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Matematicheskoe modelirovanie, 2019, Volume 31, Number 1, Pages 3–26
DOI: https://doi.org/10.1134/S0234087919010015 (Mi mm4032) 		 
On a difference scheme on triangular meshes for gas dynamics equations

M. A. Lozhnikov

Lomonosov Moscow State University
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DOI: https://doi.org/10.1134/S0234087919010015
Abstract: The paper suggests a difference scheme for the equations of isentropic ideal gas on triangular meshes. The scheme satisfies the mass conservation law and guarantees positiveness of the density function. The solution of the scheme satisfies the energy inequality. The solution of the scheme is proven to exist.
Keywords: gas dynamics, difference schemes, unstructured meshes, positive density.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00838_а
Received: 03.04.2018
Revised: 03.04.2018
Accepted: 14.05.2018
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 5, Pages 649–666
DOI: https://doi.org/10.1134/S2070048219050107
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Lozhnikov, “On a difference scheme on triangular meshes for gas dynamics equations”, Matem. Mod., 31:1 (2019), 3–26; Math. Models Comput. Simul., 11:5 (2019), 649–666
Citation in format AMSBIB
\Bibitem{Loz19}
\by M.~A.~Lozhnikov
\paper On a difference scheme on triangular meshes for gas dynamics equations
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 1
\pages 3--26
\mathnet{http://mi.mathnet.ru/mm4032}
\crossref{https://doi.org/10.1134/S0234087919010015}
\elib{https://elibrary.ru/item.asp?id=37174948}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 5
\pages 649--666
\crossref{https://doi.org/10.1134/S2070048219050107}
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    		Математическое моделирование
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