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Matematicheskoe modelirovanie, 2021, Volume 33, Number 12, Pages 49–66
DOI: https://doi.org/10.20948/mm-2021-12-04 (Mi mm4340) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Entropic regularization of the discontinuous Galerkin method in conservative variables for two-dimensional Euler equations

M. D. Bragin, Yu. A. Kriksin, V. F. Tishkin

Keldysh Institute of Applied Mathematics RAS
Full-text PDF (595 kB) Citations (3)
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DOI: https://doi.org/10.20948/mm-2021-12-04
Abstract: The entropic regularization of the conservative stable discontinuous Galerkin method in conservative variables is constructed on the basis of a special slope limiter for the twodimensional Euler equations. This limiter ensures the fulfillment of the two-dimensional analogs of the monotonicity conditions and a discrete analog of the entropy inequality. The developed method was tested on two-dimensional model gas-dynamic problems.
Keywords: Euler equations, the discontinuous Galerkin method, conservation laws, slope limiter, entropic inequality.
Funding agency Grant number
Russian Science Foundation 21-11-00198
Received: 28.09.2021
Revised: 28.09.2021
Accepted: 08.11.2021
English version:
Mathematical Models and Computer Simulations, 2022, Volume 14, Issue 4, Pages 578–589
DOI: https://doi.org/10.1134/S2070048222040056
Document Type: Article
Language: Russian
Citation: M. D. Bragin, Yu. A. Kriksin, V. F. Tishkin, “Entropic regularization of the discontinuous Galerkin method in conservative variables for two-dimensional Euler equations”, Mat. Model., 33:12 (2021), 49–66; Math. Models Comput. Simul., 14:4 (2022), 578–589
Citation in format AMSBIB
\Bibitem{BraKriTis21}
\by M.~D.~Bragin, Yu.~A.~Kriksin, V.~F.~Tishkin
\paper Entropic regularization of the discontinuous Galerkin method in conservative variables for two-dimensional Euler equations
\jour Mat. Model.
\yr 2021
\vol 33
\issue 12
\pages 49--66
\mathnet{http://mi.mathnet.ru/mm4340}
\crossref{https://doi.org/10.20948/mm-2021-12-04}
\transl
\jour Math. Models Comput. Simul.
\yr 2022
\vol 14
\issue 4
\pages 578--589
\crossref{https://doi.org/10.1134/S2070048222040056}
Linking options:
  • https://www.mathnet.ru/eng/mm4340
  • https://www.mathnet.ru/eng/mm/v33/i12/p49
    • This publication is cited in the following 3 articles:
    1. Y. A. Kriksin, V. F. Tishkin, “Entropic regularization of the discontinuous Galerkin method in conservative variables for three-dimensional Euler equations”, Math. Models Comput. Simul., 16:6 (2024), 843–852  mathnet  crossref  crossref
    2. E. V. Shilnikov, I. R. Khaytaliev, “Application of the local discontinuous Galerkin method to the solution of the quasi-gas dynamic equation system”, Math. Models Comput. Simul., 15:1 suppl. (2023), S111–S122  mathnet  crossref  crossref
    3. Yu. A. Kriksin, V. F. Tishkin, “Entropic regularization of the discontinuous Galerkin method for two-dimensional Euler equations in triangulated domains”, Math. Models Comput. Simul., 15:5 (2023), 781–791  mathnet  crossref  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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