakening later on 12 September 2008 Ike would againreach a peak wind speed of 41 m s1 before and at landfallat Galveston TX at 0700 UTC 13 September 2008

                  [35] During the period from 1300 UTC 12 September2008 18 h prior to landfall until 0100 UTC 13 September2008 6 h prior to landfall much of the LATEX shelf andcoast experienced shore-parallel winds as a result of thelarge size of the storm and large-scale circular coastal ge-ography of the region Figures 4andash4c Winds shifted slowly

                  as the storm progressed and areas in the immediate vicinityof landfall such as Galveston Island and the Bolivar Penin-sula did not experience a shift in wind direction until im-mediately before the stormrsquos center had made landfall Atlandfall (Figure 4d) Ikersquos maximum wind speed was 41 ms1 occurring at the coast of the Bolivar Peninsula As Ikeapproached the coast and made landfall winds transitionedto shore-normal orientation blowing onshore northeast oflandfall and offshore southwest of landfall The stormtracked through the east side of Galveston Bay which atlandfall was already filled with more than 2 m of additional

                  Figure 4 (continued)

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4433

                  water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

                  [36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

                  tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

                  [37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

                  Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4434

                  velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

                  short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

                  Figure 5 (continued)

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4435

                  drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

                  nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

                  42 Waves

                  [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

                  Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4436

                  winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

                  deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

                  [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

                  Figure 6 (continued)

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4437

                  lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

                  [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

                  Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4438

                  heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

                  [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

                  and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

                  Figure 7 (continued)

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4439

                  water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

                  s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

                  Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4440

                  on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                  [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                  nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                  Figure 8 (continued)

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4441

                  dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                  [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                  [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                  coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                  [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                  Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                  Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4442

                  Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                  Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4443

                  SI frac14

                  ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                  XN

                  ifrac141Ei E 2

                  q1N

                  XN

                  ifrac141jOij

                  and normalized bias

                  bias frac141N

                  XN

                  ifrac141Ei

                  1N

                  XN

                  ifrac141jOij

                  where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                  Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4444

                  directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                  [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                  cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                  Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4445

                  stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                  the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                  Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4446

                  parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                  modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                  43 Surge and Currents

                  [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                  Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                  4447

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                  [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                  NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                  Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4448

                  associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                  [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                  current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                  allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                  [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                  the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                  Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4449

                  occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                  [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                  and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                  [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                  Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4450

                  recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                  [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                  driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                  L frac14 TffiffiffiffiffiffiffigHp

                  4

                  where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                  Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4451

                  [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                  marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                  Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4452

                  and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                  [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                  [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                  PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                  Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4453

                  currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                  [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                  [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                  [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                  Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                  Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4454

                  elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                  [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                  [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                  overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                  Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                  Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                  Data Source Model

                  Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                  NumberofData Sets SI Bias

                  Number ofData Sets SI Bias

                  Number ofData Sets SI Bias

                  Number ofData Sets SI Bias

                  NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                  WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                  CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                  USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                  AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4455

                  [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                  5 Conclusions

                  [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                  Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                  Data SourceGeographicLocation Model

                  Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                  Number ofData Sets SI Bias

                  Number ofData Sets SI Bias

                  Number ofData Sets SI Bias

                  Number ofData Sets SI Bias

                  NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                  CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                  USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                  AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                  Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                  Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                  Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                  All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                  aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                  bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                  Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4456

                  peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                  waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                  [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                  [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                  Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                  Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4457

                  role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                  [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                  [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                  [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                  modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                  [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                  ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                  model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                  Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                  Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                  Data SourceNumber of Timeseries Data Sets SI Bias

                  ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                  Errors

                  Number ofHWMs Slope R2

                  Avg AbsDiff

                  StdDev

                  Avg AbsDiff

                  StdDev

                  Avg AbsDiff Std Dev

                  AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                  aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4458

                  Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                  Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                  Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                  Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                  Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                  Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                  Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                  Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                  Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                  Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                  Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                  Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                  Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                  Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                  Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                  Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                  East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                  Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                  Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                  FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                  FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                  Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                  tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                  Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                  Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                  Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                  Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                  Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                  Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                  Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                  Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                  Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                  Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                  Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                  Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                  Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                  Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                  Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                  Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                  Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                  Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                  Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                  Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                  Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4459

                  Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                  Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                  Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                  Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                  Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                  Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                  Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                  Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                  4460

                  • l
                  • l
                  • l
                  • l

                    hurricane force winds extended out 400 km and 140 kmrespectively from the center of the hurricane After slightlyweakening later on 12 September 2008 Ike would againreach a peak wind speed of 41 m s1 before and at landfallat Galveston TX at 0700 UTC 13 September 2008

                    [35] During the period from 1300 UTC 12 September2008 18 h prior to landfall until 0100 UTC 13 September2008 6 h prior to landfall much of the LATEX shelf andcoast experienced shore-parallel winds as a result of thelarge size of the storm and large-scale circular coastal ge-ography of the region Figures 4andash4c Winds shifted slowly

                    as the storm progressed and areas in the immediate vicinityof landfall such as Galveston Island and the Bolivar Penin-sula did not experience a shift in wind direction until im-mediately before the stormrsquos center had made landfall Atlandfall (Figure 4d) Ikersquos maximum wind speed was 41 ms1 occurring at the coast of the Bolivar Peninsula As Ikeapproached the coast and made landfall winds transitionedto shore-normal orientation blowing onshore northeast oflandfall and offshore southwest of landfall The stormtracked through the east side of Galveston Bay which atlandfall was already filled with more than 2 m of additional

                    Figure 4 (continued)

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4433

                    water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

                    [36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

                    tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

                    [37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

                    Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4434

                    velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

                    short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

                    Figure 5 (continued)

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4435

                    drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

                    nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

                    42 Waves

                    [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

                    Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4436

                    winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

                    deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

                    [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

                    Figure 6 (continued)

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4437

                    lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

                    [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

                    Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4438

                    heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

                    [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

                    and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

                    Figure 7 (continued)

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4439

                    water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

                    s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

                    Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4440

                    on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                    [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                    nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                    Figure 8 (continued)

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4441

                    dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                    [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                    [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                    coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                    [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                    Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                    Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4442

                    Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                    Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4443

                    SI frac14

                    ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                    XN

                    ifrac141Ei E 2

                    q1N

                    XN

                    ifrac141jOij

                    and normalized bias

                    bias frac141N

                    XN

                    ifrac141Ei

                    1N

                    XN

                    ifrac141jOij

                    where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                    Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4444

                    directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                    [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                    cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                    Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4445

                    stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                    the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                    Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4446

                    parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                    modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                    43 Surge and Currents

                    [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                    Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                    4447

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                    [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                    NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                    Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4448

                    associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                    [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                    current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                    allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                    [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                    the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                    Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4449

                    occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                    [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                    and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                    [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                    Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4450

                    recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                    [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                    driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                    L frac14 TffiffiffiffiffiffiffigHp

                    4

                    where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                    Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4451

                    [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                    marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                    Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4452

                    and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                    [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                    [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                    PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                    Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4453

                    currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                    [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                    [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                    [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                    Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                    Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4454

                    elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                    [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                    [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                    overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                    Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                    Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                    Data Source Model

                    Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                    NumberofData Sets SI Bias

                    Number ofData Sets SI Bias

                    Number ofData Sets SI Bias

                    Number ofData Sets SI Bias

                    NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                    WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                    CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                    USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                    AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4455

                    [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                    5 Conclusions

                    [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                    Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                    Data SourceGeographicLocation Model

                    Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                    Number ofData Sets SI Bias

                    Number ofData Sets SI Bias

                    Number ofData Sets SI Bias

                    Number ofData Sets SI Bias

                    NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                    CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                    USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                    AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                    Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                    Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                    Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                    All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                    aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                    bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                    Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4456

                    peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                    waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                    [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                    [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                    Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                    Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4457

                    role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                    [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                    [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                    [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                    modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                    [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                    ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                    model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                    Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                    Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                    Data SourceNumber of Timeseries Data Sets SI Bias

                    ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                    Errors

                    Number ofHWMs Slope R2

                    Avg AbsDiff

                    StdDev

                    Avg AbsDiff

                    StdDev

                    Avg AbsDiff Std Dev

                    AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                    aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4458

                    Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                    Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                    Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                    Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                    Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                    Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                    Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                    Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                    Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                    Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                    Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                    Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                    Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                    Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                    Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                    Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                    East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                    Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                    Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                    FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                    FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                    Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                    tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                    Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                    Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                    Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                    Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                    Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                    Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                    Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                    Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                    Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                    Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                    Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                    Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                    Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                    Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                    Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                    Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                    Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                    Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                    Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                    Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                    Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4459

                    Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                    Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                    Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                    Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                    Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                    Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                    Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                    Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                    4460

                    • l
                    • l
                    • l
                    • l

                      water caused by the forerunner surge and was impacted bynear-maximum-strength winds before landfall and 30 ms1 winds immediately after landfall

                      [36] Following landfall winds over Galveston Bay and inthe area of landfall remained oriented onshore Six hours af-ter landfall winds over Galveston Bay were 20 m s1 still

                      tropical storm force (Figure 4e) These persistent onshorewinds impeded the recession of water out of Galveston Bayand the marshes to the northeast of Bolivar Peninsula wheremaximum recorded water levels during Ike occurred

                      [37] Figure 9 shows the locations of six observation sta-tions on the LATEX shelf and onshore that recorded wind

                      Figure 5 SWAN significant wave heights (m) on the LATEX shelf and coast during Ike Vectors rep-resenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 hbefore landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4434

                      velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

                      short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

                      Figure 5 (continued)

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4435

                      drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

                      nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

                      42 Waves

                      [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

                      Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4436

                      winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

                      deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

                      [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

                      Figure 6 (continued)

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4437

                      lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

                      [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

                      Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4438

                      heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

                      [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

                      and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

                      Figure 7 (continued)

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4439

                      water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

                      s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

                      Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4440

                      on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                      [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                      nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                      Figure 8 (continued)

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4441

                      dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                      [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                      [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                      coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                      [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                      Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                      Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4442

                      Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                      Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4443

                      SI frac14

                      ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                      XN

                      ifrac141Ei E 2

                      q1N

                      XN

                      ifrac141jOij

                      and normalized bias

                      bias frac141N

                      XN

                      ifrac141Ei

                      1N

                      XN

                      ifrac141jOij

                      where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                      Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4444

                      directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                      [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                      cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                      Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4445

                      stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                      the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                      Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4446

                      parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                      modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                      43 Surge and Currents

                      [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                      Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                      4447

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                      [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                      NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                      Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4448

                      associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                      [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                      current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                      allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                      [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                      the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                      Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4449

                      occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                      [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                      and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                      [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                      Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4450

                      recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                      [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                      driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                      L frac14 TffiffiffiffiffiffiffigHp

                      4

                      where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                      Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4451

                      [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                      marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                      Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4452

                      and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                      [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                      [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                      PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                      Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4453

                      currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                      [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                      [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                      [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                      Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                      Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4454

                      elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                      [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                      [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                      overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                      Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                      Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                      Data Source Model

                      Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                      NumberofData Sets SI Bias

                      Number ofData Sets SI Bias

                      Number ofData Sets SI Bias

                      Number ofData Sets SI Bias

                      NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                      WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                      CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                      USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                      AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4455

                      [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                      5 Conclusions

                      [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                      Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                      Data SourceGeographicLocation Model

                      Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                      Number ofData Sets SI Bias

                      Number ofData Sets SI Bias

                      Number ofData Sets SI Bias

                      Number ofData Sets SI Bias

                      NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                      CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                      USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                      AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                      Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                      Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                      Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                      All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                      aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                      bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                      Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4456

                      peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                      waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                      [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                      [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                      Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                      Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4457

                      role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                      [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                      [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                      [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                      modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                      [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                      ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                      model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                      Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                      Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                      Data SourceNumber of Timeseries Data Sets SI Bias

                      ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                      Errors

                      Number ofHWMs Slope R2

                      Avg AbsDiff

                      StdDev

                      Avg AbsDiff

                      StdDev

                      Avg AbsDiff Std Dev

                      AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                      aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4458

                      Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                      Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                      Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                      Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                      Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                      Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                      Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                      Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                      Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                      Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                      Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                      Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                      Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                      Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                      Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                      Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                      East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                      Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                      Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                      FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                      FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                      Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                      tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                      Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                      Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                      Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                      Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                      Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                      Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                      Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                      Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                      Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                      Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                      Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                      Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                      Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                      Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                      Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                      Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                      Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                      Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                      Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                      Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                      Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4459

                      Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                      Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                      Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                      Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                      Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                      Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                      Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                      Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                      4460

                      • l
                      • l
                      • l
                      • l

                        velocity and direction during Hurricane Ike Figures 10 and11 compare the OWI HWINDIOKA-based wind speedsand directions as adjusted by ADCIRC (10 min averagewinds overland directional wind boundary layer adjust-ments adjustment for water column height relative tophysical roughness element scale) to the observed dataUnfortunately many data recording stations failed at orbefore peak winds near landfall leaving fewer points ofcomparison for the maximum winds It should be notedthat the OWI wind fields used as ADCIRC input representlarge-scale synoptic wind patterns and exclude local and

                        short time scale phenomena such as the diurnal cycle seenin the observed data This diurnal cycle is particularlyprominent at station TCOON 87730371 In regard to thesynoptic cyclonic winds the OWI winds capture well thegrowth peak and reduction of wind velocities Of particu-lar note is the capture of the passing of the eye at stationTCOON 87710131 One particular source of error in theOWI winds is the underprediction of winds on the LATEXshelf before landfall as seen in stations TCOON 87713411and TCOON 87710131 between 3 and 15 h GMT on 12September These moderate velocity shelf parallel winds

                        Figure 5 (continued)

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4435

                        drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

                        nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

                        42 Waves

                        [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

                        Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4436

                        winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

                        deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

                        [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

                        Figure 6 (continued)

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4437

                        lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

                        [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

                        Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4438

                        heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

                        [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

                        and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

                        Figure 7 (continued)

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4439

                        water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

                        s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

                        Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4440

                        on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                        [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                        nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                        Figure 8 (continued)

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4441

                        dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                        [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                        [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                        coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                        [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                        Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                        Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4442

                        Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                        Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4443

                        SI frac14

                        ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                        XN

                        ifrac141Ei E 2

                        q1N

                        XN

                        ifrac141jOij

                        and normalized bias

                        bias frac141N

                        XN

                        ifrac141Ei

                        1N

                        XN

                        ifrac141jOij

                        where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                        Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4444

                        directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                        [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                        cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                        Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4445

                        stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                        the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                        Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4446

                        parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                        modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                        43 Surge and Currents

                        [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                        Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                        4447

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                        [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                        NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                        Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4448

                        associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                        [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                        current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                        allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                        [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                        the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                        Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4449

                        occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                        [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                        and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                        [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                        Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4450

                        recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                        [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                        driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                        L frac14 TffiffiffiffiffiffiffigHp

                        4

                        where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                        Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4451

                        [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                        marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                        Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4452

                        and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                        [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                        [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                        PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                        Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4453

                        currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                        [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                        [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                        [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                        Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                        Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4454

                        elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                        [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                        [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                        overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                        Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                        Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                        Data Source Model

                        Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                        NumberofData Sets SI Bias

                        Number ofData Sets SI Bias

                        Number ofData Sets SI Bias

                        Number ofData Sets SI Bias

                        NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                        WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                        CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                        USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                        AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4455

                        [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                        5 Conclusions

