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

Published online by Cambridge University Press:  11 January 2012

Qingshan Chen ,
Ming-Cheng Shiue ,
Roger Temam  and
Joseph Tribbia
Qingshan Chen
Affiliation:
Institute for Scientific Computing and Applied Mathematics, Indiana University, Rawles Hall, Bloomington, IN 47405, USA. [email protected] Department of Scientific Computing, Florida State University, 400 Dirac Science Library, Tallahassee, FL 32306, USA
Ming-Cheng Shiue
Affiliation:
Institute for Scientific Computing and Applied Mathematics, Indiana University, Rawles Hall, Bloomington, IN 47405, USA. [email protected]
Roger Temam
Affiliation:
Institute for Scientific Computing and Applied Mathematics, Indiana University, Rawles Hall, Bloomington, IN 47405, USA. [email protected]
Joseph Tribbia
Affiliation:
National Center for Atmospheric Research, CGD-NCAR, 1850 Table Mesa Drive, Boulder, CO 80305, USA
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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.

Keywords

Nonviscous primitive equationslimited domainsboundary conditionstransparent boundary conditionsfinite difference methods
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 46 , Issue 3: Special volume in honor of Professor David Gottlieb , May 2012 , pp. 619 - 646
Copyright
© EDP Sciences, SMAI, 2012

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