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

Abstract

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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.

How to cite

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Chen, 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 -

References

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