AN UNSPLIT 3D UPWIND METHOD FOR HYPERBOLIC CONSERVATION-LAWS

Authors
SALTZMAN J
Citation
J. Saltzman, AN UNSPLIT 3D UPWIND METHOD FOR HYPERBOLIC CONSERVATION-LAWS, Journal of computational physics, 115(1), 1994, pp. 153-168
Citations number
24
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
115
Issue
1
Year of publication
1994
Pages
153 - 168
Database
ISI
SICI code
0021-9991(1994)115:1<153:AU3UMF>2.0.ZU;2-D
Abstract
An unsplit upwind method for solving hyperbolic conservation laws in t hree dimensions is developed. This paper derives the algorithm by gene ralizing a two-dimensional advection algorithm of Van Leer and Colella to three dimensions and then making appropriate modifications. The me thod is implemented using the equations of gas dynamics. Several test problems are computed to both verify and display the behavior of the m ethod. These test problems include a 1D blast wave, a 2D shock reflect ion off a 30-degrees ramp, and a 3D astrophysical jet. (C) 1994 Academ ic Press, Inc.