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KIAM Preprint № 18, Moscow, 2019
Authors: Bragin M.D., Kriksin Y.A., Tishkin V.F.
Verification of an entropic regularization method for discontinuous Galerkin schemes applied to hyperbolic equations
Abstract:
In this work, methods of entropic correction in numerical schemes for hyperbolic equations are extensively overviewed. The variational method of entropic regularization in discontinuous Galerkin schemes is tested on the one-dimensional gasdynamic Einfeldt problem of two scattering rarefaction waves. Based on the results of this test, a simplified method of entropic regularization in discontinuous Galerkin schemes coupled with a slope limiter is proposed. The designed method is successfully verified on a number of Riemann problems for one-dimensional Euler equations.
Keywords:
hyperbolic equations, entropy condition, discontinuous Galerkin schemes, variational principle
Publication language: russian, pages: 25
Research direction:
Mathematical problems and theory of numerical methods
Russian source text: