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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 10, Pages 1723–1739
DOI: https://doi.org/10.31857/S004446692210009X
(Mi zvmmf11464)
 

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

Mathematical physics

Numerical simulation of turbulent flows based on modern turbulence models

M. E. Madalieva, Z. M. Malikovb

a Fergana Polytechnic Institute, 150107, Fergana, Uzbekistan
b Institute of Mechanics and Earthquake Engineering M.T. Urazbaev, Academy of Sciences of the Republic of Uzbekistan, 100007, Tashkent, Uzbekistan
Citations (6)
Abstract: The new two-fluid turbulence model is compared with other RANS models for various turbulent flows: mixing of two flows, flow in a flat diffuser and an axisymmetric incompressible subsonic jet. In this paper, the most popular models capable of adequately describing complex turbulent flows are considered as RANS models. Comparisons of models are carried out not only by the accuracy of the results obtained, but also by the consumption of computing resources for the implementation of these models. Therefore, the computational algorithm for all models was the same and the method of establishing, i.e., by integrating non-stationary equations, was used to achieve stationary solutions. For the numerical implementation of systems of hydrodynamic equations, a finite-difference scheme was used, where the viscous terms were approximated by the central difference implicitly, and for convective terms, an explicit scheme against the flow of the second order of accuracy was used. At each time step, the correction for the velocities was carried out through the pressure according to the S-IMPLE procedure. To assess the adequacy, the obtained numerical results are compared with the known experimental data. Comparisons of numerical results have shown that the two-fluid model is easy to implement, requires less computational resources than other RANS models and is able to predict turbulent flows with great accuracy.
Key words: Navier–Stokes equations, diffuser, separation flow, two-fluid model, control volume method.
Received: 10.10.2021
Revised: 17.05.2022
Accepted: 08.06.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 10, Pages 1707–1722
DOI: https://doi.org/10.1134/S0965542522100098
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: M. E. Madaliev, Z. M. Malikov, “Numerical simulation of turbulent flows based on modern turbulence models”, Zh. Vychisl. Mat. Mat. Fiz., 62:10 (2022), 1723–1739; Comput. Math. Math. Phys., 62:10 (2022), 1707–1722
Citation in format AMSBIB
\Bibitem{MadMal22}
\by M.~E.~Madaliev, Z.~M.~Malikov
\paper Numerical simulation of turbulent flows based on modern turbulence models
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 10
\pages 1723--1739
\mathnet{http://mi.mathnet.ru/zvmmf11464}
\crossref{https://doi.org/10.31857/S004446692210009X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4499887}
\elib{https://elibrary.ru/item.asp?id=49344343}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 10
\pages 1707--1722
\crossref{https://doi.org/10.1134/S0965542522100098}
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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