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An Unconditionally Stable Method for the Euler Equations

✍ Scribed by Helge Holden; Knut-Andreas Lie; Nils Henrik Risebro

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 282 KB
Volume: 150
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1998.6164

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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