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Matematicheskoe modelirovanie, 2020, Volume 32, Number 11, Pages 114–128
DOI: https://doi.org/10.20948/mm-2020-11-09 (Mi mm4237) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Entropy stability of bicompact schemes in gas dynamics problems

M. D. Bragin

Keldysh Institute of Applied Mathematics of RAS
Full-text PDF (535 kB) Citations (1)
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DOI: https://doi.org/10.20948/mm-2020-11-09
Abstract: Fully discrete bicompact schemes of fourth order of approximation in space are examined for entropy stability in gas dynamics problems. Expressions for entropy production rates of these schemes are derived. Qualitative estimations for the behavior of these rates are obtained. Entropy production rates of bicompact schemes of first and third order in time are numerically analyzed in case of one-dimensional Riemann test problems. Based on the results of this analysis, it is concluded whether bicompact schemes need an entropy correction or not.
Keywords: gas dynamics, entropy stability, compact schemes, bicompact schemes.
Funding agency Grant number
Russian Science Foundation 17-71-30014
Received: 13.07.2020
Revised: 13.07.2020
Accepted: 21.09.2020
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 4, Pages 613–622
DOI: https://doi.org/10.1134/S2070048221040086
Document Type: Article
Language: Russian
Citation: M. D. Bragin, “Entropy stability of bicompact schemes in gas dynamics problems”, Mat. Model., 32:11 (2020), 114–128; Math. Models Comput. Simul., 13:4 (2021), 613–622
Citation in format AMSBIB
\Bibitem{Bra20}
\by M.~D.~Bragin
\paper Entropy stability of bicompact schemes in gas dynamics problems
\jour Mat. Model.
\yr 2020
\vol 32
\issue 11
\pages 114--128
\mathnet{http://mi.mathnet.ru/mm4237}
\crossref{https://doi.org/10.20948/mm-2020-11-09}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 4
\pages 613--622
\crossref{https://doi.org/10.1134/S2070048221040086}
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  • https://www.mathnet.ru/eng/mm4237
  • https://www.mathnet.ru/eng/mm/v32/i11/p114
    • This publication is cited in the following 1 articles:
    1. M. D. Bragin, Yu. A. Kriksin, V. F. Tishkin, “Entropic regularization of the discontinuous Galerkin method in conservative variables for two-dimensional Euler equations”, Math. Models Comput. Simul., 14:4 (2022), 578–589  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:48
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