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Green Water on Ship Decks Marilena Greco CeSOS, Centre of Excellence for Ships and Ocean Structures, Norway
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Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Jul 06, 2018

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Page 1: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Green Water on Ship Decks

Marilena Greco

CeSOS, Centre of Excellence for Ships and Ocean Structures, Norway

Page 2: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Steps of Physical Investigation

Water shipping scenarios

Green-water kinematics and loads

Occurrence of impact phenomena

Occurrence of parametric roll

Page 3: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Research Tools: Model Tests

2D fixed structure 3D fixed ships

3D ships: heave & pitch 3D ships: parametric roll

Page 4: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Research Tools: Numerical Methods

Domain-Decomposition strategies

Potential Flow Solver:BEM

Navier-Stokes

Solver Coupling

Potential

Seakeeping

Solver

Shallow-water

approximation

Page 5: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

2D Water-on-DECK Experiments

Page 6: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Water-on-Deck Scenarios Dam-Breaking (DB) type

Dam DB

Page 7: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Water-on-Deck Scenarios

Page 8: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Water-on-Deck Scenarios Plunging-wave plus Dam-Breaking (PDB) type

PDB

Page 9: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Water-on-Deck Scenarios Hammer-Fist (HF) type

HF

Page 10: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Water-on-Deck Investigations

PDB type

Most common scenario

Page 11: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

PDB Water-on-Deck: Initial stages Initial area of the entrapped cavity

From experiments

Area/f2

m

f

max-f

= (max-f)/cf Kjeldsen & Myrhaug (1979)

Page 12: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

PDB Water-on-Deck: Initial stages

Experiments DD BEM-NS results

Page 13: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

The time of bubble fragmentation is well predicted

PDB Water-on-Deck: Initial stages

Experiments DD BEM-NS results

Page 14: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

PDB Water-on-Deck: Initial stages

Air as ideal gas + adiabatic law in the cavity Incompressible cavity p=pa in the cavity

Experiments DD BEM-NS results

Page 15: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

PDB Water-on-Deck: Initial stages Full scale versus model scale: cavity shape

From numerics (DD BEM-NS)

Page 16: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

m

m

m

m

m

PDB Water-on-Deck: Later stages Water-front velocity

u/[g(max-f)m]0.5

x/ [(max-f)m]

u

x

From experiments

wf

Page 17: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

PDB Water-on-Deck: Later stages Flow evolution and interaction with a superstructure

DD BEM-NS Air-water interface

Page 18: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

PDB Water-on-Deck: Later stages Flow evolution and interaction with a superstructure

Page 19: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

PDB Water-on-Deck: Later stages Flow evolution and interaction with a superstructure

Page 20: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

PDB Water-on-Deck: Later stages Pressure on the wall: DD BEM-NS versus experiments

Experiments DD results

Experiments DD results

Page 21: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Water-on-Deck Investigations

HF type

Page 22: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

From numerics (Full BEM)

HF Water –on-Deck: Occurrence

Page 23: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Hammer-Fist Type WOD Flow evolution

Full BEM DD results

Page 24: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Hammer-Fist Type WOD Flow evolution

Page 25: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Hammer-Fist Type WOD Flow evolution

Page 26: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Hammer-Fist Type WOD Flow evolution

Page 27: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Hammer-Fist Type WOD Flow evolution

Page 28: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Water-on-Deck Problem Green-water loads: vertical superstructure

PDB HF

(p-p0)/(gD) (p-p0)/(gD)

From numerics (DD BEM-NS)

Page 29: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Water-on-Deck Scenarios Existence diagram

Page 30: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Water-on-Deck Scenarios Existence diagram

Dam-Breaking events

Plunging wave plus Dam-Breaking events

Hammer-Fist events

Plunging-Wave events

Marintek (2000)

