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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 9, Pages 1554–1563
DOI: https://doi.org/10.31857/S0044466923090065 (Mi zvmmf11621) 		 
Mathematical physics

Universal approach to analysis of dissipation properties of a numerical method for solving gas dynamic equations

P. V. Chuvakhovab, I. O. Pogorelovab, K. V. Shubinb

a Central Aerohydrodynamic Institute, 140180, Zhukovskii, Moscow oblast, Russia
b Moscow Institute of Physics and Technology (National Research University), 141701, Dolgoprudnyi, Moscow oblast, Russia
DOI: https://doi.org/10.31857/S0044466923090065
Abstract: A universal approach to the verification of a numerical method for solving the Navier–Stokes equations is proposed, through which the dissipation properties of the method can be reliably assessed. The approach is based on viscous damping of weak elementary perturbations propagating in uniform flow. The corresponding theoretical solution allows one to determine the order of convergence of the numerical method.
Key words: numerical dissipation, numerical viscosity, numerical method, Navier–Stokes equations, Euler equations, convergence.
Funding agency Grant number
Russian Science Foundation 19-79-10132
This work was performed at the Moscow Institute of Physics and Technology (National Research University) and was supported by the Russian Science Foundation, project no. 19-79-10132.
Received: 27.10.2022
Revised: 26.03.2023
Accepted: 28.04.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 9, Pages 1708–1716
DOI: https://doi.org/10.1134/S0965542523090063
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: P. V. Chuvakhov, I. O. Pogorelov, K. V. Shubin, “Universal approach to analysis of dissipation properties of a numerical method for solving gas dynamic equations”, Zh. Vychisl. Mat. Mat. Fiz., 63:9 (2023), 1554–1563; Comput. Math. Math. Phys., 63:9 (2023), 1708–1716
Citation in format AMSBIB
\Bibitem{ChuPogShu23}
\by P.~V.~Chuvakhov, I.~O.~Pogorelov, K.~V.~Shubin
\paper Universal approach to analysis of dissipation properties of a numerical method for solving gas dynamic equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 9
\pages 1554--1563
\mathnet{http://mi.mathnet.ru/zvmmf11621}
\crossref{https://doi.org/10.31857/S0044466923090065}
\elib{https://elibrary.ru/item.asp?id=54313689}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 9
\pages 1708--1716
\crossref{https://doi.org/10.1134/S0965542523090063}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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