inria-00564819, version 3
On the quasi-hydrostatic quasi-geostrophic model
Antoine Rousseau
a, 1James C. Mcwilliams 2
N° RR-7531 (2011)
Résumé : 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]).
- a – INRIA
- 1 : MOISE (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
- CNRS : UMR5224 – INRIA – Laboratoire Jean Kuntzmann – Université Joseph Fourier - Grenoble I – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
- 2 : Institute of Geophysics and Planetary Physics [Los Angeles] (IGPP)
- University of California at Los Angeles
- Domaine : Mathématiques/Analyse numérique
Physique/Physique/Dynamique des FluidesPhysique/Physique/Physique Atmosphérique et Océanique - Référence interne : RR-7531
- Versions disponibles : v1 (10-02-2011) v2 (11-02-2011) v3 (18-04-2011)
- inria-00564819, version 3
- http://hal.inria.fr/inria-00564819
- oai:hal.inria.fr:inria-00564819
- Contributeur : Antoine Rousseau
- Soumis le : Lundi 18 Avril 2011, 06:22:58
- Dernière modification le : Lundi 18 Avril 2011, 09:23:16
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