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KIAM Preprint № 100, Moscow, 2018
Authors: Kriksin Y.A., Tishkin V.F.
Entropic regularization of Discontinuous Galerkin method in one-dimensional problems of gas dynamics
Abstract:
A new variational entropic regularization principle is formulated for a discontinuous Galerkin (DG) method. An entropy stable DG method of high accuracy is constructed for 1D equations of gas dynamics. The DG solutions satisfy the discrete analogues of the conservation laws of mass, momentum, total energy and entropic inequality. Formulas for the coefficients of the DG method are obtained.
Keywords:
equations of gas dynamics, discontinuous Galerkin method, variational principle, conservation laws, entropy condition
Publication language: russian,  pages: 22
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Kriksin Yury Anatolievich,  orcid.org/0000-0002-3840-4874KIAM RAS
  • Tishkin Vladimir Fedorovich,  orcid.org/0000-0001-7295-7002KIAM RAS