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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 8, Pages 1356–1362
DOI: https://doi.org/10.7868/S0044466915080141 (Mi zvmmf10250) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Method of adaptive artificial viscosity for solving the Navier–Stokes equations

I. V. Popovab, I. V. Fryazinova

a Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
b National Research Nuclear University MEPhI, Kashirskoe shosse 31, Moscow, 115409, Russia
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DOI: https://doi.org/10.7868/S0044466915080141
Abstract: A numerical technique based on the method of adaptive artificial viscosity is proposed for solving the viscous compressible Navier–Stokes equations in two dimensions. The Navier–Stokes equations is approximated on unstructured meshes, namely, on triangular or tetrahedral elements. The monotonicity of the difference scheme according to the Friedrichs criterion is achieved by adding terms with adaptive artificial viscosity to the scheme. The adaptive artificial viscosity is determined by satisfying the maximum principle conditions. An external flow around a cylinder at various Reynolds numbers is computed as a numerical experiment.
Key words: difference scheme, Navier–Stokes equations, adaptive artificial viscosity, numerical method.
Received: 09.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 8, Pages 1324–1329
DOI: https://doi.org/10.1134/S096554251508014X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: I. V. Popov, I. V. Fryazinov, “Method of adaptive artificial viscosity for solving the Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015), 1356–1362; Comput. Math. Math. Phys., 55:8 (2015), 1324–1329
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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