                        [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                        Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                        Data SourceGeographicLocation Model

                        Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                        Number ofData Sets SI Bias

                        Number ofData Sets SI Bias

                        Number ofData Sets SI Bias

                        Number ofData Sets SI Bias

                        NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                        CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                        USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                        AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                        Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                        Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                        Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                        All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                        aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                        bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                        Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4456

                        peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                        waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                        [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                        [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                        Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                        Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4457

                        role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                        [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                        [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                        [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                        modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                        [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                        ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                        model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                        Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                        Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                        Data SourceNumber of Timeseries Data Sets SI Bias

                        ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                        Errors

                        Number ofHWMs Slope R2

                        Avg AbsDiff

                        StdDev

                        Avg AbsDiff

                        StdDev

                        Avg AbsDiff Std Dev

                        AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                        aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4458

                        Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                        Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                        Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                        Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                        Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                        Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                        Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                        Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                        Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                        Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                        Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                        Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                        Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                        Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                        Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                        Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                        East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                        Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                        Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                        FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                        FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                        Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                        tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                        Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                        Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                        Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                        Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                        Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                        Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                        Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                        Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                        Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                        Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                        Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                        Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                        Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                        Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                        Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                        Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                        Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                        Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                        Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                        Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                        Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4459

                        Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                        Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                        Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                        Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                        Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                        Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                        Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                        Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                        4460

                        • l
                        • l
                        • l
                        • l

                          drive the forerunner surge and underprediction of thesewinds leads to a lower shore parallel current and lowerwater levels prelandfall In regard to wind direction theOWI winds capture the shifting of winds as Ike made land-fall but fail to capture some of the short-time scale shifts inwind direction Because these short-duration localized phe-

                          nomena are not captured in the OWI winds they will notappear in the ADCIRC circulation response

                          42 Waves

                          [38] As Ike progressed through the Gulf of Mexico thelargest waves were generated by the stormrsquos most intense

                          Figure 6 SWAN peak period (s) on the LATEX coast during Ike Vectors representing wind speedand direction are displayed Plots represent the following times (a) 1300 UTC 12 September 2008approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h before landfall (c)0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 September approxi-mately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900 UTC 13September approximately 12 h after landfall

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4436

                          winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

                          deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

                          [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

                          Figure 6 (continued)

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4437

                          lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

                          [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

                          Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4438

                          heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

                          [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

                          and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

                          Figure 7 (continued)

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4439

                          water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

                          s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

                          Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4440

                          on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                          [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                          nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                          Figure 8 (continued)

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4441

                          dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                          [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                          [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                          coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                          [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                          Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                          Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4442

                          Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                          Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4443

                          SI frac14

                          ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                          XN

                          ifrac141Ei E 2

                          q1N

                          XN

                          ifrac141jOij

                          and normalized bias

                          bias frac141N

                          XN

                          ifrac141Ei

                          1N

                          XN

                          ifrac141jOij

                          where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                          Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4444

                          directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                          [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                          cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                          Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4445

                          stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                          the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                          Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4446

                          parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                          modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                          43 Surge and Currents

                          [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                          Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                          4447

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                          [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                          NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                          Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4448

                          associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                          [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                          current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                          allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                          [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                          the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                          Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4449

                          occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                          [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                          and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                          [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                          Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4450

                          recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                          [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                          driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                          L frac14 TffiffiffiffiffiffiffigHp

                          4

                          where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                          Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4451

                          [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                          marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                          Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4452

                          and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                          [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                          [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                          PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                          Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4453

                          currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                          [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                          [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                          [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                          Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                          Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4454

                          elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                          [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                          [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                          overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                          Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                          Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                          Data Source Model

                          Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                          NumberofData Sets SI Bias

                          Number ofData Sets SI Bias

                          Number ofData Sets SI Bias

                          Number ofData Sets SI Bias

                          NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                          WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                          CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                          USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                          AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4455

                          [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                          5 Conclusions

                          [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                          Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                          Data SourceGeographicLocation Model

                          Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                          Number ofData Sets SI Bias

                          Number ofData Sets SI Bias

                          Number ofData Sets SI Bias

                          Number ofData Sets SI Bias

                          NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                          CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                          USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                          AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                          Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                          Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                          Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                          All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                          aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                          bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                          Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4456

                          peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                          waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                          [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                          [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                          Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                          Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4457

                          role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                          [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                          [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                          [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                          modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                          [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                          ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                          model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                          Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                          Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                          Data SourceNumber of Timeseries Data Sets SI Bias

                          ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                          Errors

                          Number ofHWMs Slope R2

                          Avg AbsDiff

                          StdDev

                          Avg AbsDiff

                          StdDev

                          Avg AbsDiff Std Dev

                          AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                          aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4458

                          Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                          Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                          Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                          Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                          Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                          Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                          Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                          Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                          Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                          Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                          Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                          Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                          Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                          Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                          Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                          Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                          East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                          Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                          Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                          FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                          FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                          Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                          tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                          Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                          Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                          Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                          Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                          Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                          Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                          Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                          Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                          Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                          Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                          Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                          Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                          Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                          Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                          Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                          Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                          Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                          Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                          Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                          Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                          Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4459

                          Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                          Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                          Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                          Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                          Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                          Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                          Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                          Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                          4460

                          • l
                          • l
                          • l
                          • l

                            winds located to the east of the eye as illustrated in Figures5 and 6 In the northeastern Gulf deep water NDBC buoys42036 and 42039 recorded significant wave heights of 4 mand 8 m respectively and maximum mean wave periods of10 s and 12 s respectively (Figures 12ndash14) Ike passed justto the east of NDBC buoy 42001 generating a maximumsignificant wave height of almost 10 m before the stormpassed and 8 m afterward with a maximum mean period of12 s as the storm center passed over the buoy (Figures 12ndash14) Maximum computed SWAN significant wave heightsin the Gulf of Mexico exceeded 15 m occurring in the

                            deep Gulf to the south of the Louisiana continental shelfbreak Far to the west of the track at NDBC buoys 42002and 42055 significant wave heights reached 6 m and 3 mrespectively and mean periods reached 13 s at both buoys(Figures 12ndash14)

                            [39] To the east of New Orleans on the Alabama-Mississippi Shelf the shallow bathymetry and the associ-ated depth-limited breaking attenuated the large oceanswell (Figures 5 and 6) Furthermore the ChandeleurIslands prevented these large long waves from entering theChandeleur Sound limiting wave heights in the Sound to

                            Figure 6 (continued)

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4437

                            lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

                            [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

                            Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4438

                            heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

                            [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

                            and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

                            Figure 7 (continued)

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4439

                            water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

                            s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

                            Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4440

                            on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                            [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                            nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                            Figure 8 (continued)

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4441

                            dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                            [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                            [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                            coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                            [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                            Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                            Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4442

                            Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                            Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4443

                            SI frac14

                            ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                            XN

                            ifrac141Ei E 2

                            q1N

                            XN

                            ifrac141jOij

                            and normalized bias

                            bias frac141N

                            XN

                            ifrac141Ei

                            1N

                            XN

                            ifrac141jOij

                            where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                            Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4444

                            directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                            [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                            cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                            Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4445

                            stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                            the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                            Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4446

                            parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                            modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                            43 Surge and Currents

                            [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                            Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                            4447

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                            [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                            NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                            Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4448

                            associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                            [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                            current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                            allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                            [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                            the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                            Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4449

                            occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                            [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                            and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                            [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                            Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4450

                            recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                            [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                            driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                            L frac14 TffiffiffiffiffiffiffigHp

                            4

                            where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                            Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4451

                            [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                            marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                            Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4452

                            and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                            [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                            [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                            PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                            Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4453

                            currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                            [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                            [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                            [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                            Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                            Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4454

                            elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                            [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                            [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                            overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                            Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                            Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                            Data Source Model

                            Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                            NumberofData Sets SI Bias

                            Number ofData Sets SI Bias

                            Number ofData Sets SI Bias

                            Number ofData Sets SI Bias

                            NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                            WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                            CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                            USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                            AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4455

                            [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                            5 Conclusions

                            [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                            Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                            Data SourceGeographicLocation Model

                            Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                            Number ofData Sets SI Bias

                            Number ofData Sets SI Bias

                            Number ofData Sets SI Bias

                            Number ofData Sets SI Bias

                            NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                            CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                            USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                            AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                            Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                            Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                            Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                            All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                            aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                            bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                            Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4456

                            peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                            waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                            [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                            [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                            Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                            Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4457

                            role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                            [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                            [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                            [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                            modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                            [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                            ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                            model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                            Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                            Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                            Data SourceNumber of Timeseries Data Sets SI Bias

                            ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                            Errors

                            Number ofHWMs Slope R2

                            Avg AbsDiff

                            StdDev

                            Avg AbsDiff

                            StdDev

                            Avg AbsDiff Std Dev

                            AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                            aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4458

                            Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                            Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                            Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                            Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                            Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                            Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                            Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                            Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                            Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                            Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                            Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                            Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                            Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                            Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                            Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                            Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                            East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                            Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                            Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                            FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                            FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                            Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                            tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                            Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                            Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                            Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                            Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                            Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                            Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                            Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                            Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                            Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                            Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                            Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                            Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                            Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                            Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                            Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                            Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                            Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                            Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                            Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                            Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                            Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4459

                            Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                            Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                            Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                            Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                            Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                            Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                            Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                            Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                            4460

                            • l
                            • l
                            • l
                            • l

                              lt2 m In the Biloxi Marsh friction and even shallowerdepths limited wave heights to 05 m and peak periods to 5s This rapid transformation from deep water to land isobserved by NDBC buoys 42040 and 42007 andCHL gages 2410510B 2410513B and 2410504B (Figures12ndash16 and 17)

                              [40] The narrow shelf to the south and west of the Mis-sissippi River Delta allows large swell waves to propagateclose to the delta and bays to the west (Figures 5 and 6)Rapid wave attenuation occurs as depths become shallowand wetlands are penetrated Offshore from TerrebonneBay CSI gages 06 and 05 recorded significant wave

                              Figure 7 ADCIRC water surface elevation (m) on the LATEX shelf and coast during Ike Vectorsrepresenting wind speed and direction are displayed Plots represent the following times (a) 1300 UTC12 September 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12h before landfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Sep-tember approximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f)1900 UTC 13 September approximately 12 h after landfall

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4438

                              heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

                              [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

                              and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

                              Figure 7 (continued)

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4439

                              water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

                              s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

                              Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4440

                              on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                              [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                              nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                              Figure 8 (continued)

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4441

                              dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                              [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                              [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                              coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                              [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                              Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                              Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4442

                              Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                              Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4443

                              SI frac14

                              ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                              XN

                              ifrac141Ei E 2

                              q1N

                              XN

                              ifrac141jOij

                              and normalized bias

                              bias frac141N

                              XN

                              ifrac141Ei

                              1N

                              XN

                              ifrac141jOij

                              where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                              Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4444

                              directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                              [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                              cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                              Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4445

                              stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                              the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                              Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4446

                              parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                              modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                              43 Surge and Currents

                              [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                              Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                              4447

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                              [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                              NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                              Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4448

                              associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                              [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                              current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                              allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                              [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                              the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                              Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4449

                              occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                              [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                              and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                              [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                              Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4450

                              recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                              [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                              driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                              L frac14 TffiffiffiffiffiffiffigHp

                              4

                              where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                              Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4451

                              [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                              marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                              Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4452

                              and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                              [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                              [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                              PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                              Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4453

                              currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                              [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                              [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                              [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                              Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                              Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4454

                              elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                              [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                              [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                              overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                              Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                              Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                              Data Source Model

                              Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                              NumberofData Sets SI Bias

                              Number ofData Sets SI Bias

                              Number ofData Sets SI Bias

                              Number ofData Sets SI Bias

                              NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                              WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                              CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                              USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                              AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4455

                              [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                              5 Conclusions

                              [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                              Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                              Data SourceGeographicLocation Model

                              Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                              Number ofData Sets SI Bias

                              Number ofData Sets SI Bias

                              Number ofData Sets SI Bias

                              Number ofData Sets SI Bias

                              NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                              CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                              USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                              AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                              Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                              Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                              Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                              All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                              aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                              bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                              Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4456

                              peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                              waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                              [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                              [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                              Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                              Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4457

                              role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                              [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                              [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                              [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                              modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                              [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                              ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                              model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                              Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                              Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                              Data SourceNumber of Timeseries Data Sets SI Bias

                              ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                              Errors

                              Number ofHWMs Slope R2

                              Avg AbsDiff

                              StdDev

                              Avg AbsDiff

                              StdDev

                              Avg AbsDiff Std Dev

                              AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                              aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4458

                              Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                              Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                              Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                              Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                              Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                              Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                              Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                              Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                              Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                              Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                              Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                              Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                              Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                              Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                              Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                              Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                              East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                              Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                              Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                              FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                              FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                              Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                              tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                              Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                              Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                              Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                              Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                              Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                              Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                              Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                              Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                              Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                              Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                              Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                              Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                              Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                              Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                              Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                              Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                              Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                              Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                              Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                              Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                              Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4459

                              Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                              Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                              Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                              Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                              Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                              Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                              Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                              Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                              4460

                              • l
                              • l
                              • l
                              • l

                                heights of 6 m and 3 m respectively and a maximum peakwave period of 16 s (Figures 12 16 and 17) CHL wavegage 2410512B in the marshes to the north of TerrebonneBay recorded significant wave heights of 1 m and peakwave periods reached a maximum of 3 s demonstrating thedepth limited and bottom friction induced breaking thatoccurs in the bay and marsh system

                                [41] The broad Texas shelf also limited the propagationof the large swell waves generated in the central deep Gulf(Figures 5 and 6) NDBC buoys 42019 and 42020 are bothpositioned on the outer Texas shelf southwest of landfall

                                and recorded significant wave heights of up to 7 m andmaximum mean wave periods of 12 s and 14 s respectivelyOn the inner Texas shelf NDBC buoy 42035 (which wasdislodged from its mooring as the storm passed httpwwwndbcnoaagovstation_pagephpstationfrac1442035) wasinitially located just to the south of Ikersquos track and recordeda significant wave height of 6 m and maximum mean waveperiod of 13 s before being dislodged in the hours before Ikepassed On the nearshore Texas shelf Andrew Kennedyrsquos(AK) gages Z Y X W V S and R shown in Figures 1216 and 17 recorded wave heights and peak periods in mean

                                Figure 7 (continued)

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4439

                                water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

                                s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

                                Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4440

                                on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                                [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                                nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                                Figure 8 (continued)

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4441

                                dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                                [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                                [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                                coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                                [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                                Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                                Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4442

                                Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                                Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4443

                                SI frac14

                                ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                                XN

                                ifrac141Ei E 2

                                q1N

                                XN

                                ifrac141jOij

                                and normalized bias

                                bias frac141N

                                XN

                                ifrac141Ei

                                1N

                                XN

                                ifrac141jOij

                                where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                                Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4444

                                directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                                [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                                cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                                Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4445

                                stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                                the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                                Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4446

                                parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                                modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                                43 Surge and Currents

                                [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                                Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                                4447

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                                [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                                NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                                Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4448

                                associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4449

                                occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4450

                                recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                L frac14 TffiffiffiffiffiffiffigHp

                                4

                                where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4451

                                [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4452

                                and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4453

                                currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4454

                                elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                Data Source Model

                                Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                NumberofData Sets SI Bias

                                Number ofData Sets SI Bias

                                Number ofData Sets SI Bias

                                Number ofData Sets SI Bias

                                NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4455

                                [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                5 Conclusions

                                [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                Data SourceGeographicLocation Model

                                Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                Number ofData Sets SI Bias

