Preprint 1997003
A wave propagation method for threedimensional hyperbolic conservation
laws
J.O. Langseth and R.J. LeVeque
Abstract:
A class of wave propagation algorithms for threedimensional conservation laws
is developed. These unsplit finite volume methods are based on solving
onedimensional Riemann problems at the cell interfaces and applying
fluxlimiter 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 crossderivative
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 threedimensional 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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