Entropic regularization of the discontinuous Galerkin method for two-dimensional Euler equations in triangulated domains

Yu. A. Kriksin ; V. F. Tishkin

Matematičeskoe modelirovanie, Tome 35 (2023) no. 3, pp. 3-19.

Résumé

An entropic regularization of the discontinuous Galerkin method in conservative variables is constructed for the two-dimensional Euler equations in domains divided into non-regular triangular cells. Based on the use of local orthogonal linear basis functions in a triangular cell, a new slope limiter is proposed. In order to ensure the fulfillment of the discrete analogue of the entropic inequality in a triangular cell, a special slope limiter is constructed.

Détail

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

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