Preprint 1997-003
A wave propagation method for three-dimensional hyperbolic conservation
laws
J.O. Langseth and R.J. LeVeque
Abstract:
A class of wave propagation algorithms for three-dimensional conservation laws
is developed. These unsplit finite volume methods are based on solving
one-dimensional Riemann problems at the cell interfaces and applying
flux-limiter functions to suppress oscillations arising from second derivative
terms. Waves emanating from the Riemann problem are further split by solving
Riemann problems in the transverse direction to model cross-derivative
terms. Due to proper upwinding, the method is stable for Courant numbers up to
one. Several examples using the Euler equations are included.
- Paper:
- Available as PostScript (15 Mbytes) or
gzipped PostScript (2 Mbytes; uncompress
using gunzip).
- Title:
- A wave propagation method for three-dimensional hyperbolic conservation
laws
- Author(s):
- J.O. Langseth,
<jol@juno.ffi.no>
-
R.J. LeVeque,
<rjl@amath.washington.edu>
- Publishing information:
-
- Comments:
-
- Submitted by:
-
<jol@juno.ffi.no>
January 28 1997.
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Last modified: Tue Jan 28 09:41:56 1997