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An unconditionally stable method for the Euler equations

delete1999-03-01
delete21
PRE
AI
H
Helge Holden
K
Knut‐Andreas Lie
N
Nils Henrik Risebro
DOI:10.1006/jcph.1998.6164delete
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摘要

摘要

En 中文
We discuss how to combine a front tracking method with dimensional splitting to solve systems of conservation laws numerically in two space dimensions. In addition we present an adaptive grid refinement strategy. The method is unconditionally stable and allows for moderately high CFL numbers (typically 1-4), and thus it is highly efficient. The method is applied to the Euler equations of gas dynamics. In particular, it is tested on an expanding circular gas front, a wind tunnel with a step, a double Mach reflection, and a shock-bubble interaction. The method shows very sharp resolution of shocks. (C) 1999 Academic Press.
Keyword:
front tracking
dimensional splitting
grid refinement
Euler equations

期刊

Journal of Computational Physics 封面图
Journal of Computational Physics
IF:
3.8
论文数:
1.6W
被引数:
7.4W

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