                                Number ofData Sets SI Bias

                                Number ofData Sets SI Bias

                                Number ofData Sets SI Bias

                                NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4456

                                peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4457

                                role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                Data SourceNumber of Timeseries Data Sets SI Bias

                                ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                Errors

                                Number ofHWMs Slope R2

                                Avg AbsDiff

                                StdDev

                                Avg AbsDiff

                                StdDev

                                Avg AbsDiff Std Dev

                                AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4458

                                Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4459

                                Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                4460

                                • l
                                • l
                                • l
                                • l

                                  water depths of 85ndash16 m covering a section of coast fromBolivar Peninsula north of landfall to Corpus Christi southof landfall Stations AK Z and Y to the north of landfallexperienced the strongest landfalling winds and recordedsignificant wave heights of 5 m and peak wave periods of 16

                                  s prior to landfall and 6ndash12 s at landfall indicating the transi-tion from swell dominance to wind-sea dominance as Ikepassed To the south of landfall AK stations X V S and R(Figure 12) recorded maximum significant wave heights of58 m 5 m 3 m and 45 m respectively (Figure 16) Based

                                  Figure 8 ADCIRC currents (m s1) on the LATEX shelf and coast during Ike Vectors representingwind speed and direction are displayed Plots represent the following times (a) 1300 UTC 12 Septem-ber 2008 approximately 18 h before landfall (b) 1900 UTC 12 September approximately 12 h beforelandfall (c) 0100 UTC 13 September approximately 6 h before landfall (d) 0700 UTC 13 Septemberapproximately at landfall (e) 1300 UTC 13 September approximately 6 h after landfall and (f) 1900UTC 13 September approximately 12 h after landfall

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4440

                                  on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                                  [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                                  nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                                  Figure 8 (continued)

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4441

                                  dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                                  [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                                  [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                                  coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                                  [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                                  Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                                  Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4442

                                  Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                                  Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4443

                                  SI frac14

                                  ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                                  XN

                                  ifrac141Ei E 2

                                  q1N

                                  XN

                                  ifrac141jOij

                                  and normalized bias

                                  bias frac141N

                                  XN

                                  ifrac141Ei

                                  1N

                                  XN

                                  ifrac141jOij

                                  where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                                  Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4444

                                  directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                                  [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                                  cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                                  Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4445

                                  stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                                  the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                                  Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4446

                                  parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                                  modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                                  43 Surge and Currents

                                  [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                                  Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                                  4447

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                                  [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                                  NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                                  Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4448

                                  associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                  [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                  current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                  allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                  [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                  the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                  Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4449

                                  occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                  [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                  and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                  [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                  Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4450

                                  recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                  [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                  driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                  L frac14 TffiffiffiffiffiffiffigHp

                                  4

                                  where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                  Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4451

                                  [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                  marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                  Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4452

                                  and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                  [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                  [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                  PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                  Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4453

                                  currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                  [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                  [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                  [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                  Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                  Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4454

                                  elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                  [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                  [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                  overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                  Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                  Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                  Data Source Model

                                  Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                  NumberofData Sets SI Bias

                                  Number ofData Sets SI Bias

                                  Number ofData Sets SI Bias

                                  Number ofData Sets SI Bias

                                  NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                  WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                  CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                  USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                  AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4455

                                  [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                  5 Conclusions

                                  [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                  Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                  Data SourceGeographicLocation Model

                                  Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                  Number ofData Sets SI Bias

                                  Number ofData Sets SI Bias

                                  Number ofData Sets SI Bias

                                  Number ofData Sets SI Bias

                                  NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                  CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                  USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                  AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                  Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                  Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                  Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                  All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                  aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                  bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                  Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4456

                                  peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                  waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                  [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                  [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                  Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                  Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4457

                                  role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                  [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                  [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                  [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                  modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                  [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                  ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                  model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                  Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                  Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                  Data SourceNumber of Timeseries Data Sets SI Bias

                                  ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                  Errors

                                  Number ofHWMs Slope R2

                                  Avg AbsDiff

                                  StdDev

                                  Avg AbsDiff

                                  StdDev

                                  Avg AbsDiff Std Dev

                                  AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                  aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4458

                                  Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                  Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                  Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                  Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                  Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                  Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                  Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                  Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                  Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                  Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                  Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                  Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                  Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                  Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                  Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                  Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                  East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                  Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                  Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                  FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                  FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                  Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                  tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                  Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                  Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                  Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                  Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                  Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                  Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                  Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                  Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                  Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                  Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                  Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                  Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                  Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                  Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                  Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                  Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                  Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                  Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                  Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                  Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                  Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4459

                                  Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                  Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                  Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                  Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                  Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                  Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                  Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                  Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                  4460

                                  • l
                                  • l
                                  • l
                                  • l

                                    on the timing of the maximum significant wave height andpeak period at the time of maximum significant wave height(Figure 17) the largest waves at stations V S and R werethe result of swell generated offshore

                                    [42] SWAN WAM and STWAVE wave characteristicsare compared to measured values at representative stationsin Figures 12ndash17 At the deep water NDBC buoys 4203942036 42001 42002 and 42055 are shown in Figures 12ndash15 both SWAN and WAM capture the growth of swellwaves as Ike progresses through the Gulf At nearshorebuoys SWAN more accurately captures the maximum sig-

                                    nificant wave heights as seen at NDBC buoy 42007 nearthe Mississippi-Louisiana coast (Figures 12 and 13) AtNDBC buoy 42002 a dramatic departure is seen betweenthe recorded and computed mean wave direction and themean wave direction modeled by SWAN beginning atlandfall This is due to the measurement range limitation ofhigh wave frequencies at NDBC buoys due to the nature ofthese large wave gages By landfall at buoy 42002 the seastate had transitioned to locally generated wind waveswhich are not accurately captured by the large NDBCbuoys Therefore the mean wave direction is based on the

                                    Figure 8 (continued)

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4441

                                    dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                                    [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                                    [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                                    coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                                    [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                                    Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                                    Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4442

                                    Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                                    Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4443

                                    SI frac14

                                    ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                                    XN

                                    ifrac141Ei E 2

                                    q1N

                                    XN

                                    ifrac141jOij

                                    and normalized bias

                                    bias frac141N

                                    XN

                                    ifrac141Ei

                                    1N

                                    XN

                                    ifrac141jOij

                                    where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                                    Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4444

                                    directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                                    [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                                    cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                                    Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4445

                                    stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                                    the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                                    Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4446

                                    parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                                    modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                                    43 Surge and Currents

                                    [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                                    Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                                    4447

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                                    [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                                    NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                                    Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4448

                                    associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                    [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                    current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                    allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                    [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                    the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                    Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4449

                                    occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                    [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                    and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                    [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                    Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4450

                                    recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                    [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                    driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                    L frac14 TffiffiffiffiffiffiffigHp

                                    4

                                    where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                    Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4451

                                    [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                    marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                    Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4452

                                    and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                    [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                    [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                    PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                    Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4453

                                    currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                    [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                    [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                    [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                    Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                    Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4454

                                    elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                    [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                    [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                    overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                    Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                    Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                    Data Source Model

                                    Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                    NumberofData Sets SI Bias

                                    Number ofData Sets SI Bias

                                    Number ofData Sets SI Bias

                                    Number ofData Sets SI Bias

                                    NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                    WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                    CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                    USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                    AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4455

                                    [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                    5 Conclusions

                                    [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                    Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                    Data SourceGeographicLocation Model

                                    Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                    Number ofData Sets SI Bias

                                    Number ofData Sets SI Bias

                                    Number ofData Sets SI Bias

                                    Number ofData Sets SI Bias

                                    NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                    CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                    USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                    AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                    Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                    Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                    Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                    All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                    aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                    bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                    Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4456

                                    peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                    waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                    [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                    [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                    Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                    Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4457

                                    role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                    [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                    [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                    [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                    modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                    [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                    ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                    model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                    Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                    Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                    Data SourceNumber of Timeseries Data Sets SI Bias

                                    ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                    Errors

                                    Number ofHWMs Slope R2

                                    Avg AbsDiff

                                    StdDev

                                    Avg AbsDiff

                                    StdDev

                                    Avg AbsDiff Std Dev

                                    AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                    aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4458

                                    Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                    Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                    Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                    Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                    Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                    Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                    Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                    Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                    Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                    Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                    Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                    Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                    Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                    Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                    Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                    Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                    East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                    Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                    Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                    FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                    FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                    Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                    tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                    Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                    Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                    Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                    Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                    Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                    Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                    Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                    Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                    Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                    Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                    Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                    Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                    Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                    Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                    Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                    Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                    Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                    Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                    Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                    Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                    Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4459

                                    Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                    Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                    Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                    Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                    Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                    Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                    Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                    Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                    4460

                                    • l
                                    • l
                                    • l
                                    • l

                                      dominant wave period that can be captured by the buoywhich in this case does not align with the local wind waves

                                      [43] In the Biloxi Marsh SWAN captures the smalllocally generated waves as seen at stations USACE CHL2410510B 2410523B and 2410504B (Figures 16 and 17)At the CSI gages 05 and 06 south of Terrebonne BaySWAN accurately captures the arrival of swell generatedoffshore (Figures 16 and 17) North of Terrebonne Bay atCHL gage 2410512B SWAN accurately models the small1 m significant wave height but slightly overestimates thepeak wave period of 3 s (Figures 12 16 and 17) As in theBiloxi Marsh wave solutions in this area are highly sensi-tive to water depth and bottom friction

                                      [44] On the outer TX shelf at NDBC buoys 42020 and42019 both SWAN and WAM capture the development ofswell and peak significant wave heights At nearshoreNDBC buoy 42035 WAM severely underpredicts the de-velopment of swell and peak significant wave heightwhereas SWAN captures the peak as well as wave growth(Figures 12ndash14) At AKrsquos inner shelf gages along the TX

                                      coast both SWAN and STWAVE capture maximum sig-nificant wave heights as well as wave growth prior tolandfall (Figure 16) At AK stations X Y and Z peak sig-nificant wave heights were wind-seas generated by stronglandfalling winds This is opposed to stations V S and Rwhere winds were weaker and maximum wave heightswere generated by swell in the deep Gulf Figure 16 showsa late arrival of the peak significant wave height at AKstations X V S and R This late arrival of maximum sig-nificant wave heights at the inner shelf stations away fromlandfall and underprediction of waves prior to landfall atstations near Ikersquos landfall location indicates an artificialretardation of swell across the TX shelf Despite thisSWAN models the quick transition from swell to wind-sea at landfall as shown in Figure 17 STWAVE also cap-tures this transition but it is more gradual in comparisonto SWAN

                                      [45] For all measured time series agreement of modeledresults to measured data can be quantified via the ScatterIndex (SI)

                                      Figure 9 Locations of NOAA and TCOON stations on the LATEX shelf NOAA in red TCOON inblue Ike track is in black the coastline is in gray and SL18TX33 boundary and raised features in brown

                                      Figure 10 Time series (UTC) of wind velocities (m s1) at NOAA and TCOON stations ADCIRCoutput in black Observation data in gray Dashed green line represents landfall time

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4442

                                      Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                                      Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4443

                                      SI frac14

                                      ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                                      XN

                                      ifrac141Ei E 2

                                      q1N

                                      XN

                                      ifrac141jOij

                                      and normalized bias

                                      bias frac141N

                                      XN

                                      ifrac141Ei

                                      1N

                                      XN

                                      ifrac141jOij

                                      where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                                      Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4444

                                      directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                                      [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                                      cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                                      Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4445

                                      stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                                      the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                                      Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4446

                                      parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                                      modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                                      43 Surge and Currents

                                      [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                                      Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                                      4447

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                                      [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                                      NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                                      Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4448

                                      associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                      [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                      current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                      allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                      [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                      the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                      Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4449

                                      occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                      [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                      and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                      [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                      Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4450

                                      recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                      [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                      driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                      L frac14 TffiffiffiffiffiffiffigHp

                                      4

                                      where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                      Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4451

                                      [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                      marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                      Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4452

                                      and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                      [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                      [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                      PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                      Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4453

                                      currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                      [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                      [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                      [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                      Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                      Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4454

                                      elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                      [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                      [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                      overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                      Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                      Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                      Data Source Model

                                      Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                      NumberofData Sets SI Bias

                                      Number ofData Sets SI Bias

                                      Number ofData Sets SI Bias

                                      Number ofData Sets SI Bias

                                      NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                      WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                      CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                      USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                      AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4455

                                      [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                      5 Conclusions

                                      [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                      Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                      Data SourceGeographicLocation Model

                                      Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                      Number ofData Sets SI Bias

                                      Number ofData Sets SI Bias

                                      Number ofData Sets SI Bias

                                      Number ofData Sets SI Bias

                                      NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                      CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                      USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                      AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                      Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                      Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                      Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                      All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                      aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                      bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                      Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4456

                                      peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                      waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                      [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                      [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                      Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                      Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4457

                                      role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                      [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                      [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                      [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                      modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                      [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                      ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                      model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                      Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                      Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                      Data SourceNumber of Timeseries Data Sets SI Bias

                                      ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                      Errors

                                      Number ofHWMs Slope R2

                                      Avg AbsDiff

                                      StdDev

                                      Avg AbsDiff

                                      StdDev

                                      Avg AbsDiff Std Dev

                                      AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                      aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4458

                                      Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                      Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                      Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                      Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                      Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                      Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                      Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                      Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                      Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                      Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                      Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                      Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                      Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                      Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                      Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                      Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                      East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                      Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                      Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                      FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                      FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                      Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                      tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                      Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                      Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                      Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                      Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                      Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                      Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                      Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                      Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                      Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                      Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                      Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                      Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                      Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                      Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                      Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                      Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                      Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                      Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                      Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                      Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                      Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4459

                                      Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                      Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                      Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                      Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                      Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                      Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                      Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                      Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                      4460

                                      • l
                                      • l
                                      • l
                                      • l

                                        Figure 11 Time series (UTC) of wind direction () at NOAA and TCOON stations ADCIRC outputin black observation data in gray Dashed green line represents landfall time

                                        Figure 12 Locations of NDBC CSI CHL and AK gages in the Gulf of Mexico NDBC in blackCSI in red CHL in green and AK in blue Ike track is in black the coastline is in gray andSL18TX33 boundary and raised features in brown NDBC 42058 lies outside the frame in the Carib-bean Sea

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4443

                                        SI frac14

                                        ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                                        XN

                                        ifrac141Ei E 2

                                        q1N

                                        XN

                                        ifrac141jOij

                                        and normalized bias

                                        bias frac141N

                                        XN

                                        ifrac141Ei

                                        1N

                                        XN

                                        ifrac141jOij

                                        where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                                        Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4444

                                        directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                                        [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                                        cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                                        Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4445

                                        stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                                        the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                                        Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4446

                                        parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                                        modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                                        43 Surge and Currents

                                        [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                                        Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                                        4447

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                                        [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                                        NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                                        Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4448

                                        associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                        [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                        current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                        allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                        [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                        the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                        Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4449

                                        occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                        [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                        and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                        [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                        Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4450

                                        recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                        [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                        driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                        L frac14 TffiffiffiffiffiffiffigHp

                                        4

                                        where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                        Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4451

                                        [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                        marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                        Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4452

                                        and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                        [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                        [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                        PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                        Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4453

                                        currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                        [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                        [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                        [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                        Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                        Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4454

                                        elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                        [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                        [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                        overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                        Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                        Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                        Data Source Model

                                        Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                        NumberofData Sets SI Bias

