no. 3
Numerical approximation of the inviscid 3D primitive equations in a limited domain
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 46 (2012) no. 3, pp. 619-646.

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.

DOI : 10.1051/m2an/2011058
Classification : 35L50, 65M06, 76B99, 86A05
Mots clés : nonviscous primitive equations, limited domains, boundary conditions, transparent boundary conditions, finite difference methods 
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     title = {Numerical approximation of the inviscid {3D} primitive equations in a limited domain},
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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 , 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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