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Numerical Experiments With The Quasigeostrophic Potential-Vorticity Equation, Peter L. Spence
Numerical Experiments With The Quasigeostrophic Potential-Vorticity Equation, Peter L. Spence
OES Theses and Dissertations
A method is developed to model the circulation of a barotropic, 8-plane ocean under an imposed steady wind stress. The model includes the effect of both horizontal and vertical friction along with nonlinear advection of vorticity. Implementing the method involves solving the unsteady quasigeostrophic potential-vorticity equation using a compact finite difference scheme (Gatski, Grosch, and Rose, 1982).
Once developed, this model is used in four separate numerical experiments. In each experiment, a model ocean with an initial flow field is driven to a steady state solution. Vertical viscosity is held constant in the first three experiments while lateral viscosity is …