Application of the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method-Reference-Cited by-同舟云学术

Application of the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method

Published:2021 Issue:7 Volume: Page:1-18
ISSN:2071-2898
Container-title:Keldysh Institute Preprints
language:
Short-container-title:KIAM Prepr.

Author:

Masyagin Victor Fedorovich¹^ORCID,Zhalnin Ruslan Viktorovich¹^ORCID,Ladonkina Marina Eugenievna²^ORCID,Terekhina Olga Nikolaevna¹^ORCID,Tishkin Vladimir Fedorovich²^ORCID

Affiliation:

1. National Research Mordovia State University

2. Keldysh Institute of Applied Mathematics

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.

Publisher

Keldysh Institute of Applied Mathematics

Subject

General Medicine

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