On the quasi-hydrostatic quasi-geostrophic model

Antoine Rousseau 1 James C. Mcwilliams 2
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : This paper introduces a rigorous derivation of the quasi-geostrophic (QG) equations of large scale ocean as the Rossby number goes to zero. We follow classical techniques for the derivation (as in [BB94]), but the primitive equations that we consider account for all the rotating terms, as in [LPR10]. We end up with a slightly different QG model with a tilted vertical direction, which has been illustrated in previous works (see [SHE04, WB06, GZMvH08]).
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https://hal.inria.fr/inria-00564819
Contributor : Antoine Rousseau <>
Submitted on : Thursday, February 10, 2011 - 10:21:31 AM
Last modification on : Monday, December 16, 2019 - 10:40:33 AM
Long-term archiving on: Tuesday, November 6, 2012 - 1:46:40 PM

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Antoine Rousseau, James C. Mcwilliams. On the quasi-hydrostatic quasi-geostrophic model. [Research Report] RR-7531, 2011, pp.9. ⟨inria-00564819v1⟩

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