                                        Number ofData Sets SI Bias

                                        Number ofData Sets SI Bias

                                        Number ofData Sets SI Bias

                                        NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                        WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                        CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                        USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                        AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4455

                                        [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                        5 Conclusions

                                        [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                        Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                        Data SourceGeographicLocation Model

                                        Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                        Number ofData Sets SI Bias

                                        Number ofData Sets SI Bias

                                        Number ofData Sets SI Bias

                                        Number ofData Sets SI Bias

                                        NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                        CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                        USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                        AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                        Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                        Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                        Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                        All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                        aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                        bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                        Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4456

                                        peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                        waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                        [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                        [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                        Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                        Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4457

                                        role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                        [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                        [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                        [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                        modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                        [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                        ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                        model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                        Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                        Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                        Data SourceNumber of Timeseries Data Sets SI Bias

                                        ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                        Errors

                                        Number ofHWMs Slope R2

                                        Avg AbsDiff

                                        StdDev

                                        Avg AbsDiff

                                        StdDev

                                        Avg AbsDiff Std Dev

                                        AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                        aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4458

                                        Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                        Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                        Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                        Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                        Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                        Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                        Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                        Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                        Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                        Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                        Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                        Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                        Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                        Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                        Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                        Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                        East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                        Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                        Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                        FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                        FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                        Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                        tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                        Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                        Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                        Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                        Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                        Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                        Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                        Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                        Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                        Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                        Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                        Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                        Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                        Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                        Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                        Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                        Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                        Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                        Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                        Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                        Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                        Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4459

                                        Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                        Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                        Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                        Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                        Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                        Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                        Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                        Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                        4460

                                        • l
                                        • l
                                        • l
                                        • l

                                          SI frac14

                                          ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1N

                                          XN

                                          ifrac141Ei E 2

                                          q1N

                                          XN

                                          ifrac141jOij

                                          and normalized bias

                                          bias frac141N

                                          XN

                                          ifrac141Ei

                                          1N

                                          XN

                                          ifrac141jOij

                                          where N is the number of observed data points Si is themodeled data value Oi is the measured value Eifrac14 SiOiand E is the mean error [Hanson et al 2009] The SI is theratio of the standard deviation of model error to the meanmeasured value Tables 4 and 5 summarize SI and bias forall measured wave data It should be noted that WAM andSTWAVE are subject to slightly different wind forcingthan SWAN SWAN receives its winds from ADCIRCwhere overland winds are reduced due to directionalonshore roughness Thus a narrow zone of offshore

                                          Figure 13 Time series (UTC) of significant wave heights (m) at 12 NDBC stations SWAN results arein black WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4444

                                          directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                                          [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                                          cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                                          Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4445

                                          stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                                          the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                                          Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4446

                                          parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                                          modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                                          43 Surge and Currents

                                          [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                                          Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                                          4447

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                                          [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                                          NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                                          Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4448

                                          associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                          [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                          current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                          allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                          [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                          the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                          Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4449

                                          occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                          [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                          and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                          [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                          Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4450

                                          recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                          [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                          driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                          L frac14 TffiffiffiffiffiffiffigHp

                                          4

                                          where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                          Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4451

                                          [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                          marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                          Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4452

                                          and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                          [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                          [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                          PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                          Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4453

                                          currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                          [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                          [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                          [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                          Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                          Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4454

                                          elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                          [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                          [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                          overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                          Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                          Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                          Data Source Model

                                          Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                          NumberofData Sets SI Bias

                                          Number ofData Sets SI Bias

                                          Number ofData Sets SI Bias

                                          Number ofData Sets SI Bias

                                          NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                          WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                          CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                          USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                          AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4455

                                          [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                          5 Conclusions

                                          [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                          Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                          Data SourceGeographicLocation Model

                                          Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                          Number ofData Sets SI Bias

                                          Number ofData Sets SI Bias

                                          Number ofData Sets SI Bias

                                          Number ofData Sets SI Bias

                                          NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                          CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                          USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                          AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                          Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                          Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                          Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                          All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                          aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                          bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                          Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4456

                                          peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                          waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                          [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                          [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                          Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                          Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4457

                                          role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                          [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                          [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                          [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                          modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                          [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                          ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                          model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                          Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                          Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                          Data SourceNumber of Timeseries Data Sets SI Bias

                                          ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                          Errors

                                          Number ofHWMs Slope R2

                                          Avg AbsDiff

                                          StdDev

                                          Avg AbsDiff

                                          StdDev

                                          Avg AbsDiff Std Dev

                                          AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                          aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4458

                                          Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                          Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                          Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                          Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                          Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                          Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                          Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                          Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                          Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                          Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                          Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                          Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                          Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                          Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                          Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                          Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                          East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                          Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                          Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                          FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                          FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                          Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                          tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                          Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                          Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                          Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                          Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                          Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                          Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                          Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                          Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                          Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                          Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                          Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                          Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                          Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                          Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                          Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                          Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                          Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                          Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                          Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                          Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                          Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4459

                                          Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                          Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                          Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                          Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                          Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                          Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                          Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                          Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                          4460

                                          • l
                                          • l
                                          • l
                                          • l

                                            directed winds adjacent to noninundated land areas will bedifferent However the offshore marine winds with no landboundary layer adjustments are the same for all threemodels

                                            [46] Table 4 summarizes model performance at everystation within each wave modelrsquos domain while Table 5summarizes error statistics only at stations shared by atleast two wave models In general good agreement is seenbetween SWAN and WAMSTWAVE to measured data atNDBC CSI and AK gages SI and bias values for signifi-

                                            cant wave heights mean and peak periods and mean direc-tion at NDBC CSI and AK gages are similar to thosefound in previous SWANthornADCIRC validation studies[Dietrich et al 2011a] Table 4 provides an overall assess-ment of model performance but to understand how thewave models performed in relation to one another Table 5must be examined Overall SWAN and WAMSTWAVEperform comparably but some regional and model differ-ences can be discerned by looking at model performance indiffering coastal geographies at common stations At

                                            Figure 14 Time series (UTC) of mean wave period (s) at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4445

                                            stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                                            the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                                            Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4446

                                            parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                                            modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                                            43 Surge and Currents

                                            [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                                            Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                                            4447

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                                            [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                                            NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                                            Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4448

                                            associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                            [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                            current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                            allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                            [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                            the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                            Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4449

                                            occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                            [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                            and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                            [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                            Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4450

                                            recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                            [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                            driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                            L frac14 TffiffiffiffiffiffiffigHp

                                            4

                                            where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                            Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4451

                                            [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                            marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                            Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4452

                                            and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                            [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                            [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                            PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                            Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4453

                                            currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                            [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                            [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                            [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                            Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                            Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4454

                                            elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                            [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                            [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                            overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                            Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                            Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                            Data Source Model

                                            Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                            NumberofData Sets SI Bias

                                            Number ofData Sets SI Bias

                                            Number ofData Sets SI Bias

                                            Number ofData Sets SI Bias

                                            NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                            WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                            CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                            USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                            AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4455

                                            [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                            5 Conclusions

                                            [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                            Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                            Data SourceGeographicLocation Model

                                            Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                            Number ofData Sets SI Bias

                                            Number ofData Sets SI Bias

                                            Number ofData Sets SI Bias

                                            Number ofData Sets SI Bias

                                            NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                            CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                            USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                            AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                            Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                            Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                            Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                            All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                            aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                            bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                            Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4456

                                            peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                            waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                            [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                            [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                            Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                            Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4457

                                            role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                            [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                            [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                            [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                            modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                            [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                            ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                            model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                            Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                            Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                            Data SourceNumber of Timeseries Data Sets SI Bias

                                            ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                            Errors

                                            Number ofHWMs Slope R2

                                            Avg AbsDiff

                                            StdDev

                                            Avg AbsDiff

                                            StdDev

                                            Avg AbsDiff Std Dev

                                            AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                            aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4458

                                            Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                            Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                            Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                            Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                            Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                            Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                            Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                            Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                            Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                            Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                            Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                            Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                            Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                            Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                            Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                            Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                            East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                            Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                            Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                            FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                            FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                            Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                            tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                            Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                            Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                            Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                            Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                            Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                            Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                            Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                            Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                            Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                            Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                            Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                            Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                            Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                            Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                            Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                            Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                            Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                            Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                            Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                            Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                            Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4459

                                            Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                            Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                            Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                            Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                            Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                            Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                            Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                            Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                            4460

                                            • l
                                            • l
                                            • l
                                            • l

                                              stations common to both SWAN and WAMSTWAVEwave heights are overestimated for all geographic locationsand models with the exception of WAMSTWAVE atNDBC buoys SI and bias increase as stations are located inincreasingly shallow water implying a trend of overesti-mated wave heights in very shallow water A slight advant-age is seen with WAMSTWAVE in peak wave period incoastal waters For inland waters SWAN performs betterfor peak period It should be noted that wave heights aresmall at inland stations Mean wave direction represents

                                              the wave parameter where one model clearly outperformsthe other SWAN has significantly lower bias and SI com-pared to WAMSTWAVE in deep water Unfortunatelymean wave direction was only recorded at NDBC deepwater stations making it impossible to see if the spatialtrend of increasing accuracy in deep waters extends to shal-lower water The spatial trend of decreasing accuracy anddiffering model results in shallow water may be due toeach modelrsquos representation of bathymetry mesh resolu-tion and the general increased sensitivity of wave

                                              Figure 15 Time series (UTC) of mean wave direction () at 12 NDBC stations SWAN results are inblack WAM results are in blue and STWAVE results are in red Dashed green line represents landfalltime

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4446

                                              parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                                              modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                                              43 Surge and Currents

                                              [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                                              Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                                              4447

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                                              [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                                              NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                                              Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4448

                                              associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                              [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                              current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                              allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                              [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                              the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                              Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4449

                                              occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                              [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                              and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                              [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                              Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4450

                                              recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                              [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                              driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                              L frac14 TffiffiffiffiffiffiffigHp

                                              4

                                              where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                              Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4451

                                              [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                              marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                              Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4452

                                              and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                              [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                              [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                              PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                              Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4453

                                              currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                              [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                              [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                              [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                              Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                              Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4454

                                              elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                              [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                              [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                              overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                              Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                              Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                              Data Source Model

                                              Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                              NumberofData Sets SI Bias

                                              Number ofData Sets SI Bias

                                              Number ofData Sets SI Bias

                                              Number ofData Sets SI Bias

                                              NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                              WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                              CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                              USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                              AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4455

                                              [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                              5 Conclusions

                                              [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                              Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                              Data SourceGeographicLocation Model

                                              Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                              Number ofData Sets SI Bias

                                              Number ofData Sets SI Bias

                                              Number ofData Sets SI Bias

                                              Number ofData Sets SI Bias

                                              NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                              CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                              USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                              AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                              Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                              Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                              Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                              All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                              aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                              bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                              Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4456

                                              peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                              waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                              [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                              [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                              Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                              Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4457

                                              role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                              [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                              [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                              [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                              modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                              [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                              ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                              model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                              Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                              Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                              Data SourceNumber of Timeseries Data Sets SI Bias

                                              ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                              Errors

                                              Number ofHWMs Slope R2

                                              Avg AbsDiff

                                              StdDev

                                              Avg AbsDiff

                                              StdDev

                                              Avg AbsDiff Std Dev

                                              AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                              aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4458

                                              Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                              Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                              Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                              Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                              Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                              Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                              Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                              Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                              Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                              Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                              Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                              Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                              Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                              Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                              Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                              Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                              East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                              Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                              Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                              FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                              FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                              Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                              tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                              Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                              Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                              Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                              Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                              Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                              Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                              Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                              Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                              Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                              Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                              Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                              Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                              Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                              Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                              Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                              Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                              Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                              Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                              Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                              Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                              Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4459

                                              Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                              Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                              Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                              Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                              Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                              Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                              Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                              Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                              4460

                                              • l
                                              • l
                                              • l
                                              • l

                                                parameters to shallower depths WAM STWAVE andSWAN operate on different grids with very different levelsof grid resolution in the nearshore affecting process resolu-tion and the depiction of bathymetry in the various modelsThis is likely the cause of some of the differences in thesolutions of the models at NDBC station 42007 and 42035Specifically the WAM grid is poorly resolved at these sta-tions where large gradients in bathymetry and wave charac-teristics occur Particular attention must be given to theinland gages where both SWAN and WAMSTWAVE per-formed poorly in proportionally based errors due to thesmall wave amplitude values The inland sample size issmall (4 gages) but the poor results indicate a deficiency in

                                                modeling waves in shallow inland waters This deficiencystems from the large sensitivity of small inland waves towater levels and bottom friction parameterization The factthat both models produce poor results and the water surfaceelevation results produced by ADCIRC which are used toforce the wave models are quite accurate (Table 6) wouldindicate that both the SWAN and WAMSTWAVE modelssuffer from poor bottom friction parameterization for shortinland wind waves

                                                43 Surge and Currents

                                                [47] Ikersquos unusually large wind field in the Gulf of Mex-ico resulted in a myriad of surge processes occurring over a

                                                Figure 16 Time series (UTC) of significant wave heights (m) at 12 CSI CHL and AK gages SWANresults are in black and STWAVE results are in red Dashed green line represents landfall time

                                                4447

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                                                [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                                                NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                                                Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4448

                                                associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                                [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                                current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                                allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                                [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                                the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                                Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4449

                                                occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                                [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                                and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                                [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                                Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4450

                                                recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                                [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                                driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                                L frac14 TffiffiffiffiffiffiffigHp

                                                4

                                                where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                                Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4451

                                                [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                                marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                                Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4452

                                                and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                                [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                                [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                                PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                                Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4453

                                                currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                                [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                                [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                                [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                                Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                                Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4454

                                                elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                                [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                                [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                                overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                                Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                                Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                                Data Source Model

                                                Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                NumberofData Sets SI Bias

                                                Number ofData Sets SI Bias

                                                Number ofData Sets SI Bias

                                                Number ofData Sets SI Bias

                                                NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                                WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                                CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                                USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                                AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4455

                                                [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                                5 Conclusions

                                                [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                                Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                                Data SourceGeographicLocation Model

                                                Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                Number ofData Sets SI Bias

                                                Number ofData Sets SI Bias

                                                Number ofData Sets SI Bias

                                                Number ofData Sets SI Bias

                                                NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                                USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                                Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                                Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                                aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                                bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                                Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4456

                                                peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4457

                                                role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                Data SourceNumber of Timeseries Data Sets SI Bias

                                                ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                Errors

                                                Number ofHWMs Slope R2

                                                Avg AbsDiff

                                                StdDev

                                                Avg AbsDiff

                                                StdDev

                                                Avg AbsDiff Std Dev

                                                AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4458

                                                Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4459

                                                Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                4460

                                                • l
                                                • l
                                                • l
                                                • l

                                                  1000 km stretch of the LATEX shelf and coast The stormsurge response is regional and depends on the geographyand orientation of the shelf and the characteristics of thestorm

                                                  [48] Due to Ikersquos large wind field and track across theGulf of Mexico easterly winds persisted over the Missis-sippi Chandeleur and Breton Sounds for over 36 h Whilethe winds over these Sounds never exceeded 20 m s1 thelong duration and steady direction allowed for effectivepenetration of surge generated over these waters and intothe lakes and marshes surrounding New Orleans (Figure 7)

                                                  NOAA gages 8761305 and 8761927 (Figures 18 and 19)located on the south shore of Lakes Borgne and Pontchar-train recorded a maximum surge level of 21 m and 18 mrespectively 15 and 7 h before landfall The similarity inthese hydrographs (with a time lag as the water movesinland) demonstrate the large-scale spatial response in theregion and the slow time scale of the response allowingLake Pontchartrain to be effectively filled To the southeastof New Orleans winds over the Chandeleur and BretonSounds forced surge into the Biloxi and CaernarvonMarshes to the east of the Mississippi River and against the

