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Title: An unsplit 3D upwind method for hyperbolic conservation laws

Abstract

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{degrees}ramp, and a 3D astrophysical jet.

Authors:
 [1]
  1. Los Alamos National Lab. NM (United States)
Publication Date:
OSTI Identifier:
105477
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 115; Journal Issue: 1; Other Information: PBD: Nov 1994
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; CONSERVATION LAWS; PARTIAL DIFFERENTIAL EQUATIONS; NUMERICAL SOLUTION; ALGORITHMS; THREE-DIMENSIONAL CALCULATIONS; ADVECTION; RIEMANN SPACE

Citation Formats

Saltzman, J. An unsplit 3D upwind method for hyperbolic conservation laws. United States: N. p., 1994. Web. doi:10.1006/jcph.1994.1184.
Saltzman, J. An unsplit 3D upwind method for hyperbolic conservation laws. United States. https://doi.org/10.1006/jcph.1994.1184
Saltzman, J. 1994. "An unsplit 3D upwind method for hyperbolic conservation laws". United States. https://doi.org/10.1006/jcph.1994.1184.
@article{osti_105477,
title = {An unsplit 3D upwind method for hyperbolic conservation laws},
author = {Saltzman, J},
abstractNote = {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{degrees}ramp, and a 3D astrophysical jet.},
doi = {10.1006/jcph.1994.1184},
url = {https://www.osti.gov/biblio/105477}, journal = {Journal of Computational Physics},
number = 1,
volume = 115,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 1994},
month = {Tue Nov 01 00:00:00 EST 1994}
}