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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 2, Pages 336–348
DOI: https://doi.org/10.31857/S0044466923020060 (Mi zvmmf11519) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical physics

Solution of the Boltzmann equation in the continuum flow regime

F. G. Cheremisin

Federal Research Center "Computer Science and Control", Russian Academy of Sciences, 119991, Moscow, Russia
Full-text PDF Citations (4)
DOI: https://doi.org/10.31857/S0044466923020060
Abstract: A method for solving the Boltzmann equation is presented that makes it possible to calculate gas flows in the continuum flow regime described by the Navier–Stokes equations. Progress into the region of continuum flows was achieved by applying the conservative projection method for calculating the Boltzmann collision integral, which preserves the leading term of the Enskog–Chapman asymptotics. Optimization of this method that made it possible to considerably decrease the amount of computations is described. Examples of the longitudinal subsonic flow around a flat plate for the case of the Knudsen numbers Kn = (0.01,0.001,0.0001) are discussed.
Key words: solution of the Boltzmann equation, conservative projection method, continuum flow regime.
Received: 22.06.2022
Revised: 15.08.2022
Accepted: 12.10.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 2, Pages 319–331
DOI: https://doi.org/10.1134/S0965542523020057
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: F. G. Cheremisin, “Solution of the Boltzmann equation in the continuum flow regime”, Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023), 336–348; Comput. Math. Math. Phys., 63:2 (2023), 319–331
Citation in format AMSBIB
\Bibitem{Che23}
\by F.~G.~Cheremisin
\paper Solution of the Boltzmann equation in the continuum flow regime
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 2
\pages 336--348
\mathnet{http://mi.mathnet.ru/zvmmf11519}
\crossref{https://doi.org/10.31857/S0044466923020060}
\elib{https://elibrary.ru/item.asp?id=50435459}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 2
\pages 319--331
\crossref{https://doi.org/10.1134/S0965542523020057}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i2/p336
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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