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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
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.
Received: 16.10.2023 Revised: 08.11.2023 Accepted: 04.12.2023
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
Linking options:
https://www.mathnet.ru/eng/mm4553 https://www.mathnet.ru/eng/mm/v36/i4/p77
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Abstract page: | 104 | Full-text PDF : | 3 | References: | 28 | First page: | 13 |
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