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Matematicheskoe modelirovanie, 2019, Volume 31, Number 12, Pages 33–43
DOI: https://doi.org/10.1134/S0234087919120037
(Mi mm4137)
 

This article is cited in 6 scientific papers (total in 6 papers)

Incompressible viscous flow simulation using the quasi-hydrodynamic equations system

N. I. Tarasova, S. V. Polyakovba, Yu. N. Karamzina, T. A. Kudryashovaa, V. O. Podrygaac, D. V. Puzyrkova

a Keldysh Institute of Applied Mathematics of RAS
b National Research Nuclear University MEPhI
c Moscow Automobile and Road Construction State Technical University
Full-text PDF (619 kB) Citations (6)
References:
Abstract: In this paper, we consider the problem of modeling viscous incompressible fluid flow using the quasi-hydrodynamic equations system. The use of this approach makes it possible to avoid instability in pressure calculation when using the classical formulation of the Navier–Stokes equations, which is manifested when using cellular numerical schemes. For the numerical implementation of QGD equations, the finite volume method was used with cell-center approximation. In the case of a two-dimensional problem a square mesh was used. A cubic mesh was used in the case of a three-dimensional problem. Two series of calculations were performed for testing in areas of complex geometry for several Reynolds numbers. The results were compared with the ANSYS CFX software package. The comparison showed the high quality of the numerical simulation results using the QGD system of equations.
Keywords: incompressible viscous flow simulation, quasi-hydrodynamic equations system, finite-volume schemes on non-structured grids.
Received: 01.07.2019
Revised: 01.07.2019
Accepted: 09.09.2019
English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 4, Pages 553–560
DOI: https://doi.org/10.1134/S2070048220040183
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. I. Tarasov, S. V. Polyakov, Yu. N. Karamzin, T. A. Kudryashova, V. O. Podryga, D. V. Puzyrkov, “Incompressible viscous flow simulation using the quasi-hydrodynamic equations system”, Matem. Mod., 31:12 (2019), 33–43; Math. Models Comput. Simul., 12:4 (2020), 553–560
Citation in format AMSBIB
\Bibitem{TarPolKar19}
\by N.~I.~Tarasov, S.~V.~Polyakov, Yu.~N.~Karamzin, T.~A.~Kudryashova, V.~O.~Podryga, D.~V.~Puzyrkov
\paper Incompressible viscous flow simulation using the quasi-hydrodynamic equations system
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 12
\pages 33--43
\mathnet{http://mi.mathnet.ru/mm4137}
\crossref{https://doi.org/10.1134/S0234087919120037}
\elib{https://elibrary.ru/item.asp?id=41298287}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 4
\pages 553--560
\crossref{https://doi.org/10.1134/S2070048220040183}
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  • https://www.mathnet.ru/eng/mm4137
  • https://www.mathnet.ru/eng/mm/v31/i12/p33
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    References:27
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