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

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.