                                                  Figure 17 Time series (UTC) of peak wave period (s) at 12 CSI CHL and AK gages SWAN resultsare in black and STWAVE results are in red Dashed green line represents landfall time

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4448

                                                  associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                                  [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                                  current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                                  allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                                  [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                                  the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                                  Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4449

                                                  occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                                  [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                                  and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                                  [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                                  Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4450

                                                  recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                                  [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                                  driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                                  L frac14 TffiffiffiffiffiffiffigHp

                                                  4

                                                  where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                                  Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4451

                                                  [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                                  marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                                  Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4452

                                                  and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                                  [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                                  [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                                  PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                                  Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4453

                                                  currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                                  [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                                  [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                                  [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                                  Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                                  Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4454

                                                  elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                                  [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                                  [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                                  overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                                  Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                                  Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                                  Data Source Model

                                                  Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                  NumberofData Sets SI Bias

                                                  Number ofData Sets SI Bias

                                                  Number ofData Sets SI Bias

                                                  Number ofData Sets SI Bias

                                                  NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                                  WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                                  CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                                  USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                                  AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4455

                                                  [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                                  5 Conclusions

                                                  [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                                  Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                                  Data SourceGeographicLocation Model

                                                  Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                  Number ofData Sets SI Bias

                                                  Number ofData Sets SI Bias

                                                  Number ofData Sets SI Bias

                                                  Number ofData Sets SI Bias

                                                  NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                  CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                                  USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                  AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                                  Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                  Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                                  Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                  All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                                  aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                                  bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                                  Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4456

                                                  peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                  waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                  [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                  [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                  Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                  Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4457

                                                  role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                  [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                  [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                  [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                  modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                  [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                  ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                  model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                  Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                  Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                  Data SourceNumber of Timeseries Data Sets SI Bias

                                                  ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                  Errors

                                                  Number ofHWMs Slope R2

                                                  Avg AbsDiff

                                                  StdDev

                                                  Avg AbsDiff

                                                  StdDev

                                                  Avg AbsDiff Std Dev

                                                  AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                  aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4458

                                                  Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                  Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                  Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                  Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                  Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                  Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                  Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                  Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                  Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                  Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                  Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                  Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                  Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                  Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                  Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                  Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                  East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                  Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                  Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                  FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                  FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                  Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                  tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                  Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                  Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                  Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                  Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                  Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                  Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                  Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                  Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                  Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                  Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                  Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                  Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                  Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                  Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                  Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                  Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                  Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                  Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                  Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                  Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                  Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

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                                                  4459

                                                  Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                  Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                  Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                  Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                  Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                  Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                  Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                  Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                  4460

                                                  • l
                                                  • l
                                                  • l
                                                  • l

                                                    associated levee systems The Delta and levee systemextends far onto the continental shelf effectively capturingthe locally generated surge coming from the shallow watersto the east of the Mississippi River CHL gages 2410504Band 2410513B and CRMS gage CRMS0146-H01 (Figures20 and 21) located in the Biloxi and Caernarvon Marshesall recorded maximum surge levels of 2 m Water levelsrise as the surge is blown over the shallow Caernarvonmarsh and against the river levee south of English Turn inPlaquemines Parish where surge reached 3 m indicatingthat no attenuation in surge occurred over the CaernarvonMarsh In fact the steady winds allowed water levels toincrease across the marsh

                                                    [49] The buildup of surge to the east of the MississippiRiver combined with the lack of surge buildup to the westof the river created a water surface gradient that produced astrong current around the Delta (Figure 8) This 2 m s1

                                                    current persisted to the south of the Delta for over 24 h[50] To the west of the Delta the narrow continental shelf

                                                    allowed large swell generated in the deep Gulf to propagateclose to coastal wetlands The coast in this area experiencedslightly onshore moderate velocity (not exceeding 20 ms1) winds and when combined with the wave setup causedby large breaking waves nearshore a slow rise of water wasobserved Simulations where the wave interaction wasneglected indicated that up to 50 of storm surge on theDelta was generated by wave setup This is consistent withthe steep bathymetry in the region and previously validatedstorms [Dietrich et al 2011a 2010 Bunya et al 2010Kerr et al 2013a 2013b] USACE gage 82260 and USGS-Perm gage 292800090060000 (Figures 20 and 21) locatedin this region to the northwest of Barataria Bay recordedmaximum water levels of 2 m and 16 m respectively

                                                    [51] To the west of Barataria Bay the continental shelfprogressively broadens to over 200 km at its widest pointin the vicinity of Lakes Sabine and Calcasieu This wideshallow shelf and large scale concave coastal geography ofthe LATEX coast combined with Ikersquos steady prelandfallwinds to generate a strong long-lasting shore-parallel cur-rent (Figure 8) Figure 23 shows the location of observedcurrents on the LATEX shelf and Figures 24 and 25 showADCIRC and observed current velocity and direction On

                                                    the Louisiana shelf CSI station 3 shows a gradual increasein current speed beginning on 12 September reaching itsrecording maximum value of 1 m s1 12 h before landfallOn the Texas shelf (Figures 23ndash25) at the Texas AutomatedBuoy System (TABS) current data buoys show the devel-opment of the forerunner driving current Unfortunatelythe TABS buoys are not able to record currents in excess of1 m s1 as is seen in the plateau in the velocities As thestorm approached the steady shore-parallel current createda geostrophic setup that caused a rise in water at the coaststarting 24 h before landfall [Kennedy et al 2011a2011b] This geostrophic setup typically identified as aforerunner surge is only possible due to the strong (morethan 1 m s1) shore parallel current driven by shore parallelwinds as seen in Figures 4 8 10 and 24 The low bottomfriction and wide shelf are vital components to the largeamplitude of the forerunner Figure 7a shows 1 m of surgehas developed on the entire LATEX shelf 18 h before land-fall when winds on the coast did not exceed 20 m s1 andwere generally shore parallel or directed offshore Thisgeostrophic setup is illustrated at several gages across theLATEX coast UND Kennedy Z and Y (Figure 19) bothshow a gradual rise in water beginning early on 12 Septem-ber 2008 24 h before landfall Similar to the flooding pro-cess to the east of the Mississippi River the long time scaleof the geostrophic process allowed water to penetrate farinland Onshore in Texas TCOON gages 87704751 and87707771 (Figures 18 and 19) located inland in Lake Sab-ine and Galveston Bay respectively both recorded a rise inwater starting early on 12 September 2008 when winds atthe coast were still strongly shore-parallel or slightly off-shore These two TCOON gages are of particular interestbecause they demonstrate the inland penetration of theforerunner surge into coastal lakes and bays in advance oflandfall This early inundation only weakly affects peaksurge at the coast because the forerunner surge propagateddown the LATEX shelf prior to the landfall of the stormand the primary surge in open water is generated by land-falling shore perpendicular winds However the forerunneris critical to inland coastal estuarine and wetland areas par-ticularly regions that would later experience the strongwinds associated with landfall The early penetration

                                                    Figure 18 Locations of AK NOAA TCOON and CSI gages on the Louisiana-Texas coast AK inblack NOAA in red TCOON in blue and CSI in green Coastline is in gray and SL18TX33 boundaryand raised features in brown

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4449

                                                    occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                                    [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                                    and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                                    [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                                    Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4450

                                                    recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                                    [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                                    driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                                    L frac14 TffiffiffiffiffiffiffigHp

                                                    4

                                                    where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                                    Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4451

                                                    [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                                    marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                                    Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4452

                                                    and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                                    [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                                    [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                                    PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                                    Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4453

                                                    currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                                    [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                                    [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                                    [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                                    Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                                    Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4454

                                                    elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                                    [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                                    [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                                    overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                                    Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                                    Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                                    Data Source Model

                                                    Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                    NumberofData Sets SI Bias

                                                    Number ofData Sets SI Bias

                                                    Number ofData Sets SI Bias

                                                    Number ofData Sets SI Bias

                                                    NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                                    WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                                    CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                                    USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                                    AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4455

                                                    [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                                    5 Conclusions

                                                    [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                                    Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                                    Data SourceGeographicLocation Model

                                                    Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                    Number ofData Sets SI Bias

                                                    Number ofData Sets SI Bias

                                                    Number ofData Sets SI Bias

                                                    Number ofData Sets SI Bias

                                                    NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                    CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                                    USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                    AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                                    Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                    Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                                    Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                    All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                                    aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                                    bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                                    Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4456

                                                    peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                    waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                    [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                    [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                    Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                    Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4457

                                                    role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                    [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                    [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                    [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                    modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                    [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                    ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                    model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                    Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                    Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                    Data SourceNumber of Timeseries Data Sets SI Bias

                                                    ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                    Errors

                                                    Number ofHWMs Slope R2

                                                    Avg AbsDiff

                                                    StdDev

                                                    Avg AbsDiff

                                                    StdDev

                                                    Avg AbsDiff Std Dev

                                                    AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                    aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4458

                                                    Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                    Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                    Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                    Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                    Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                    Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                    Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                    Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                    Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                    Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                    Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                    Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                    Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                    Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                    Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                    Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                    East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                    Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                    Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                    FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                    FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                    Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                    tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                    Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                    Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                    Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                    Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                    Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                    Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                    Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                    Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                    Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                    Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                    Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                    Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                    Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                    Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                    Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                    Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                    Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                    Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                    Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                    Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                    Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4459

                                                    Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                    Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                    Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                    Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                    Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                    Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                    Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                    Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                    4460

                                                    • l
                                                    • l
                                                    • l
                                                    • l

                                                      occurs at a slow time scale and is retained by the inlandwaters after the propagation of the open water forerunnerdown the shelf toward Corpus Christi This early inlandinundation and retention exacerbated the impact of thelocally generated surge within inland coastal lakes andbays at landfall

                                                      [52] Following generation the geostrophically driven fore-runner surge propagated down the shelf as a free continentalshelf wave To the southwest of landfall the forerunner surgecan be seen in Figures 7dndash7f and 8andash8f Propagating downthe shelf the peak of the free wave reached Corpus Christi

                                                      and TCOON gage 87758701 (Figures 18 and 19) as Ike wasmaking landfall on the Bolivar Peninsula

                                                      [53] Prior to landfall (Figures 7andash7c) water levels in theregion near landfall are driven by a predominantly shore-parallel process the forerunner surge Starting in Figure7d surge at the coast of the Bolivar Peninsula has transi-tioned to a shore-normal process driven by strong shore-normal winds Figure 7d shows the buildup of water againstthe Bolivar Peninsula and Figure 7e shows the wind-drivenprogression of water over the Peninsula inland and onto thecoastal floodplain while the surge at the coast has rapidly

                                                      Figure 19 Time series (UTC) of water surface elevations (m) at 12 AK NOAA TCOON and CSIgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                      4450

                                                      recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                                      [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                                      driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                                      L frac14 TffiffiffiffiffiffiffigHp

                                                      4

                                                      where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                                      Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                      4451

                                                      [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                                      marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                                      Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                      4452

                                                      and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                                      [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                                      [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                                      PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                                      Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                      4453

                                                      currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                                      [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                                      [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                                      [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                                      Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                                      Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                      4454

                                                      elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                                      [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                                      [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                                      overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                                      Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                                      Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                                      Data Source Model

                                                      Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                      NumberofData Sets SI Bias

                                                      Number ofData Sets SI Bias

                                                      Number ofData Sets SI Bias

                                                      Number ofData Sets SI Bias

                                                      NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                                      WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                                      CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                                      USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                                      AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                      4455

                                                      [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                                      5 Conclusions

                                                      [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                                      Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                                      Data SourceGeographicLocation Model

                                                      Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                      Number ofData Sets SI Bias

                                                      Number ofData Sets SI Bias

                                                      Number ofData Sets SI Bias

                                                      Number ofData Sets SI Bias

                                                      NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                      CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                                      USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                      AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                                      Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                      Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                                      Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                      All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                                      aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                                      bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                                      Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                      4456

                                                      peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                      waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                      [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                      [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                      Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                      Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                      4457

                                                      role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                      [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                      [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                      [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                      modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                      [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                      ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                      model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                      Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                      Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                      Data SourceNumber of Timeseries Data Sets SI Bias

                                                      ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                      Errors

                                                      Number ofHWMs Slope R2

                                                      Avg AbsDiff

                                                      StdDev

                                                      Avg AbsDiff

                                                      StdDev

                                                      Avg AbsDiff Std Dev

                                                      AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                      aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                      4458

                                                      Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                      Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                      Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                      Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                      Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                      Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                      Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                      Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                      Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                      Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                      Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                      Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                      Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                      Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                      Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                      Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                      East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                      Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                      Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                      FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                      FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                      Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                      tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                      Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                      Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                      Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                      Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                      Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                      Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                      Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                      Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                      Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                      Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                      Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                      Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                      Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                      Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                      Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                      Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                      Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                      Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                      Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                      Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                      Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

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                                                      4459

                                                      Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                      Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                      Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                      Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                      Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                      Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                      Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                      Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                      4460

                                                      • l
                                                      • l
                                                      • l
                                                      • l

                                                        recessed back into open water Figure 7f shows the over-land recession process which is impeded by the persistentbut weakening shore normal winds following landfall andalso by the frictionally dominated coastal floodplain AKstations Z and Y are offshore from the Bolivar peninsulaand recorded a peak surge of 46 m and 43 m respectively(Figures 18 and 19) Onshore FEMA high water marks andUSGS-Temp gages extensively covered the area near land-fall USGS-DEPL gages USGS-DEPL_SSS-TX-GAL-001and USGS-DEPL_SSS-TX-GAL-002 were located on theGulf side and bay side of Bolivar Peninsula and recordedmaximum water levels of 48 m and 4 m respectively (Fig-ures 20 and 22) This lower bayside elevation relates to bayand inland penetration time scale lag due to frictional re-sistance Inland sides of barrier islands will typically lagbehind the open coast side due to overland frictional resist-ance and other processes such as wave radiation inducedsetup at the coast from large swell waves To the northeastof landfall a consistent water level of 5 m was measuredby USGS-DEPL gages USGS-DEPL_SSS-TX-JEF-001USGS-DEPL_SSS-TX-JEF-004 and USGS-DEPL_SSS-TX-JEF-005 (Figures 20 and 22) Further inland FEMAmeasured two still-water high water marks exceeding 51 min Jefferson County over 15 km from the coast represent-ing the highest recorded surge elevation during the event

                                                        [54] Water recessed rapidly back onto the shelf and intothe deep ocean from the almost 48 m mound of water

                                                        driven against the shore at landfall This flux of water to-ward the deep Gulf was reflected back toward the coast asan out-of-phase wave due to the abrupt bathymetric changeat the continental shelf break This process can be seenacross the LATEX coast between the Atchafalaya Basinand Galveston Island This cross-shelf reflection can beseen in Louisiana at CSI gage 03 and in Texas at AK gagesZ Y and W (Figures 18 and 19) This reflection almostcertainly relates to the shelf resonance as the post-stormsecondary and tertiary peaks occur at approximately 12 hintervals during the reflections According to Sorensen[2006] the length of an open resonant basin at the basicmode is computed as

