Volume 46, Number 3, May-June 2012Special volume in honor of Professor David Gottlieb
|Page(s)||619 - 646|
|Published online||11 January 2012|
Numerical approximation of the inviscid 3D primitive equations in a limited domain
Institute for Scientific Computing and Applied Mathematics,
Indiana University, Rawles
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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