White-Water events

Page 31: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

3D Model Tests With Fixed Model

Side View

Incoming wave packet

Freeboard

Deck location

Page 32: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Freeboard exceeded

3D Model Tests Analysis of the Initial stage

Page 33: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Plunging Flow

3D Model Tests Analysis of the Initial stage

2-D Tests

Ship Deck

water

Page 34: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

3D Model Tests Analysis of the Initial stage

Dam-break like flow

Ship Deck

water

2-D Tests

Page 35: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Freeboard exceeded Plunging Flow

Dam-break like flow

3D Model Tests Analysis of the Initial stage

Page 36: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

3D Model Tests With Fixed Model

Top View, large amplitude

Page 37: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

3D Model Tests With Fixed Model Structure of the deck flow

Freeboard exceeded

and plunging flow

Page 38: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

3D Model Tests With Fixed Model Structure of the deck flow

Diverted outwards flow

Page 39: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

3D Model Tests With Fixed Model Structure of the deck flow

Inner “blunt” structure

Dam-break like front

Transverse flow

Page 40: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

3D Model Tests With Fixed Model Structure of the deck flow

Growing of the

Inner “blunt” structure

Page 41: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Circular bow

Page 42: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Elliptic bow

Page 43: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

u/[g(H-f)m]0.5

x/ [(H-f)m]

x

From experiments

m=(H-f)/c

Centreline Water-Front Velocity

Page 44: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Maximum Pressure on the Deck

From experiments

Page 45: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Green-Water Loading on the Superstructure

From experiments

Page 46: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

3D Water on deck Experiments versus LSeak-NS DD

/ 1.25, 0.22, 0L kA Fr

Page 47: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

3D Water on deck: Model Tests vs LSeak-NS DD

Front bow motion

/ 1.25, 0.22, 0L kA Fr

Page 48: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front bow motion

/ 1.25, 0.22, 0L kA Fr

3D Water on deck: Model Tests vs LSeak-NS DD

Page 49: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front bow motion

/ 1.25, 0.22, 0L kA Fr

3D Water on deck: Model Tests vs LSeak-NS DD

Page 50: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front bow motion

/ 1.25, 0.22, 0L kA Fr

3D Water on deck: Model Tests vs LSeak-NS DD

Experiments

3D DD

Side Bottom

Experiments

3D DD

Page 51: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front bow motion

/ 1.25, 0.22, 0L kA Fr

3D Water on deck: Model Tests vs LSeak-NS DD

Page 52: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front bow motion

/ 1.25, 0.22, 0L kA Fr

3D Water on deck: Model Tests vs LSeak-NS DD

Page 53: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front bow motion

/ 1.25, 0.22, 0L kA Fr

3D Water on deck: Model Tests vs LSeak-NS DD

Page 54: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

/L=1.25, kA=0.15, Fr=0.189

From 3D Experimetal Video

Page 55: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

/L=1.25, kA=0.15, Fr=0.189

High-speed run-up with spray

From 3D Experimetal Video

Page 56: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

/L=1.25, kA=0.15, Fr=0.189

WOD from front bow

From 3D Experimetal Video

Page 57: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

/L=1.25, kA=0.15, Fr=0.189

WOD from the sides

From 3D Experimetal Video

Page 58: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

time

3D Water On Deck: Model Tests vs WNLSeak-SW DD

/L=1.25, kA=0.15, Fr=0.189

wall

Page 59: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

/L=1.25, kA= 0.15, Fr= 0.189

waves

Exp.

Num.

Exp.

Num.

Exp.

Num.

Exp.

Num.

Deck Pressure: Model Tests vs WNLSeak-SW DD

wall

Probably due to with-spray jet impact before the main

water reaches the wall

Page 60: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Experiments: Parametric Roll & Water on Deck

FPSO free in heave, pitch and roll

in head sea waves

Front view

Side view

Page 61: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Parametric roll occurrence Numerical (WNLSeak-SW DD) transient phase

