Atmospheres and Oceans on Computers pp 115-158 | Cite as
Shallow Water Problem
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Abstract
The purpose of this chapter is to learn how to solve a simple subset of the momentum equations ( 1.1) numerically. The focus is on the shallow water equations, and in particular their depth integrated versions ( 1.33) and ( 1.34). Despite their simplicity, the shallow water equations include the essence of the momentum equations. For instance, we retain the possibility of a geostrophic balance and the impact of nonlinear terms on the dynamics.
Keywords
Shallow Water Equations Geostrophic Balance Forward-backward Scheme Inertia-gravity Waves Rossby Deformation Radius
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