## A Wave Propagation Method for Three Dimensional Hyperbolic Problems (1996)

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### BibTeX

@MISC{Langseth96awave,

author = {J. O. Langseth and R. J. LeVeque},

title = {A Wave Propagation Method for Three Dimensional Hyperbolic Problems},

year = {1996}

}

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### Abstract

A class of wave propagation algorithms for three-dimensional conservation laws is developed. This unsplit nite volume method is 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.