# Numerical approximation of the inviscid 3D primitive equations in a limited domain

Qingshan Chen; Ming-Cheng Shiue; Roger Temam; Joseph Tribbia

ESAIM: Mathematical Modelling and Numerical Analysis (2012)

- Volume: 46, Issue: 3, page 619-646
- ISSN: 0764-583X

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topChen, Qingshan, et al. "Numerical approximation of the inviscid 3D primitive equations in a limited domain." ESAIM: Mathematical Modelling and Numerical Analysis 46.3 (2012): 619-646. <http://eudml.org/doc/276386>.

@article{Chen2012,

abstract = {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.},

author = {Chen, Qingshan, Shiue, Ming-Cheng, Temam, Roger, Tribbia, Joseph},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Nonviscous primitive equations; limited domains; boundary conditions; transparent boundary conditions; finite difference methods; nonviscous primitive equations},

language = {eng},

month = {1},

number = {3},

pages = {619-646},

publisher = {EDP Sciences},

title = {Numerical approximation of the inviscid 3D primitive equations in a limited domain},

url = {http://eudml.org/doc/276386},

volume = {46},

year = {2012},

}

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

DA - 2012/1//

PB - EDP Sciences

VL - 46

IS - 3

SP - 619

EP - 646

AB - 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.

LA - eng

KW - Nonviscous primitive equations; limited domains; boundary conditions; transparent boundary conditions; finite difference methods; nonviscous primitive equations

UR - http://eudml.org/doc/276386

ER -

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