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

Autor:	Marina Eugenievna Ladonkina, Ruslan V. Zhalnin, Olga Nikolaevna Terekhina, Vladimir Fedorovich Tishkin, Victor F. Masyagin
Rok vydání:	2021
Předmět:	010101 applied mathematics Discontinuous Galerkin method Scheme (mathematics) Applied mathematics 010103 numerical & computational mathematics Gas dynamics Flux limiter 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Keldysh Institute Preprints. :1-18
ISSN:	2071-2901 2071-2898
DOI:	10.20948/prepr-2021-7
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3cf4a543e4c71cb4f1b29d35c9033ede https://doi.org/10.20948/prepr-2021-7 Zobrazit plný text záznamu