Geodesic
Entropic regularization of the discontinuous Galerkin method in conservative variables for three-dimensional Euler equations
Matematičeskoe modelirovanie, Tome 36 (2024) no. 4, pp. 77-91

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The entropic regularization of the conservative stable discontinuous Galerkin method in conservative variables for three-dimensional Euler equations is constructed by the help of a special slope limiter. This limiter ensures the fulfillment of three-dimensional analogues of monotonicity conditions and a discrete analogue of entropic inequality. The developed method was tested on a three-dimensional model problem of a Taylor–Green vortex.
Mots-clés : Euler equations
Keywords: the discontinuous Galerkin method, conservation laws, slope limiter, entropic inequality, Taylor–Green vortex. 
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     title = {Entropic regularization of the discontinuous {Galerkin} method in conservative variables for three-dimensional {Euler} equations},
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Y. A. Kriksin; V. F. Tishkin. Entropic regularization of the discontinuous Galerkin method in conservative variables for three-dimensional Euler equations. Matematičeskoe modelirovanie, Tome 36 (2024) no. 4, pp. 77-91. http://geodesic.mathdoc.fr/item/MM_2024_36_4_a4/