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Matematicheskoe modelirovanie, 2023, Volume 35, Number 3, Pages 3–19
DOI: https://doi.org/10.20948/mm-2023-03-01 (Mi mm4447) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Entropic regularization of the discontinuous Galerkin method for two-dimensional Euler equations in triangulated domains

Yu. A. Kriksin, V. F. Tishkin

Keldysh Institute of Applied Mathematics RAS
Full-text PDF (397 kB) Citations (1)
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DOI: https://doi.org/10.20948/mm-2023-03-01
Abstract: An entropic regularization of the discontinuous Galerkin method in conservative variables is constructed for the two-dimensional Euler equations in domains divided into non-regular triangular cells. Based on the use of local orthogonal linear basis functions in a triangular cell, a new slope limiter is proposed. In order to ensure the fulfillment of the discrete analogue of the entropic inequality in a triangular cell, a special slope limiter is constructed.
Keywords: Euler equations, the discontinuous Galerkin method, conservation laws, slope limiter, entropic inequality.
Funding agency Grant number
Russian Science Foundation 21-11-00198
Received: 10.10.2022
Revised: 10.10.2022
Accepted: 12.12.2022
English version:
Mathematical Models and Computer Simulations, 2023, Volume 15, Issue 5, Pages 781–791
DOI: https://doi.org/10.1134/S2070048223050058
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. A. Kriksin, V. F. Tishkin, “Entropic regularization of the discontinuous Galerkin method for two-dimensional Euler equations in triangulated domains”, Mat. Model., 35:3 (2023), 3–19; Math. Models Comput. Simul., 15:5 (2023), 781–791
Citation in format AMSBIB
\Bibitem{KriTis23}
\by Yu.~A.~Kriksin, V.~F.~Tishkin
\paper Entropic regularization of the discontinuous Galerkin method for two-dimensional Euler equations in triangulated domains
\jour Mat. Model.
\yr 2023
\vol 35
\issue 3
\pages 3--19
\mathnet{http://mi.mathnet.ru/mm4447}
\crossref{https://doi.org/10.20948/mm-2023-03-01}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4556392}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 5
\pages 781--791
\crossref{https://doi.org/10.1134/S2070048223050058}
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  • https://www.mathnet.ru/eng/mm/v35/i3/p3
    • This publication is cited in the following 1 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    Full-text PDF :49
    References:46
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