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:
-
- 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}
}
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.