                                                        L frac14 TffiffiffiffiffiffiffigHp

                                                        4

                                                        where L is the length of the open basin T is the resonantperiod and H is the water column depth Assuming an av-erage depth on the shelf of 30 m the resonant basin lengthis approximately 185 km This is consistent with the widthof the LATEX shelf along western Louisiana and easternTexas which varies between 160 and 220 km The 12 hresonant period of the broad LATEX shelf is also evi-denced by the strong amplification of semidiurnal tides onthis shelf [Mukai et al 2002] The fluctuating current fieldsin Figures 8dndash8f represent the signature of the cross shelfresonance

                                                        Figure 20 (a) Locations of USACE (black) USACE-CHL (red) USGS (green) CRMS (blue) andUSGS-DEPL (purple) gages on the LATEX coast (b) subset of locations shown in Figure 20a for whichhydrographs are shown Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                        4451

                                                        [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                                        marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                                        Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                        4452

                                                        and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                                        [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                                        [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                                        PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                                        Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                        4453

                                                        currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                                        [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                                        [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                                        [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                                        Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                                        Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                        4454

                                                        elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                                        [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                                        [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                                        overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                                        Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                                        Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                                        Data Source Model

                                                        Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                        NumberofData Sets SI Bias

                                                        Number ofData Sets SI Bias

                                                        Number ofData Sets SI Bias

                                                        Number ofData Sets SI Bias

                                                        NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                                        WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                                        CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                                        USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                                        AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                        4455

                                                        [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                                        5 Conclusions

                                                        [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                                        Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                                        Data SourceGeographicLocation Model

                                                        Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                        Number ofData Sets SI Bias

                                                        Number ofData Sets SI Bias

                                                        Number ofData Sets SI Bias

                                                        Number ofData Sets SI Bias

                                                        NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                        CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                                        USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                        AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                                        Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                        Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                                        Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                        All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                                        aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                                        bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                                        Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                        4456

                                                        peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                        waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                        [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                        [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                        Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                        Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                        4457

                                                        role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                        [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                        [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                        [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                        modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                        [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                        ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                        model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                        Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                        Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                        Data SourceNumber of Timeseries Data Sets SI Bias

                                                        ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                        Errors

                                                        Number ofHWMs Slope R2

                                                        Avg AbsDiff

                                                        StdDev

                                                        Avg AbsDiff

                                                        StdDev

                                                        Avg AbsDiff Std Dev

                                                        AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                        aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                        4458

                                                        Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                        Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                        Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                        Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                        Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                        Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                        Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                        Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                        Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                        Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                        Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                        Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                        Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                        Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                        Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                        Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                        East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                        Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                        Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                        FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                        FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                        Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                        tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                        Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                        Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                        Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                        Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                        Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                        Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                        Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                        Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                        Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                        Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                        Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                        Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                        Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                        Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                        Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                        Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                        Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                        Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                        Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                        Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                        Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                        4459

                                                        Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                        Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                        Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                        Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                        Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                        Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                        Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                        Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                        4460

                                                        • l
                                                        • l
                                                        • l
                                                        • l

                                                          [55] ADCIRC water surface elevations and currents arecompared to measured values at representative stations inFigures 18ndash25 To the east of the Mississippi River theADCIRC model accurately captures the rise of water in thelakes and bays surrounding New Orleans shown at NOAAgages 8761927 and 8761305 in Figures 18 and 19 The skillshown in modeling the surge generated on the MississippiSound that penetrated into Lakes Borgne and Pontchartrainindicates that the SL18TX33 model has adequate resolutionin the small scale channels and passes hydraulically con-necting the sound and lakes In the Biloxi and Caernarvon

                                                          marshes the early rise in water and associated inland pene-tration process are captured by the model shown at CHLgages 2410513B and 2410504B (Figures 20 and 21)ADCIRC slightly overpredicts the peak surge at CRMSgage CRMS_CRMS0146-H01 in the Caernarvon Marsh(Figures 20 and 21) however based on the recorded datait appears that the gage has an upper limit of measurementof 2 m Model accuracy in this region indicates that the uni-versally applied air-sea drag and bottom friction in marshesand wetlands in the region are correctly parameterizedbecause the peaks are correctly captured and the flooding

                                                          Figure 21 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                          4452

                                                          and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                                          [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                                          [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                                          PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                                          Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                          4453

                                                          currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                                          [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                                          [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                                          [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                                          Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                                          Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                          4454

                                                          elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                                          [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                                          [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                                          overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                                          Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                                          Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                                          Data Source Model

                                                          Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                          NumberofData Sets SI Bias

                                                          Number ofData Sets SI Bias

                                                          Number ofData Sets SI Bias

                                                          Number ofData Sets SI Bias

                                                          NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                                          WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                                          CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                                          USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                                          AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                          4455

                                                          [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                                          5 Conclusions

                                                          [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                                          Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                                          Data SourceGeographicLocation Model

                                                          Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                          Number ofData Sets SI Bias

                                                          Number ofData Sets SI Bias

                                                          Number ofData Sets SI Bias

                                                          Number ofData Sets SI Bias

                                                          NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                          CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                                          USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                          AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                                          Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                          Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                                          Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                          All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                                          aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                                          bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                                          Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                          4456

                                                          peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                          waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                          [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                          [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                          Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                          Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                          4457

                                                          role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                          [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                          [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                          [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                          modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                          [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                          ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                          model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                          Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                          Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                          Data SourceNumber of Timeseries Data Sets SI Bias

                                                          ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                          Errors

                                                          Number ofHWMs Slope R2

                                                          Avg AbsDiff

                                                          StdDev

                                                          Avg AbsDiff

                                                          StdDev

                                                          Avg AbsDiff Std Dev

                                                          AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                          aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                          4458

                                                          Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                          Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                          Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                          Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                          Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                          Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                          Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                          Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                          Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                          Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                          Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                          Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                          Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                          Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                          Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                          Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                          East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                          Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                          Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                          FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                          FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                          Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                          tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                          Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                          Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                          Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                          Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                          Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                          Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                          Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                          Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                          Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                          Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                          Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                          Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                          Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                          Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                          Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                          Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                          Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                          Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                          Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                          Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                          Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

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                                                          4459

                                                          Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                          Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                          Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                          Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                          Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                          Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                          Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                          Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                          4460

                                                          • l
                                                          • l
                                                          • l
                                                          • l

                                                            and recession curves in this slow process are also well rep-resented During the recession of surge from the marshesbottom friction is the controlling process in the shallowoverland flow that occurs

                                                            [56] To the west of the Delta the complex interaction oflarge swell waves breaking nearshore shore-normal windsand a strong shore-parallel current is captured with a slightunderprediction of peak surge at USACE gage 82260 (Fig-ures 20 and 21)

                                                            [57] The forerunner surge is a shelf scale process that iseffectively captured by ADCIRC as shown at gages USGS-

                                                            PERM_07381654 USGS-DEPL_SSS-LA-VER-006 USGS-DEPL_SSS-LA-CAM-003 and USGS-DEPL_SSS-TX-GAL-002 AK gages Z Y W V and U and TCOON gages87704751 and 87707771 (Figures 18ndash20 and 22) but themodeled rise in water is slightly lower than the measureddata at some gages The model lag is most pronounced atgages AK Z and Y (Figures 18 and 19) This is also seen atTABS station B (Figures 23 and 24) where we note thatbetween 3 and 15 h UTC on 12 September there is an under-prediction in the shore parallel current speed by ADCIRCThis lag in forerunner surface elevations and the associated

                                                            Figure 22 Time series (UTC) of water surface elevations (m) at 12 USACE CHL USGS and CRMSgages ADCIRC output in black observation data in gray Dashed green line represents landfall time

                                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                            4453

                                                            currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                                            [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                                            [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                                            [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                                            Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                                            Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                            4454

                                                            elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                                            [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                                            [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                                            overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                                            Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                                            Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                                            Data Source Model

                                                            Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                            NumberofData Sets SI Bias

                                                            Number ofData Sets SI Bias

                                                            Number ofData Sets SI Bias

                                                            Number ofData Sets SI Bias

                                                            NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                                            WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                                            CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                                            USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                                            AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                            4455

                                                            [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                                            5 Conclusions

                                                            [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                                            Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                                            Data SourceGeographicLocation Model

                                                            Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                            Number ofData Sets SI Bias

                                                            Number ofData Sets SI Bias

                                                            Number ofData Sets SI Bias

                                                            Number ofData Sets SI Bias

                                                            NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                            CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                                            USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                            AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                                            Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                            Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                                            Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                            All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                                            aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                                            bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                                            Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                            4456

                                                            peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                            waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                            [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                            [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                            Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                            Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                            4457

                                                            role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                            [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                            [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                            [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                            modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                            [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                            ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                            model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                            Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                            Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                            Data SourceNumber of Timeseries Data Sets SI Bias

                                                            ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                            Errors

                                                            Number ofHWMs Slope R2

                                                            Avg AbsDiff

                                                            StdDev

                                                            Avg AbsDiff

                                                            StdDev

                                                            Avg AbsDiff Std Dev

                                                            AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                            aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                            4458

                                                            Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                            Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                            Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                            Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                            Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                            Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                            Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                            Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                            Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                            Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                            Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                            Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                            Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                            Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                            Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                            Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                            East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                            Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                            Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                            FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                            FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                            Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                            tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                            Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                            Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                            Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                            Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                            Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                            Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                            Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                            Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                            Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                            Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                            Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                            Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                            Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                            Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                            Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                            Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                            Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                            Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                            Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                            Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                            Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                            4459

                                                            Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                            Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                            Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                            Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                            Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                            Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                            Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                            Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                            HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                            4460

                                                            • l
                                                            • l
                                                            • l
                                                            • l

                                                              currents is likely associated with the low bias in the OWIwinds during this time in the region as seen at stationsTCOON 87710131 and 87713411 (Figures 9 and 10) Theforerunner surge process is reliant on the generation of thesteady strong shore-parallel current necessary for geostro-phic setup Due to the cap on the measured currents on theshelf at the CSI and TCOON gages it cannot be determinedif ADCIRC accurately modeled the peak currents howevergood agreement is seen between ADCIRC and observedvelocities during most of the storm (Figures 23ndash25)ADCIRC also accurately captures the change in currentdirection as Ike moved across the shelf with an exception atTABS B to the southwest of landfall where ADCIRC failedto model the quick change in direction that occurred right atlandfall Note that on the shelf currents are likely quite uni-form over depth due to the vigorous wave induced verticalmixing [Mitchell et al 2005 Sullivan et al 2012]

                                                              [58] The propagation of the free wave down the coast iscaptured by ADCIRC as seen at TCOON station 87758701and AK stations V and U (Figures 18 and 19) In additionthe currents generated by the shelf wave are well repre-sented in the model as is shown by the comparisons atTABS station W (Figures 23ndash25)

                                                              [59] To the northeast of landfall where the maximumsurge levels occur ADCIRC accurately models the peakshore normal wind-driven surge ADCIRC shows goodagreement to peak surge offshore at AK stations Z and Yand inland at stations USGS-DEPL_SSS-TEX-JEF-005USGS-DEPL_SSS-TEX-JEF-004 USGS-DEPL_SSS-TX-JEF-001 USGS-DEPL_SSS-TX-GAL-001 and USGS-DEPL_SSS-TX-GAL-002 (Figures 18ndash20 and 22)

                                                              [60] The 12 h resonant wave on the LATEX shelf result-ing from coastal surge waters recessing into the deep Gulfis captured by ADCIRC This is seen at water surface

                                                              Figure 23 Locations of CSI and TABS stations on the Louisiana-Texas coast TABS in black CSI inred coastline is gray Hurricane Ikersquos track in black and SL18TX33 boundary and raised features inbrown

                                                              Figure 24 Time series (UTC) of current velocities (m s1) at CSI and TABS stations ADCIRC outputin black observation data in gray and dashed green line represents landfall time

                                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                              4454

                                                              elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                                              [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                                              [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                                              overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                                              Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                                              Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                                              Data Source Model

                                                              Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                              NumberofData Sets SI Bias

                                                              Number ofData Sets SI Bias

                                                              Number ofData Sets SI Bias

                                                              Number ofData Sets SI Bias

                                                              NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                                              WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                                              CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                                              USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                                              AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                              4455

                                                              [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                                              5 Conclusions

                                                              [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                                              Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                                              Data SourceGeographicLocation Model

                                                              Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                              Number ofData Sets SI Bias

                                                              Number ofData Sets SI Bias

                                                              Number ofData Sets SI Bias

                                                              Number ofData Sets SI Bias

                                                              NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                              CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                                              USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                              AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                                              Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                              Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                                              Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                              All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                                              aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                                              bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                                              Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                              4456

                                                              peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                              waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                              [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                              [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                              Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                              Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                              4457

                                                              role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                              [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                              [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                              [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                              modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                              [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                              ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                              model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                              Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                              Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                              Data SourceNumber of Timeseries Data Sets SI Bias

                                                              ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                              Errors

                                                              Number ofHWMs Slope R2

                                                              Avg AbsDiff

                                                              StdDev

                                                              Avg AbsDiff

                                                              StdDev

                                                              Avg AbsDiff Std Dev

                                                              AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                              aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                              4458

                                                              Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                              Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                              Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                              Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                              Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                              Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                              Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                              Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                              Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                              Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                              Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                              Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                              Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                              Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                              Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                              Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                              East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                              Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                              Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                              FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                              FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                              Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                              tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                              Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                              Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                              Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                              Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                              Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                              Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                              Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                              Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                              Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                              Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                              Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                              Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                              Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                              Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                              Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                              Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                              Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                              Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                              Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                              Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                              Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                              4459

                                                              Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                              Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                              Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                              Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                              Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                              Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                              Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                              Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                              HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                              4460

                                                              • l
                                                              • l
                                                              • l
                                                              • l

                                                                elevations at AK stations Y and Z (Figures 18 and 19) andTABS current stations B and F (Figures 23ndash25)

                                                                [61] Maximum high water during the storm event is pre-sented in Figure 26 A spatial analysis of differencesbetween measured and modeled maximum high water atthe 206 FEMA HWMs and at 393 hydrograph-derived highwater values is shown in Figure 27 A comparison of modelto measurement high water at these same 599 locations isshown in Figure 28

                                                                [62] Table 6 summarizes the SI and bias of ADCIRCmodel results to recorded data for time series of water lev-els The overall time series scatter index (SI) equals01463 and indicates generally good agreement with thedata The bias of 00114 m indicates globally a smallunderprediction of water levels by ADCIRC Examiningboth time series and HWM error statistics in Table 6 indi-cates that coastal stations are generally more accuratelyhindcast than inland stations Coastal stations are slightly

                                                                overpredicted while inland stations are slightly biasedlow This is due to the general geographic simplicitylarger depths and homogeneity of frictional resistance ofthe open coast as compared to the nearshore and espe-cially floodplain As hurricane-driven storm surgeencroaches inland any number of complexities includingtopography bathymetry heterogeneous frictional resist-ance and subgrid scale impedances to flow can be foundsignificantly complicating the flow The poorest R2 valueis found at the CRMS stations (06833) The CRMS gagesare located in Louisiana with the majority of stationslocated in inland marshes Water levels in inland marshesare highly dependent on the level of connectivity tocoastal water bodies and while the SL18TX33 mesh accu-rately represents major channels and connections avail-able bathymetric and topographic data is not of highenough resolution to properly represent all relevantconnections

                                                                Figure 25 Time series (UTC) of current direction () at CSI and TABS stations ADCIRC output inblack observation data in gray and dashed green line represents landfall time

                                                                Table 4 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Series for All Data Stations in a Modelrsquos Geo-graphic Coverage

