A new set of nonlocal boundary conditions is proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for these modes. Numerical simulations of the full nonlinear primitive equations are performed on a nested set of domains, and the results are discussed.
Mots-clés : nonviscous primitive equations, limited domains, boundary conditions, transparent boundary conditions, finite difference methods
@article{M2AN_2012__46_3_619_0,
author = {Chen, Qingshan and Shiue, Ming-Cheng and Temam, Roger and Tribbia, Joseph},
title = {Numerical approximation of the inviscid {3D} primitive equations in a limited domain},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {619--646},
publisher = {EDP-Sciences},
volume = {46},
number = {3},
year = {2012},
doi = {10.1051/m2an/2011058},
mrnumber = {2877368},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2011058/}
}
TY - JOUR AU - Chen, Qingshan AU - Shiue, Ming-Cheng AU - Temam, Roger AU - Tribbia, Joseph TI - Numerical approximation of the inviscid 3D primitive equations in a limited domain JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2012 SP - 619 EP - 646 VL - 46 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2011058/ DO - 10.1051/m2an/2011058 LA - en ID - M2AN_2012__46_3_619_0 ER -
%0 Journal Article %A Chen, Qingshan %A Shiue, Ming-Cheng %A Temam, Roger %A Tribbia, Joseph %T Numerical approximation of the inviscid 3D primitive equations in a limited domain %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2012 %P 619-646 %V 46 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2011058/ %R 10.1051/m2an/2011058 %G en %F M2AN_2012__46_3_619_0
Chen, Qingshan; Shiue, Ming-Cheng; Temam, Roger; Tribbia, Joseph. Numerical approximation of the inviscid 3D primitive equations in a limited domain. ESAIM: Mathematical Modelling and Numerical Analysis , Special volume in honor of Professor David Gottlieb. Numéro spécial, Tome 46 (2012) no. 3, pp. 619-646. doi : 10.1051/m2an/2011058. http://www.numdam.org/articles/10.1051/m2an/2011058/
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