Ce manuscrit retrace un cours donné par A. Rousseau en février 2014 à Toulouse dans le cadre du labex CIMI. Il s’agit de donner un aperçu, et de questionner, les modèles traditionnellement utilisés pour l’océanographie à grande échelle (qu’il s’agisse de modèles 2D ou 3D). En partant des équations complètes (conservation de la masse et de la quantité de mouvement), on explique comment (à partir d’approximations dont on donne les justifications physiques) on parvient à construire des modèles plus simples qui permettent une implémentation logicielle réaliste. Une focalisation particulière est effectuée sur l’approximation dite traditionnelle qui consiste à négliger une partie des termes de la force de Coriolis.
This work corresponds to classes given by A. Rousseau in February 2014 in Toulouse, in the framework of the CIMI labex. The objective is to describe and question the models that are traditionaly used for large scale oceanography, whether in 2D or 3D. Starting from fundamental equations (mass and momentum conservation), it is explained how (thanks to approximations for which we provide justifications) one can build simpler models that allow a realistic numerical implementation. We particularly focus on the so-called traditional approximation that neglects part of the Coriolis force.
@article{AFST_2017_6_26_4_1029_0,
author = {Lucas, Carine and McWilliams, James C. and Rousseau, Antoine},
title = {Large scale ocean models beyond the traditional approximation},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {1029--1049},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 26},
number = {4},
year = {2017},
doi = {10.5802/afst.1559},
language = {en},
url = {http://www.numdam.org/articles/10.5802/afst.1559/}
}
TY - JOUR AU - Lucas, Carine AU - McWilliams, James C. AU - Rousseau, Antoine TI - Large scale ocean models beyond the traditional approximation JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2017 SP - 1029 EP - 1049 VL - 26 IS - 4 PB - Université Paul Sabatier, Toulouse UR - http://www.numdam.org/articles/10.5802/afst.1559/ DO - 10.5802/afst.1559 LA - en ID - AFST_2017_6_26_4_1029_0 ER -
%0 Journal Article %A Lucas, Carine %A McWilliams, James C. %A Rousseau, Antoine %T Large scale ocean models beyond the traditional approximation %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2017 %P 1029-1049 %V 26 %N 4 %I Université Paul Sabatier, Toulouse %U http://www.numdam.org/articles/10.5802/afst.1559/ %R 10.5802/afst.1559 %G en %F AFST_2017_6_26_4_1029_0
Lucas, Carine; McWilliams, James C.; Rousseau, Antoine. Large scale ocean models beyond the traditional approximation. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 4, pp. 1029-1049. doi : 10.5802/afst.1559. http://www.numdam.org/articles/10.5802/afst.1559/
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