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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 10, Pages 1966–1976
DOI: https://doi.org/10.31857/S0044466924100143 (Mi zvmmf11856) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical physics

Verification of a numerical algorithm based on quasi-hydrodynamic equations as applied to thermal convection problems

M. A. Kiryushinaa, T. G. Elizarovaa, A. S. Epikhinb

a Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, 125047, Moscow, Russia
b Ivannikov Institute for System Programming of the RAS, 109004, Moscow, Russia
Citations (1)
DOI: https://doi.org/10.31857/S0044466924100143
Abstract: It is shown that the quasi-hydrodynamic algorithm makes it possible to simulate the flow of a viscous incompressible fluid in problems of thermogravitational convection at large Grashof numbers, including a correct description of the occurrence of an oscillatory process. The tests for square and rectangular areas are given. The calculations were performed within the framework of the implementation of the quasi-hydrodynamic algorithm in the open package OpenFOAM.
Key words: control volume method, OpenFOAM open package, quasi-hydrodynamic algorithm, viscous incompressible liquid, gravitational convection.
Received: 23.11.2023
Revised: 18.04.2024
Accepted: 28.06.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 10, Pages 2388–2398
DOI: https://doi.org/10.1134/S0965542524701331
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. A. Kiryushina, T. G. Elizarova, A. S. Epikhin, “Verification of a numerical algorithm based on quasi-hydrodynamic equations as applied to thermal convection problems”, Zh. Vychisl. Mat. Mat. Fiz., 64:10 (2024), 1966–1976; Comput. Math. Math. Phys., 64:10 (2024), 2388–2398
Citation in format AMSBIB
\Bibitem{KirEliEpi24}
\by M.~A.~Kiryushina, T.~G.~Elizarova, A.~S.~Epikhin
\paper Verification of a numerical algorithm based on quasi-hydrodynamic equations as applied to thermal convection problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 10
\pages 1966--1976
\mathnet{http://mi.mathnet.ru/zvmmf11856}
\elib{https://elibrary.ru/item.asp?id=78990828}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 10
\pages 2388--2398
\crossref{https://doi.org/10.1134/S0965542524701331}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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