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Matematicheskoe modelirovanie, 2008, Volume 20, Number 1, Pages 48–60 (Mi mm2136)  
This article is cited in 3 scientific papers (total in 3 papers)

Rarefaction shock waves in gas dynamics numerical solutions

M. V. Abakumova, S. I. Mukhina, Yu. P. Popovb, D. V. Rogozhkina

a M. V. Lomonosov Moscow State University
b M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Full-text PDF (422 kB) Citations (3)
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Abstract: Properties of various gas dynamics difference schemes (conservative, nonconsevative and completely conservative) are investigated on the basis of a classical moving piston problem. It's shown that shock wave can appears in rarefaction wave solution for piston moving out of gas. Shocks appear when low stability schemes are used for these tasks. Explanation of this effect and possible ways of its elimination are proposed.
Received: 30.06.2006
English version:
Mathematical Models and Computer Simulations, 2009, Volume 1, Issue 1, Pages 21–30
DOI: https://doi.org/10.1134/S2070048209010037
Bibliographic databases:
Language: Russian
Citation: M. V. Abakumov, S. I. Mukhin, Yu. P. Popov, D. V. Rogozhkin, “Rarefaction shock waves in gas dynamics numerical solutions”, Matem. Mod., 20:1 (2008), 48–60; Math. Models Comput. Simul., 1:1 (2009), 21–30
Citation in format AMSBIB
\Bibitem{AbaMukPop08}
\by M.~V.~Abakumov, S.~I.~Mukhin, Yu.~P.~Popov, D.~V.~Rogozhkin
\paper Rarefaction shock waves in gas dynamics numerical solutions
\jour Matem. Mod.
\yr 2008
\vol 20
\issue 1
\pages 48--60
\mathnet{http://mi.mathnet.ru/mm2136}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2385003}
\zmath{https://zbmath.org/?q=an:1150.76466}
\transl
\jour Math. Models Comput. Simul.
\yr 2009
\vol 1
\issue 1
\pages 21--30
\crossref{https://doi.org/10.1134/S2070048209010037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929088012}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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