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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 9, Pages 1591–1601 (Mi zvmmf252)  
This article is cited in 12 scientific papers (total in 12 papers)

Necessity of entropy control in gasdynamic computations

G. P. Prokopov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Full-text PDF (1598 kB) Citations (12)
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Abstract: A recently published numerical approach is used to perform an analytical study of the behavior of entropy in the numerical integration of gas dynamics equations. The study confirms the existence of discontinuous solutions for which the principle of nondecreasing entropy can be violated. A simple entropy-controlling algorithm is proposed for gasdynamic flow computations and other numerical methods.
Key words: gas dynamics, computation, entropy, control.
Received: 27.12.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 9, Pages 1528–1537
DOI: https://doi.org/10.1134/S0965542507090138
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: G. P. Prokopov, “Necessity of entropy control in gasdynamic computations”, Zh. Vychisl. Mat. Mat. Fiz., 47:9 (2007), 1591–1601; Comput. Math. Math. Phys., 47:9 (2007), 1528–1537
Citation in format AMSBIB
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\issue 9
\pages 1591--1601
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\transl
\jour Comput. Math. Math. Phys.
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\vol 47
\issue 9
\pages 1528--1537
\crossref{https://doi.org/10.1134/S0965542507090138}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i9/p1591
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :173
    References:48
    First page:1
     
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