/L=1 kA=0.1

T and T4n in the signal T4n=2T in the signal

resonance & instability

T T4n

Page 62: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front view Top view

Water-on-deck: Model Tests vs WNLSeak-SW DD

/L=0.75 kA=0.25: event after instability

Page 63: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front view Top view

/L=0.75 kA=0.25: event after instability

Water-on-deck: Model Tests vs WNLSeak-SW DD

Page 64: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front view Top view

/L=0.75 kA=0.25: event after instability

Water-on-deck: Model Tests vs WNLSeak-SW DD

Page 65: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front view Top view

/L=0.75 kA=0.25: event after instability

Water-on-deck: Model Tests vs WNLSeak-SW DD

Page 66: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front view Top view

/L=0.75 kA=0.25: event after instability

Water-on-deck: Model Tests vs WNLSeak-SW DD

Page 67: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Front view Top view

/L=0.75 kA=0.25: event after instability 0.5T4n=T

Water-on-deck: Model Tests vs WNLSeak-SW DD

Page 68: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

1

2

3

4

5

6

7

Water-on-deck occurrence: Numerical Solution

Influence of parametric roll on the deck pressure

Page 69: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Parametric roll occurrence: Numerical sol. Influence of water-on-deck loads on the instability

Page 70: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

This research has been possible especially thanks to:

Dr. Claudio Lugni

CNR-INSEAN & CeSOS

Dr. Giuseppina Colicchio

CNR-INSEAN & CeSOS

Prof. Odd M. Faltinsen

NTNU & CeSOS

All 3D experiments were performed at CNR-INSEAN

Dr. Maurizio Landrini

CNR-INSEAN

Page 71: Green Water on Ship Decks - CESOS - NTNU Greco.pdf · Green Water on Ship Decks Marilena Greco ... The time of bubble fragmentation is ... Impact flows and loads on ship-deck structures,

Relevant References

Publications on Books •Faltinsen O.M., Greco M., 2011, Slamming and green-water phenomena on ships, in Marine Technology and Engineering:

CENTEC Anniversary Book. Editors: Soares C.G., Garbatov Y., Fonseca N., Texeira A.P., Technical University of Lisbon,

Portugal, Vol. 1.

Publications on International Journals •Colicchio G., Greco M., Lugni C., Faltinsen O.M., 2013, 3D Domain Decomposition for Violent Wave-Ship Interactions, Int. J.

for Numerical Methods in Engineering, accepted for publication.

•Greco M., Bouscasse B., Lugni C., 2012, 3D seakeeping analysis with water on deck and slamming. Part 2: Experiments and

physical investigations, J. of Fluids and Structures, 33.

•Greco M., Lugni C., 2012, 3D seakeeping analysis with water on deck and slamming. Part 1: Numerical solver, J. of Fluids and

Structures, 33.

•Colicchio G., Greco M., Faltinsen O.M., 2011, Domain-Decomposition Strategy for Marine Applications with Cavities

Entrapments, J. of Fluids and Structures, 27 (4).

•Colicchio G., Greco M., Lugni C., Faltinsen O.M., 2010, Towards a fully 3D domain-decomposition strategy for water-on-deck

phenomena, J. of Hydrodynamics, Ser. B, 22 (5).

•Greco M., Colicchio G., Faltinsen O.M., 2007, Shipping of Water on a Two-dimensional Structure: Part II, J. of Fluid

Mechanics, 581.

•Colicchio, G., Greco, M., Faltinsen, O.M., 2006, BEM-level set domain decomposition strategy for nonlinear and fragmented

interfacial flows, Int. Journal Numer. Meth. Engng, 67/10.

•Greco M., Faltinsen O.M., Landrini M., 2005, Shipping of Water on a Two-dimensional Structure, J. of Fluid Mechanics, 525.

•Greco M., Landrini M., Faltinsen O.M., 2004, Impact flows and loads on ship-deck structures, J. of Fluids and Structures, 19 /3.

•Faltinsen O.M., Landrini M., Greco M., 2004, Slamming in marine applications, J. Engng. Math., 48.

•Barcellona M., Landrini M., Greco M., Faltinsen O.M., 2003, An Experimental Investigation on Bow Water Shipping, J. Ship

Res., 47/4.