Geodesic
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

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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
Keywords: nonviscous primitive equations, limited domains, boundary conditions, transparent boundary conditions, finite difference methods 
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     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},
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     year = {2012},
     doi = {10.1051/m2an/2011058},
     mrnumber = {2877368},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011058/}
}
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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 , Special volume in honor of Professor David Gottlieb. Numéro spécial, Tome 46 (2012) no. 3, pp. 619-646. doi: 10.1051/m2an/2011058

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