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

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.