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June  2010, 13(4): 841-857. doi: 10.3934/dcdsb.2010.13.841

Cosine effect in ocean models

Carine Lucas 1, and  Antoine Rousseau 2,

1. 

MAPMO, Université d’Orléans, Bâtiment de mathématiques - Route de Chartres, B.P. 6759 - 45067 Orléans Cedex 2, France
2. 

INRIA, Laboratoire Jean Kuntzmann, B.P. 53, 38041 Grenoble Cedex 09, France

Received  March 2009 Revised  June 2009 Published  March 2010

This works aims at studying the impact of the cosine terms of the Coriolis force, that are usually neglected in geophysical fluid dynamics, leading to the so-called traditional approximation. Mathematical well-posedness arguments for simplified models, as well as numerical simulations, are presented in order to suggest the use of these terms in large scale ocean modelling.
Keywords: Traditional Approximation, Quasi-Geostrophic Equation., Coriolis Force, Multiscale Analysis, Shallow Water Equation.
Mathematics Subject Classification: Primary: 76M45, 76U05; Secondary: 35B40, 35Q35, 76M2.
Citation: Carine Lucas, Antoine Rousseau. Cosine effect in ocean models. Discrete & Continuous Dynamical Systems - B, 2010, 13 (4) : 841-857. doi: 10.3934/dcdsb.2010.13.841
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