                                                                Data Source Model

                                                                Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                                NumberofData Sets SI Bias

                                                                Number ofData Sets SI Bias

                                                                Number ofData Sets SI Bias

                                                                Number ofData Sets SI Bias

                                                                NDBC WAM 10 01893 00737 10 01571 00410 9 01248 00780 7 04379 07207STWAVE 1 01871 01870 1 01271 00011 1 00812 01463 1 01638 01348

                                                                WAMSTWAVE 11 01891 00840 11 01544 00373 10 01204 00556 8 04037 06475SWAN 13 02150 01031 13 02034 01265 13 01138 01177 9 02209 01364

                                                                CSI STWAVE 4 01764 02641 4 01384 00678 4 01939 03831 0 na naSWAN 5 01478 01393 5 01601 00851 5 02106 03376 2 02197 01934

                                                                USACE-CHL STWAVE 4 04252 04632 4 09701 11156 4 15295 03000SWAN 5 08827 07621 5 04844 02645 5 28319 03580

                                                                AK STWAVE 8 02421 01727 8 01380 01597SWAN 8 02892 01807 8 02156 01497

                                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                4455

                                                                [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                                                5 Conclusions

                                                                [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                                                Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                                                Data SourceGeographicLocation Model

                                                                Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                                Number ofData Sets SI Bias

                                                                Number ofData Sets SI Bias

                                                                Number ofData Sets SI Bias

                                                                Number ofData Sets SI Bias

                                                                NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                                CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                                                USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                                AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                                                Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                                Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                                                Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                                All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                                                aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                                                bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                                                Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                4456

                                                                peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                                waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                                [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                                [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                                Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                                Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                4457

                                                                role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                                [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                                [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                                [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                                modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                                [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                                ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                                model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                                Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                                Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                                Data SourceNumber of Timeseries Data Sets SI Bias

                                                                ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                                Errors

                                                                Number ofHWMs Slope R2

                                                                Avg AbsDiff

                                                                StdDev

                                                                Avg AbsDiff

                                                                StdDev

                                                                Avg AbsDiff Std Dev

                                                                AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                                aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                4458

                                                                Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                                Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                                Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                                Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                                Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                                Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                                Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                                Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                                Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                                Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                                Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                                Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                                Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                                Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                                Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                                Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                                East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                                Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                                Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                                FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                                FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                                Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                                tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                                Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                                Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                                Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                                Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                                Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                                Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                                Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                                Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                                Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                                Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                                Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                                Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                                Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                                Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                                Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                                Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                                Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                                Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                                Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                                Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                                Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                4459

                                                                Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                                Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                                Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                                Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                                Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                                Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                                Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                                Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                                HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                4460

                                                                • l
                                                                • l
                                                                • l
                                                                • l

                                                                  [63] Figure 27 indicates that there is a small low bias insoutheastern Louisiana and a small high bias to the east ofthe storm track in southwestern Louisiana and easternTexas It is also important to note that the OWI HWINDIOKA blended winds utilized by ADCIRC are consideredthe best available representation of Ikersquos wind field butmay lack small-scale localized variations that may influ-ence local water levels In summary the overall ScatterIndex of 01463 bias of 00114 estimated ADCIRCHWM indicators of R2frac14 091 absolute average differenceof 017 m (equal to 012 m once measured HWM error esti-mates are incorporated) 94 of modeled HWMs within 50cm of measured HWMs and standard deviation of 022 m(equal to 019 m once measured HWM error estimates areincorporated) support the accuracy of this hindcast espe-cially for a storm with maximum high water levels exceed-ing 5 m

                                                                  5 Conclusions

                                                                  [64] Hurricane Ike made landfall as a strong category 2storm at Galveston TX Due to Ikersquos large wind field andthe LATEX shelf and the coastrsquos unique geography a num-ber of regional and shelf-scale processes occurred beforeduring and after landfall The extensive data set collectedduring Ike captures the multitude of processes that occurredduring Ike on the LATEX shelf and coast and provides avaluable opportunity to validate the ADCIRC SWAN andWAMSTWAVE models to measured data In the deepGulf Ike produced significant wave heights exceeding 15m that radiated from the stormrsquos center and transformedupon reaching the continental shelf At deep water NDBCstations WAM and SWAN performed comparably for allerror measures with the exception of mean wave directionfor which SWAN outperformed WAM As the swell propa-gates across the shelf SWAN shows a lag in the arrival of

                                                                  Table 5 Summary of Scatter Index (SI) and Normalized Error Bias for Wave Data Time Seriesa

                                                                  Data SourceGeographicLocation Model

                                                                  Sig Wave Height Peak Wave Period Mean Wave Period Mean Wave Direction

                                                                  Number ofData Sets SI Bias

                                                                  Number ofData Sets SI Bias

                                                                  Number ofData Sets SI Bias

                                                                  Number ofData Sets SI Bias

                                                                  NDBC WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                                  CSI WAMSTWAVE 4 01951 02641 4 01384 00678 4 01939 03831SWAN 01416 01221 02002 01343 02200 03243

                                                                  USACE-CHL WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                                  AK WAMSTWAVE 8 02421 01727 8 01380 01597SWAN 02892 01807 02156 01497

                                                                  Deep Water WAMSTWAVE 1110b 01891 00840 1110b 01544 00373 109b 01204 00556 87b 04037 06475SWAN 01809 00465 01725 00456 01102 00385 02449 00177

                                                                  Coastal Water WAMSTWAVE 12 02264 02032 12 01382 01290 4 01939 03831SWAN 02400 01611 02105 01446 02200 03243

                                                                  Inland WAMSTWAVE 4 04652 04632 4 09701 11156 4 15295 03000SWAN 05201 08589 04638 03024 18304 03125

                                                                  All WAMSTWAVE 2726b 02466 01247 2726b 02680 02378 1817b 04499 00493 87b 04037 06475SWAN 02603 02244 02348 01308 05407 00231 02449 00177

                                                                  aStatistics incorporate only stations that are shared between at least two model geographic coverages Bolded and italicized model name indicateswhich model was active within a data set Data sets are grouped geographically as follows Deep Water NDBC Coastal Water AK amp CSI and InlandUSACE-CHL

                                                                  bOne station NDBC 42007 lies within both the WAM and STWAVE model domains Consequentially for WAMSTWAVE statistics an additionaldata set is used in the computation of statistics

                                                                  Figure 26 Extent and elevation of storm event maximum water levels (m) on the LATEX Coast dur-ing Hurricane Ike

                                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                  4456

                                                                  peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                                  waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                                  [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                                  [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                                  Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                                  Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                  4457

                                                                  role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                                  [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                                  [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                                  [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                                  modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                                  [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                                  ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                                  model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                                  Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                                  Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                                  Data SourceNumber of Timeseries Data Sets SI Bias

                                                                  ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                                  Errors

                                                                  Number ofHWMs Slope R2

                                                                  Avg AbsDiff

                                                                  StdDev

                                                                  Avg AbsDiff

                                                                  StdDev

                                                                  Avg AbsDiff Std Dev

                                                                  AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                                  aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                  4458

                                                                  Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                                  Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                                  Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                                  Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                                  Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                                  Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                                  Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                                  Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                                  Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                                  Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                                  Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                                  Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                                  Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                                  Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                                  Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                                  Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                                  East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                                  Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                                  Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                                  FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                                  FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                                  Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                                  tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                                  Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                                  Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                                  Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                                  Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                                  Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                                  Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                                  Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                                  Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                                  Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                                  Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                                  Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                                  Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                                  Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                                  Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                                  Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                                  Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                                  Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                                  Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                                  Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                                  Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                                  Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                  4459

                                                                  Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                                  Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                                  Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                                  Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                                  Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                                  Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                                  Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                                  Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                                  HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                  4460

                                                                  • l
                                                                  • l
                                                                  • l
                                                                  • l

                                                                    peak wave heights indicating a small artificial retardationof swell on the continental shelf This retardation has beenshown to be heavily dependent on bottom friction In thesensitivity tests it was determined that the Madsen formu-lation utilized by SWAN requires the minimum Manningrsquosn to be set equal to 002 avoiding unrealistically smallroughness lengths A minimum Manning n value gt002does not allow for accurate swell propagation Effectivewave breaking is seen in coastal marshes where waveheights are severely limited by bottom friction and shallowwater column depths Model performance in these shallowmarsh areas is in a relative sense worse than in deep andcoastal waters although the waves are small here and abso-lute error measures are correspondingly small Howeverthe errors do reflect the sensitivity of waves in shallow

                                                                    waters to bottom friction and water levels A thorough ex-amination of bottom friction and its influence on wavemodels in shallow marsh regions would assist in betterparameterizing the role of bottom friction in nearshorephysical processes in wave models The SWAN modeloffers a multitude of bottom friction parameterizations ofwhich the Madsen formulation was selected for this studybased on previous success in validating Gulf of Mexicohurricanes [Dietrich et al 2011a 2012b] An in depthstudy of the modelrsquos sensitivity to other bottom frictionparameterizations may provide insight into better treatmentof bottom friction in complex wave environments such asthose seen in Ike [Kerr et al 2013a 2013b]

                                                                    [65] As Ike progressed across the Gulf steady and mod-erate intensity winds over the Mississippi Chandeleur andBreton Sounds persisted for over 36 h These persistentwinds drove surge into the lakes bays and marshes sur-rounding New Orleans ADCIRCrsquos capture of the surgersquosgrowth peak and recession in this area indicates the mod-elrsquos data driven parameterization of air-sea drag and bottomfriction in marsh and wetland-type areas is accurate To thewest of the Mississippi River Birdrsquos Foot Delta ADCIRCaccurately captures the complex interaction of a strong sur-face water level gradient driven current shore normal winddriven surge and large wave breaking nearshore drivensetup

                                                                    [66] The strong shore parallel current on the LATEXshelf produced by Ikersquos large wind field drove a forerunnersurge that increased water levels at the coast and intohydraulically connected inland lakes and bays well beforelandfall While this forerunner surge propagated to thesouthwest along the LATEX shelf and had little effect onthe peak surge in open waters in Louisiana and easternTexas it had a significant impact on high water marks con-tained in hydraulically connected inland water bodiesADCIRC captures this shelf scale process with a slightunder prediction in the early rise of water at the coast andconsequently water levels lag in the coastal lakes and baysThis slight underprediction appears to be associated with alow bias in the shore parallel winds in the region duringthis prelandfall phase of the storm Advection also plays a

                                                                    Figure 27 Spatial analysis of high water marks in Louisiana and Texas Green represents points atwhich modeled water level was within 05 m of measured water level Redyellow represent points whereSWANthornADCIRC overpredicted water levels bluepurple represent points where SWANthornADCIRCunder-predicted water levels Coastline is in gray and SL18TX33 boundary and raised features in brown

                                                                    Figure 28 Scatterplot of high water marks presented inFigure 27 Y axis is modeled HWMs plotted against meas-ured HWMs on the X axis

                                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                    4457

                                                                    role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                                    [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                                    [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                                    [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                                    modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                                    [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                                    ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                                    model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                                    Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                                    Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                                    Data SourceNumber of Timeseries Data Sets SI Bias

                                                                    ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                                    Errors

                                                                    Number ofHWMs Slope R2

                                                                    Avg AbsDiff

                                                                    StdDev

                                                                    Avg AbsDiff

                                                                    StdDev

                                                                    Avg AbsDiff Std Dev

                                                                    AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                                    aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                    4458

                                                                    Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                                    Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                                    Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                                    Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                                    Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                                    Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                                    Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                                    Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                                    Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                                    Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                                    Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                                    Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                                    Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                                    Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                                    Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                                    Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                                    East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                                    Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                                    Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                                    FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                                    FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                                    Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                                    tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                                    Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                                    Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                                    Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                                    Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                                    Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                                    Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                                    Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                                    Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                                    Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                                    Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                                    Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                                    Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                                    Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                                    Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                                    Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                                    Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                                    Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                                    Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                                    Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                                    Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                                    Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                    4459

                                                                    Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                                    Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                                    Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                                    Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                                    Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                                    Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                                    Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                                    Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                                    HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                    4460

                                                                    • l
                                                                    • l
                                                                    • l
                                                                    • l

                                                                      role in the forerunner generation as has been shown byKerr et al [2013a 2013b] Additionally a flow regime-based bottom friction similar to that applied in riverineenvironments in Martyr et al [2012] may further enhancethe early generation of the forerunner surge

                                                                      [67] Following generation by shore parallel winds theforerunner surge propagated down the Texas shelf as a freecontinental shelf wave that reached Corpus Christi as Ikemade landfall This shelf wave is modeled by ADCIRCbut slightly lags in its propagation down the coast This islikely related to the slight low bias in the generation of theforerunner ADCIRC also accurately represents the peaksurge and positive inland water level gradient seen over theBolivar peninsula As Ike made landfall maximum windsimpacted inland lakes and bays that were still filled withadditional water from the forerunner surge An R2 value of091 when comparing all measured high water marks tomodeled high water marks indicates ADCIRCrsquos high levelof skill in modeling peak water levels Overall opencoastal water levels were better predicted than inland val-ues The large role that small-scale features and bottomfriction can play in the flooding and recession processesparticularly in complex coastal marshes and wetlands war-rants studies that further improve resolution in addition toimproved bottom and lateral friction parameterizations

                                                                      [68] Diminishing winds following landfall allowed for therelease of water driven against the coast back toward thedeep Gulf When the mass of water pushed against the coastduring landfall was released by slowing winds it wasreflected by the abrupt bathymetric change at the continentalshelf break resulting in a cross-shelf resonant wave with aperiod of 12 h This cross-shelf resonant process is capturedin ADCIRC Surge driven into inland water bodies andcoastal wetlands experienced a prolonged recession processdominated by bottom friction that occurred over a much lon-ger time scale than the surge that developed in open water

                                                                      [69] ADCIRCrsquos performance when compared to thewealth of data collected during the storm demonstrates this

                                                                      modelrsquos ability to effectively model basin and regionalscale storm surge processes and the SL18TX33 computa-tional domainrsquos accurate portrayal of the complex LATEXshelf and coast This performance can be quantified by anoverall SI of 01463 and bias of 00114 m for 523 meas-ured water level time series and an estimated average abso-lute difference of 012 m for 599 measured high watermarks including 94 of modeled high water marks within050 m of the measured value (Figure 28 and Table 6)These qualitative assessments are similar to those found inother studies of Hurricane Ike utilizing ADCIRC and theSL18TX33 domain [Kerr et al 2013a 2013b]

                                                                      [70] Acknowledgments This project was supported by NOAA viathe US IOOS Office (NA10NOS0120063 and NA11NOS0120141) andwas managed by the Southeastern Universities Research Association theUS Army Corps of Engineers New Orleans District the Department ofHomeland Security (2008-ST-061-ND0001) and the Federal EmergencyManagement Agency Region 6 The National Science Foundation (OCI-0746232) supported ADCIRC and SWAN model development Computa-tional facilities were provided by the US Army Engineer Research andDevelopment Center Department of Defense Supercomputing ResourceCenter The University of Texas at Austin Texas Advanced ComputingCenter The Extreme Science and Engineering Discovery Environment(XSEDE) which is supported by National Science Foundation grantOCI-1053575 Permission to publish this paper was granted by the Chief ofEngineers US Army Corps of Engineers The views and conclusions con-tained in this document are those of the authors and should not be inter-preted as necessarily representing the official policies either expressed orimplied of the US Department of Homeland Security The authors thankProfessor Chunyan Li and the Coastal Studies Institute at Louisiana StateUniversity for providing the CSI water level and current data

