Kaitlin Alexander

(Department of Mathematics, University of Manitoba)

A Simplified Model Of Ocean Circulation

Date Friday, April 25, 2014

Numerical ocean modelling is a young and dynamic field of computational science. In this presentation I derive a model of ocean circulation on a three-dimensional rectangular domain, accounting for seven state variables: temperature, salinity, pressure, density, and the three components of velocity. I solve the resulting system of PDEs, which includes the horizontal components of the nonlinear Navier-Stokes equations, using finite-difference methods. Finally, I discuss the stability of the solution and compare the results to circulation patterns observed in the global ocean.