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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 12, Pages 2035–2050
DOI: https://doi.org/10.31857/S0044466923120098 (Mi zvmmf11669) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical physics

Accelerating the solution of the Boltzmann equation by controlling contributions to the collision integral

F. G. Cheremisin

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, 119991, Moscow, Russia
Citations (2)
DOI: https://doi.org/10.31857/S0044466923120098
Abstract: A method of reducing the number of arithmetic operations needed to evaluate the Boltzmann collision integral by the conservative projection method is proposed. This is achieved by eliminating the contributions that are less than a certain threshold. An estimate of the maximum magnitude of this threshold is given. For four such thresholds that differ by an order of magnitude from each other, calculations of the flows of rarefied gas at Mach numbers in the range from 0.5 to 10 are carried out, and the results are compared with those obtained using the basic method. In all cases, there is a slight (within a few percent) difference for the highest threshold and almost complete coincidence for the other thresholds. A multiple acceleration of the solution of the Boltzmann equation was obtained, which is most significant for large Mach numbers.
Key words: solution of the Boltzmann equation, conservative projection method, discrete velocity method.
Received: 11.07.2023
Revised: 12.08.2023
Accepted: 22.08.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 12, Pages 2315–2329
DOI: https://doi.org/10.1134/S0965542523120084
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: F. G. Cheremisin, “Accelerating the solution of the Boltzmann equation by controlling contributions to the collision integral”, Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023), 2035–2050; Comput. Math. Math. Phys., 63:12 (2023), 2315–2329
Citation in format AMSBIB
\Bibitem{Che23}
\by F.~G.~Cheremisin
\paper Accelerating the solution of the Boltzmann equation by controlling contributions to the collision integral
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 12
\pages 2035--2050
\mathnet{http://mi.mathnet.ru/zvmmf11669}
\crossref{https://doi.org/10.31857/S0044466923120098}
\elib{https://elibrary.ru/item.asp?id=54912959}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 12
\pages 2315--2329
\crossref{https://doi.org/10.1134/S0965542523120084}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i12/p2035
    • This publication is cited in the following 2 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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