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.
@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 - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {46},
year = {2012},
pages = {619-646},
doi = {10.1051/m2an/2011058},
mrnumber = {2877368},
language = {en},
url = {http://dml.mathdoc.fr/item/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 - Modélisation Mathématique et Analyse Numérique, Tome 46 (2012) pp. 619-646. doi : 10.1051/m2an/2011058. http://gdmltest.u-ga.fr/item/M2AN_2012__46_3_619_0/
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