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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 2, Pages 267–280
DOI: https://doi.org/10.31857/S0044466920020131 (Mi zvmmf11035) 		 
This article is cited in 18 scientific papers (total in 18 papers)

An approach to time integration of the Navier–Stokes equations

V. T. Zhukov, N. D. Novikova, O. B. Feodoritova

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.31857/S0044466920020131
Abstract: An approach to the time integration of the Navier–Stokes equations for a compressible heat-conducting gas is developed. According to this approach, the solution algorithm is split into a convective and a diffusion stage. The convective stage represents an explicit Godunov-type scheme. The diffusion stage is addressed using the Chebyshev explicit iterative scheme. The resulting scheme ensures the fulfillment of the fundamental conservation laws at the difference level, and its algorithmic structure is well suited for parallelization.
Key words: numerical simulation, Navier–Stokes equations, splitting with respect to physical processes, Chebyshev explicit iterative scheme.
Funding agency Grant number
Russian Science Foundation 17-71-30014
This work was supported by the Russian Science Foundation (project no. 17-71-30014).
Received: 02.07.2019
Revised: 02.07.2019
Accepted: 17.10.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 2, Pages 272–285
DOI: https://doi.org/10.1134/S0965542520020128
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “An approach to time integration of the Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 60:2 (2020), 267–280; Comput. Math. Math. Phys., 60:2 (2020), 272–285
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
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