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Mathematical Models and Computer Simulations

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01-08-2022

Entropic Regularization of the Discontinuous Galerkin Method in Conservative Variables for Two-Dimensional Euler Equations

Authors: M. D. Bragin, Y. A. Kriksin, V. F. Tishkin

Published in: Mathematical Models and Computer Simulations | Issue 4/2022

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Abstract

An entropic regularization of the conservative stable discontinuous Galerkin method (DGM) in conservative variables for two-dimensional Euler equations is constructed based on a special slope limiter. This limiter ensures the fulfillment of two-dimensional analogs of the monotonicity conditions and a discrete analog of the entropic inequality. The developed method was tested on two-dimensional model gas-dynamic problems.

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Title: Entropic Regularization of the Discontinuous Galerkin Method in Conservative Variables for Two-Dimensional Euler Equations
Authors: M. D. Bragin
Y. A. Kriksin
V. F. Tishkin
Publication date: 01-08-2022
Publisher: Pleiades Publishing
Published in: Mathematical Models and Computer Simulations / Issue 4/2022
Print ISSN: 2070-0482
Electronic ISSN: 2070-0490
DOI: https://doi.org/10.1134/S2070048222040056

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