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KIAM Preprint № 7, Moscow, 2021
Authors: Masyagin V.F., Zhalnin R.V., Ladonkina M.E., Terekhina O.N., Tishkin V.F.
Application of the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method
Abstract:
The paper presents the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method. It guarantees monotonicity of the numerical solution, non-negativity of pressure and entropy production for each finite element. The numerical method has been successfully verified using some well-known model gas-dynamic problems.
Keywords:
discontinuous Galerkin method, unstructured grids, gas dynamics equations, implicit scheme, NVIDIA AmgX, entropic inequality, tilt limiter
Publication language: russian,  pages: 18
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Masyagin Victor Fedorovich,  orcid.org/0000-0001-6738-8183,  National Research Mordovia State University
  • Zhalnin Ruslan Viktorovich,  orcid.org/0000-0002-1103-3321,  National Research Mordovia State University
  • Ladonkina Marina Eugenievna,  orcid.org/0000-0001-7596-1672KIAM RAS
  • Terekhina Olga Nikolaevna,  orcid.org/0000-0002-3472-5881,  National Research Mordovia State University
  • Tishkin Vladimir Fedorovich,  orcid.org/0000-0001-7295-7002KIAM RAS