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, mailto:jol@juno.ffi.no
R.J. LeVeque, mailto:rjl@amath.washington.edu
Publishing information:
Comments:
Submitted by:
mailto:jol@juno.ffi.no January 28 1997.


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