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J. Comp. Eng. Math., 2015, Volume 2, Issue 2, Pages 60–70 (Mi jcem6)  

This article is cited in 1 scientific paper (total in 1 paper)

Computational Mathematics

A method for shock calculation

V. F. Kuropatenko, M. N. Yakimova

Russian Federal Nuclear Center E.I. Zababakhin All-Russian Scientific Research Institute of Technical Physics, Snezhinsk, Russian Federation

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.

Keywords: conservation laws, energy dissipation, difference scheme, shock, rarefaction.

Funding Agency Grant Number
Russian Foundation for Basic Research 13-01-00072
This work was assumed by RFBR, project 13-01-00072.


DOI: https://doi.org/10.14529/jcem150206

Full text: PDF file (159 kB)
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MSC: 81V35, 39A10
Received: 04.04.2015
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Citation: V. F. Kuropatenko, M. N. Yakimova, “A method for shock calculation”, J. Comp. Eng. Math., 2:2 (2015), 60–70

Citation in format AMSBIB
\Bibitem{KurYak15}
\by V.~F.~Kuropatenko, M.~N.~Yakimova
\paper A method for shock calculation
\jour J. Comp. Eng. Math.
\yr 2015
\vol 2
\issue 2
\pages 60--70
\mathnet{http://mi.mathnet.ru/jcem6}
\crossref{https://doi.org/10.14529/jcem150206}
\elib{http://elibrary.ru/item.asp?id=23885336}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. F. Kuropatenko, E. S. Shestakovskaya, M. N. Yakimova, “Udarnaya volna v gazovom share”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 9:1 (2016), 5–19  mathnet  crossref  elib
  • Journal of Computational and Engineering Mathematics
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