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An Unsplit 3D Upwind Method for Hyperbolic Conservation Laws

โœ Scribed by Jeff Saltzman

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
665 KB
Volume
115
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

An unsplit upwind method for solving hyperbolic conservation laws in three dimensions is developed. This paper derives the algorithm by generalizing a two-dimensional advection algorithm of Van Leer and Colella to three dimensions and then making appropriate modifications. The method is implemented using the equations of gas dynamics. Several test problems are computed to both verify and display the behavior of the method. These test problems include a 1D blast wave, a 2D shock reflection off a (30^{\circ}) ramp, and a 3D astrophysical jet. (Q) 1994 Academic Press, inc.

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