Geodesic
Entropic regularization of the discontinuous Galerkin method in conservative variables for two-dimensional Euler equations
Matematičeskoe modelirovanie, Tome 33 (2021) no. 12, pp. 49-66

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

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.
Mots-clés : Euler equations
Keywords: the discontinuous Galerkin method, conservation laws, slope limiter, entropic inequality. 
@article{MM_2021_33_12_a3,
     author = {M. D. Bragin and Yu. A. Kriksin and V. F. Tishkin},
     title = {Entropic regularization of the discontinuous {Galerkin} method in conservative variables for two-dimensional {Euler} equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {49--66},
     publisher = {mathdoc},
     volume = {33},
     number = {12},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2021_33_12_a3/}
}
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M. D. Bragin; Yu. A. Kriksin; V. F. Tishkin. Entropic regularization of the discontinuous Galerkin method in conservative variables for two-dimensional Euler equations. Matematičeskoe modelirovanie, Tome 33 (2021) no. 12, pp. 49-66. http://geodesic.mathdoc.fr/item/MM_2021_33_12_a3/