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

被引：0

作者：

Y. A. Kriksin ^{[1
]}

V. F. Tishkin ^{[1
]}

机构：

[1] Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow

来源：

Mathematical Models and Computer Simulations | 2024年 / 16卷 / 6期

基金：

俄罗斯科学基金会;

关键词：

conservation laws; entropic inequality; Euler equations; slope limiter; Taylor–Green vortex; the discontinuous Galerkin method;

D O I：

10.1134/S2070048224700595

中图分类号：

学科分类号：

摘要：

Abstract: The entropic regularization of the conservative stable discontinuous Galerkin method (DGM) in conservative variables for three-dimensional Euler equations is constructed through the use of a special slope limiter. This limiter ensures the fulfillment of the three-dimensional analogs of the monotonicity conditions and a discrete analog of the entropic inequality. The developed method is tested on a three-dimensional model problem of a Taylor–Green vortex. © Pleiades Publishing, Ltd. 2024.

引用

页码：843 / 852

页数：9

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