| Issue |
ESAIM: M2AN
Volume 46, Number 3, May-June 2012
Special volume in honor of Professor David Gottlieb
|
|
|---|---|---|
| Page(s) | 619 - 646 | |
| DOI | https://doi.org/10.1051/m2an/2011058 | |
| Published online | 11 January 2012 | |
Numerical approximation of the inviscid 3D primitive equations in a limited domain
1
Institute for Scientific Computing and Applied Mathematics,
Indiana University, Rawles
Hall, Bloomington,
IN
47405,
USA
mingcheng.shiue@gmail.com
2
Department of Scientific Computing, Florida State
University, 400 Dirac Science
Library, Tallahassee, FL
32306,
USA
3
National Center for Atmospheric Research, CGD-NCAR, 1850 Table
Mesa Drive, Boulder,
CO
80305,
USA
Received: 29 September 2009
Revised: 16 July 2010
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.
Mathematics Subject Classification: 35L50 / 65M06 / 76B99 / 86A05
Key words: Nonviscous primitive equations / limited domains / boundary conditions / transparent boundary conditions / finite difference methods
© EDP Sciences, SMAI, 2012
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