                                                                      ReferencesAmante C and B W Eakins (2009) ETOPO1 1 arc-minute global relief

                                                                      model Procedures data sources and analysis NOAA Tech Memo NES-DIS NGDC-24 19 pp Natl Geophys Data Cent Boulder Colo

                                                                      Battjes J A and J P F M Janssen (1978) Energy loss and set-up due tobreaking of random waves in Proceedings of 16th International Confer-ence on Coastal Engineering Am Soc of Civ Eng HamburgGermany

                                                                      Table 6 Summary of ADCIRC Water Levels for All Measured Water Level Dataa

                                                                      Data SourceNumber of Timeseries Data Sets SI Bias

                                                                      ADCIRC to Measured HWMs Measured HWMsEstimated ADCIRC

                                                                      Errors

                                                                      Number ofHWMs Slope R2

                                                                      Avg AbsDiff

                                                                      StdDev

                                                                      Avg AbsDiff

                                                                      StdDev

                                                                      Avg AbsDiff Std Dev

                                                                      AK 8 02409 00887 8CSI 5 01771 00281 2NOAA 37 01137 00470 29 09710 09566 01458 01799USACE-CHL 6 02409 00517 5USACE 38 01111 00133 33 09896 08842 01575 02061USGS-Depl 50 01091 00413 40 10066 09704 01710 02098 00300 04898 01410 02040USGS-PERM 33 01086 01433 24 09329 09144 01941 01938CRMS 321 01651 00251 235 09727 06883 01785 02260 00491 01007 01293 02024TCOON 25 01080 00825 17 10016 09755 00988 01246FEMA 206 09850 08497 02845 03575 01249 02331 01596 02711Inland 448 01497 00235 543 09790 08186 01786 02250 00511 01093 01275 01967Coastal 75 01260 00606 56 10294 09426 01156 01457 00650 01216 00506 00802All 523 01463 00114 599 09844 09083 01727 02176 00524 01104 01203 01858

                                                                      aScatter index and bias were calculated for time series only Average absolute difference and standard deviation have units of meters To accuratelydetermine error in measurements sets must contain at least 10 HWMs and be hydraulically connected and spatially limited Not all time series containedusable HWM data Inland data are defined by data sets USACE-CHL USACE USGS-Depl USGS-Perm and CRMS Coastal data are defined by datasets AK CSI NOAA and TCOON

                                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                      4458

                                                                      Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                                      Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                                      Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                                      Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                                      Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                                      Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                                      Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                                      Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                                      Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                                      Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                                      Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                                      Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                                      Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                                      Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                                      Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                                      Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                                      East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                                      Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                                      Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                                      FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                                      FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                                      Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                                      tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                                      Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                                      Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                                      Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                                      Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                                      Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                                      Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                                      Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                                      Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                                      Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                                      Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                                      Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                                      Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                                      Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                                      Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                                      Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                                      Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                                      Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                                      Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                                      Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                                      Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                                      Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                      4459

                                                                      Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                                      Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                                      Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                                      Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                                      Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                                      Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                                      Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                                      Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                                      HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                      4460

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                                                                        Battjes J A and M J F Stive (1985) Calibration and verification of adissipation model for random breaking waves J Geophys Res 90(C5)9159ndash9167 doi101029JC090iC05p09159

                                                                        Bender C J M Smith A B Kennedy and R Jensen (2013) STWAVEsimulation of Hurricane Ike Model results and comparison to dataCoastal Eng 73 58ndash70 doi101016jcoastaleng201210003

                                                                        Berg R (2009) Tropical Cyclone Report Hurricane Ike 1ndash14 Sep pp55 NOAANational Hurricane Cent Miami Fla

                                                                        Booij N R C Ris and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 1 Model description and validation J Geo-phys Res 104(C4) 7649ndash7666 doi10102998JC02622

                                                                        Bretschneider C L H J Krock E Nakazaki and F M Casciano (1986)Roughness of typical Hawaiian terrain for tsunami run-up calculationsA users manual J K K Look Lab Rep Univ of Hawaii HonoluluHawaii

                                                                        Buczkowski B J J A Reid C J Jenkins J M Reid S J Williams andJ G Flocks (2006) usSEABED Gulf of Mexico and Caribbean (PuertoRico and US Virgin Islands) offshore surficial sediment data releaseUS Geological Survey Data Series 146 version 10 US Geol SurvReston Va

                                                                        Bunya S et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part I Model development and validation Mon Weather Rev138 345ndash377 doi1011752009MWR29061

                                                                        Cardone V J and A T Cox (2009) Tropical cyclone wind field forcingfor surge models Critical issues and sensitivities Nat Hazards 51 29ndash47 doi101007s11069-009-9369-0

                                                                        Cavaleri L and P M Rizzoli (1981) Wind wave prediction in shallowwater Theory and applications J Geophys Res 86(C11) 10961ndash10973 doi101029JC086iC11p10961

                                                                        Cox A T J A Greenwood V J Cardone and V R Swail (1995) Aninteractive objective kinematic analysis system paper presented at theFourth International Workshop on Wave Hindcasting and ForecastingBanff Alberta

                                                                        Dawson C J J Westerink J C Feyen and D Pothina (2006) Continu-ous discontinuous and coupled discontinuous-continuous Galerkin finiteelement methods for the shallow water equations Int J Numer Meth-ods Fluids 52(1) 63ndash88 doi101002fld1156

                                                                        Dietrich J C et al (2010) A high-resolution coupled riverine flow tidewind wind wave and storm surge model for southern Louisiana and Mis-sissippi Part IImdashSynoptic description and analysis of HurricanesKatrina and Rita Mon Weather Rev 138(2) 378ndash404 doi1011752009MWR29071

                                                                        Dietrich J C et al (2011a) Hurricane Gustav (2008) waves and stormsurge Hindcast synoptic analysis and validation in southern Louisi-ana Mon Weather Rev 139(8) 2488ndash2522 doi 1011752011MWR36111

                                                                        Dietrich J C M Zijlema J J Westerink L H Holthuijsen C N Daw-son R A Luettich Jr R E Jensen J M Smith G S Stelling and GW Stone (2011b) Modeling hurricane waves and storm surge usingintegrally-coupled scalable computations Coastal Eng 58(1) 45ndash65doi101016jcoastaleng201008001

                                                                        Dietrich J C et al (2012a) Limiters for spectral propagation velocities inSWAN Ocean Modell 70 85ndash102 doi101016jocemod201211005

                                                                        Dietrich J C S Tanaka J J Westerink C N Dawson R A Luettich JrM Zijlema L H Holthuijsen J M Smith L G Westerink and H JWesterink (2012b) Performance of the unstructured-mesh SWANthornADCIRC model in computing hurricane waves and surge J Sci Com-put 52 468ndash497 doi101007s10915-011-9555-6

                                                                        East J W M J Turco and R R Mason Jr (2008) Monitoring inlandstorm surge and flooding from Hurricane Ike in Texas and LouisianaSeptember 2008 US Geol Surv Open File Rep 2008-1365

                                                                        Egbert G D A F Bennett and M G G Foreman (1994) TOPEXPOS-EIDON tides estimated using a global inverse model J Geophys Res99(C12) 24821ndash24852 doi10102994JC01894

                                                                        Egbert G D and S Y Erofeeva (2002) Efficient inverse modeling ofbarotropic ocean tides J Atmos Oceanic Technol 19(2) 183ndash204doi1011751520-0426(2002)019lt0183EIMOBOgt20CO2

                                                                        FEMA (2008) Texas Hurricane Ike rapid response coastal high water markcollection FEMA-1791-DR-Texas Washington D C

                                                                        FEMA (2009) Louisiana Hurricane Ike coastal high water mark data col-lection FEMA-1792-DR-Louisiana Washington D C

                                                                        Garster J K B Bergen and D Zilkoski (2007) Performance evaluationof the New Orleans and Southeast Louisiana hurricane protection sys-

                                                                        tem Vol IImdashGeodetic vertical and water level datums Final Report ofthe Interagency Performance Evaluation Task Force US Army Corpsof Eng Washington D C 157 pp

                                                                        Geurounther H (2005) WAM cycle 45 version 20 Inst for Coastal ResGKSS Res Cent Geesthacht Germany

                                                                        Hanson J L B A Tracy H L Tolman and R D Scott (2009) Pacifichindcast performance of three numerical wave models J Atmos Oce-anic Technol 26(8) 1614ndash1633 doi1011752009JTECHO6501

                                                                        Kennedy A B U Gravois B Zachry R A Luettich T Whipple RWeaver J Reynolds-Fleming Q J Chen and R Avissar (2010) Rap-idly installed temporary gauging for waves and surge during HurricaneGustav Cont Shelf Res 30(16) 1743ndash1752 doi 101016jcsr201007013

                                                                        Kennedy A B U Gravois B C Zachry J J Westerink M E Hope JC Dietrich M D Powell A T Cox R A Luettich Jr and R G Dean(2011a) Origin of the Hurricane Ike forerunner surge Geophys ResLett 38 L08608 doi1010292011GL047090

                                                                        Kennedy A B U U Gravois and B Zachry (2011b) Observations oflandfalling wave spectra during Hurricane Ike J Waterw Port CoastalOcean Eng 137(3) 142ndash145 doi101061(ASCE)WW1943ndash54600000081

                                                                        Kerr P C et al (2013a) Surge generation mechanisms in the lower Mis-sissippi River and discharge dependency J Waterw Port Coastal OceanEng 139 326ndash335 doi101061(ASCE)WW1943ndash54600000185

                                                                        Kolar R L J J Westerink M E Cantekin and C A Blain (1994)Aspects of nonlinear simulations using shallow water models based onthe wave continuity equations Comput Fluids 23(3) 523ndash538doi1010160045ndash7930(94)90017-5

                                                                        Komen G L Cavaleri M Donelan K Hasselmann S Hasselmann andP A E M Janssen (1994) Dynamics and Modeling of Ocean WavesCambridge Univ Press New York

                                                                        Komen G J K Hasselmannm and K Hasselmann (1984) On the existenceof a fully-developed wind-sea spectrum J Phys Oceanogr 14 1271ndash1285 doi1011751520-0485(1984)014lt1271OTEOAFgt20CO2

                                                                        Madsen O S Y-K Poon and H C Graber (1988) Spectral wave attenu-ation by bottom friction Theory paper presented at the 21th Int ConfCoastal Engineering Torremolinos Spain

                                                                        Martyr R C et al (2012) Simulating hurricane storm surge in the lowerMississippi River under varying flow conditions J Hydraul Eng 139492ndash501 doi101061(ASCE)HY1943ndash79000000699

                                                                        Mitchell D A W J Teague E Jarosz and D W Wang (2005) Observedcurrents over the outer continental shelf during Hurricane Ivan GeophysRes Lett 32 L11610 doi1010292005GL023014

                                                                        Mukai A J J Westerink R A Luettich and D J Mark (2002) A tidalconstituent database for the Western North Atlantic Ocean Gulf of Mex-ico and Caribbean Sea Tech Rep ERDCCHL TR-02ndash24 US ArmyEng Res and Dev Cent Vicksburg Miss

                                                                        Powell M (2006) Drag coefficient distribution and wind speed depend-ence in tropical cyclones Final Report to the National Oceanic andAtmospheric Administration (NOAA) Joint Hurricane Testbed (JHT)Program Atl Oceanogr and Meteorol Lab Miami Fla

                                                                        Powell M D and T A Reinhold (2007) Tropical cyclone destructivepotential by integrated kinetic energy Bull Am Meteorol Soc 88(4)513ndash526 doi101175BAMS-88-4-513

                                                                        Powell M D S H Houston and T A Reinhold (1996) HurricaneAndrewrsquos landfall in South Florida Part I Standardizing measurementsfor documentation of surface wind fields Weather Forecast 11 304ndash328 doi1011751520-0434(1996)011lt0304HALISFgt20CO2

                                                                        Powell M D S H Houston L R Amat and N Morrisseau-Leroy(1998) The HRD real-time hurricane wind analysis system J WindEng Ind Aerodyn 77ndash78 53ndash64 doi101016S0167ndash6105(98)00131-7

                                                                        Powell M D P J Vickery and T A Reinhold (2003) Reduced dragcoefficient for high wind speeds in tropical cyclones Nature 422(6929)279ndash283 doi101038nature01481

                                                                        Powell M D et al (2010) Reconstruction of Hurricane Katrinarsquos windfields for storm surge and wave hindcasting Ocean Eng 37 26ndash36doi101016joceaneng200908014

                                                                        Ris R C N Booij and L H Holthuijsen (1999) A third-generation wavemodel for coastal regions 2 Verification J Geophys Res 104 7667ndash7681 doi1010291998JC900123

                                                                        Rogers W E P A Hwang and D W Wang (2003) Investigation ofwave growth and decay in the SWAN model Three regional scaleapplications J Phys Oceanogr 33 366ndash389 doi1011751520-0485(2003)033lt0366IOWGADgt20CO2

                                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                        4459

                                                                        Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                                        Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                                        Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                                        Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                                        Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                                        Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                                        Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                                        Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                                        HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                        4460

                                                                        • l
                                                                        • l
                                                                        • l
                                                                        • l

                                                                          Smith J M (2000) Benchmark tests of STWAVE paper presented at theSixth International Workshop on Wave Hindcasting and ForecastingMonterey Calif

                                                                          Smith J M (2007) Full-plane STWAVE II Model overview ERDC TN-SWWRP-07-5 Vicksburg Miss

                                                                          Smith J M A R Sherlock and D T Resio (2001) STWAVE Steady-state spectral wave model userrsquos manual for STWAVE version 30Tech Rep ERDCCHL SR-01-1 Eng Res and Dev Cent VicksburgMiss

                                                                          Smith J M R E Jensen A B Kennedy J C Dietrich and J J Wester-ink (2010) Waves in wetlands Hurricane Gustav in Proceedings of the32nd International Conference on Coastal Engineering (ICCE) Shang-hai China

                                                                          Sorensen R M (2006) Basic Coastal Engineering Springer N YSullivan P P L Romero J C McWilliams and W K Melville (2012)

                                                                          Transient evolution of Langmuir turbulence in ocean boundary layersdriven by hurricane winds and waves J Phys Oceanogr 42 1959ndash1980 doi101175JPO-D-12ndash0251

                                                                          Westerink J J R A Luettich J C Feyen J H Atkinson C Dawson HJ Roberts M D Powell J P Dunion E J Kubatko and H Pourtaheri(2008) A basin- to channel-scale unstructured grid hurricane stormsurge model applied to southern Louisiana Mon Weather Rev 136(3)833ndash864 doi1011752007MWR19461

                                                                          Zijlema M (2010) Computation of wind-wave spectra in coastal waterswith SWAN on unstructured grids Coastal Eng 57(3) 267ndash277doi101016jcoastalengsss200910011

                                                                          HOPE ET AL HINDCAST AND VALIDATION OF HURRICANE IKE

                                                                          4460

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