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

M. D. Bragin ; Yu. A. Kriksin ; V. F. Tishkin

Matematičeskoe modelirovanie, Tome 33 (2021) no. 12, pp. 49-66.

Résumé

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.

Détail

Mots-clés : Euler equations
Keywords: the discontinuous Galerkin method, conservation laws, slope limiter, entropic inequality.

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