Geodesic
Entropy stable discontinuous Galerkin method for Euler equations using non-conservative variables
Matematičeskoe modelirovanie, Tome 32 (2020) no. 9, pp. 87-102.

Voir la notice de l'article provenant de la source Math-Net.Ru

A conservative version of the entropy stable discontinuous Galerkin method for Euler equations is proposed in variables: density, momentum density, and pressure. A special difference approximation in time, conservative in total energy is constructed for the equation describing the dynamics of the average pressure in a finite element. The entropic inequality and the requirements for the monotonicity of the numerical solution are ensured by a special slope limiter. The method developed has been successfully tested on a number of model gasdynamic problems. In particular, the quality of numerical calculation the specific internal energy has been significantly improved for the Einfeldt problem.
Mots-clés : gasdynamic equations
Keywords: discontinuous Galerkin method, tilt limiter, entropic inequality. 
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Y. A. Kriksin; V. F. Tishkin. Entropy stable discontinuous Galerkin method for Euler equations using non-conservative variables. Matematičeskoe modelirovanie, Tome 32 (2020) no. 9, pp. 87-102. http://geodesic.mathdoc.fr/item/MM_2020_32_9_a5/

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