Mathematics Mathematics in the Ocean in the Ocean • Andrew Poje Mathematics Department College of Staten Island • M. Toner • A. D. Kirwan, Jr. • G. Haller • C. K. R. T. Jones • L. Kuznetsov • … and many more! April is Math Awareness Month U. Delaware Brown U.
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Mathematics in the Ocean Andrew Poje Mathematics Department College of Staten Island M. Toner A. D. Kirwan, Jr. G. Haller C. K. R. T. Jones L. Kuznetsov.
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Mathematics Mathematics in the Oceanin the Ocean• Andrew Poje
Mathematics Department College of Staten Island
• M. Toner
• A. D. Kirwan, Jr.
• G. Haller
• C. K. R. T. Jones
• L. Kuznetsov
• … and many more!
April is Math Awareness Month
U. Delaware
Brown U.
Why Study the Ocean?
• Fascinating!
• 70 % of the planet is ocean
• Ocean currents control climate
• Dumping ground - Where does waste go?
Ocean Currents: The Big Picture
• HUGE Flow Rates (Football Fields/second!)
• Narrow and North in West
• Broad and South in East
• Gulf Stream warms Europe
• Kuroshio warms Seattle
image from Unisys Inc.(weather.unisys.com)
Drifters and Floats:Measuring Ocean Currents
Particle (Sneaker) Motion in the Ocean
Particle Motion in the Ocean:Mathematically
• Particle locations: (x,y)
• Change in location is given by velocity of water: (u,v)
• Velocity depends on position: (x,y)
• Particles start at some initial spot
( )( ) 0
0
0
0
),(
),(
yty
xtx
yxvdt
dy
yxudt
dx
==
==
=
=
Ocean Currents: Time Dependence
• Global Ocean Models: Math Modeling Numerical Analysis Scientific Programing