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Matematicheskoe modelirovanie, 2024, Volume 36, Number 4, Pages 77–91
DOI: https://doi.org/10.20948/mm-2024-04-05
(Mi mm4553)
 

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

Y. A. Kriksin, V. F. Tishkin

Keldysh Institute of Applied Mathematics RAS
References:
Abstract: The entropic regularization of the conservative stable discontinuous Galerkin method in conservative variables for three-dimensional Euler equations is constructed by the help of a special slope limiter. This limiter ensures the fulfillment of three-dimensional analogues of monotonicity conditions and a discrete analogue of entropic inequality. The developed method was tested on a three-dimensional model problem of a Taylor–Green vortex.
Keywords: Euler equations, the discontinuous Galerkin method, conservation laws, slope limiter, entropic inequality, Taylor–Green vortex.
Funding agency Grant number
Russian Science Foundation 21-11-00198
Received: 16.10.2023
Revised: 08.11.2023
Accepted: 04.12.2023
English version:
Mathematical Models and Computer Simulations, 2024, Volume 16, Issue 6, Pages 843–852
DOI: https://doi.org/10.1134/S2070048224700595
Document Type: Article
Language: Russian
Citation: Y. A. Kriksin, V. F. Tishkin, “Entropic regularization of the discontinuous Galerkin method in conservative variables for three-dimensional Euler equations”, Mat. Model., 36:4 (2024), 77–91; Math. Models Comput. Simul., 16:6 (2024), 843–852
Citation in format AMSBIB
\Bibitem{KriTis24}
\by Y.~A.~Kriksin, V.~F.~Tishkin
\paper Entropic regularization of the discontinuous Galerkin method in conservative variables for three-dimensional Euler equations
\jour Mat. Model.
\yr 2024
\vol 36
\issue 4
\pages 77--91
\mathnet{http://mi.mathnet.ru/mm4553}
\crossref{https://doi.org/10.20948/mm-2024-04-05}
\transl
\jour Math. Models Comput. Simul.
\yr 2024
\vol 16
\issue 6
\pages 843--852
\crossref{https://doi.org/10.1134/S2070048224700595}
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