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Preprints of the Keldysh Institute of Applied Mathematics, 2021, 007, 18 pp.
DOI: https://doi.org/10.20948/prepr-2021-7 (Mi ipmp2925) 		 
Application of the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method

V. F. Masyagin, R. V. Zhalnin, M. E. Ladonkina, O. N. Terekhina, V. F. Tishkin
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DOI: https://doi.org/10.20948/prepr-2021-7
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.
Funding agency Grant number
Russian Science Foundation 19-71-00131
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: V. F. Masyagin, R. V. Zhalnin, M. E. Ladonkina, O. N. Terekhina, V. F. Tishkin, “Application of the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method”, Keldysh Institute preprints, 2021, 007, 18 pp.
Citation in format AMSBIB
\Bibitem{MasZhaLad21}
\by V.~F.~Masyagin, R.~V.~Zhalnin, M.~E.~Ladonkina, O.~N.~Terekhina, V.~F.~Tishkin
\paper Application of the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method
\jour Keldysh Institute preprints
\yr 2021
\papernumber 007
\totalpages 18
\mathnet{http://mi.mathnet.ru/ipmp2925}
\crossref{https://doi.org/10.20948/prepr-2021-7}
\elib{https://elibrary.ru/item.asp?id=44673357}
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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