A METHOD FOR SHOCK CALCULATION

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Published: Jul 6, 2015
Keywords:
conservation laws energy dissipation difference scheme shock rarefaction.

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V. F. Kuropatenko
Russian Federal Nuclear Center E.I. Zababakhin All-Russian Scientific Research Institute of Technical Physics
M. N. Yakimova
Russian Federal Nuclear Center E.I. Zababakhin All-Russian Scientific Research Institute of Technical Physics

Abstract

The mass, momentum and energy conservation laws allow shock and rarefaction waves to be present in the solution of continuum mechanics problems.  When these problems are solved with homogeneous difference techniques, the strong shock surface is represented by a layer of a finite width within which the quantities vary continuously from a state before the shock front to a state behind it. These states are related by the strong shock conditions. Since they lie on the Hugoniot, there must exist a mechanism which maintains energy dissipation in the shock layer. One of these mechanisms is a method by Kuropatenko which uses the difference equations applicable for strong shocks. The method can be implemented in different difference schemes.  The paper presents one of them, describes its basic properties, and provides results of some calculations.

Article Details

Issue
Vol. 2 No. 2 (2015): JOURNAL OF COMPUTATIONAL AND ENGINEERING MATHEMATICS
Section
Survey Articles

References

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