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This article is cited in 5 scientific papers (total in 5 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
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.
Received: 28.09.2021 Revised: 28.09.2021 Accepted: 08.11.2021
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”, Matem. Mod., 33:12 (2021), 49–66; Math. Models Comput. Simul., 14:4 (2022), 578–589
Linking options:
https://www.mathnet.ru/eng/mm4340 https://www.mathnet.ru/eng/mm/v33/i12/p49
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Abstract page: | 262 | Full-text PDF : | 51 | References: | 31 | First page: | 15 |
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