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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2017, Volume 27, Issue 3, Pages 460–469
DOI: https://doi.org/10.20537/vm170313 (Mi vuu601) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MECHANICS

Application of WENO scheme for simulation of turbulent flow in a channel with backward-facing step

A. A. Shumikhina, M. R. Korolevaa, S. Yu. Dadikinaa, A. I. Karpovba

a Institute of Mechanics, Ural Branch of the Russian Academy of Sciences, ul. T. Baramzinoi, 34, Izhevsk, 426067, Russia
b Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia
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DOI: https://doi.org/10.20537/vm170313
Abstract: The technique of viscous gas turbulent flow simulation based on high-order approximation WENO scheme (Weighted Essentially Non-oscillatory scheme) is described. This scheme is characterized by significant stability when calculations are performed, because WENO allows to eliminate nonphysical oscillations of a numerical solution which can occur during calculations. The system of governing equations describing the flow of viscous gas based on the Navier–Stokes equations is presented. The algorithms of 3-rd and 5-th accuracy orders are developed and implemented. The numerical methods used in the calculations of gas flow are described. Turbulence modeling is carried out using the method of large vortices. The proposed algorithms have been used to study the flow of viscous gas in a channel with backward-facing step. Reynolds number of the flow in the channel was Re = 15 000. Comparison of simulation results with experimental data has been made.
Keywords: WENO scheme, method of large vortices, turbulence, Computational Fluid Dynamics.
Funding agency Grant number
Russian Foundation for Basic Research 16-08-00110_а
Received: 01.08.2017
Bibliographic databases:
Document Type: Article
UDC: 532.517.4, 519.632.4
MSC: 76F65, 65N08
Language: Russian
Citation: A. A. Shumikhin, M. R. Koroleva, S. Yu. Dadikina, A. I. Karpov, “Application of WENO scheme for simulation of turbulent flow in a channel with backward-facing step”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:3 (2017), 460–469
Citation in format AMSBIB
\Bibitem{ShuKorDad17}
\by A.~A.~Shumikhin, M.~R.~Koroleva, S.~Yu.~Dadikina, A.~I.~Karpov
\paper Application of WENO scheme for simulation of turbulent flow in a channel with backward-facing step
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2017
\vol 27
\issue 3
\pages 460--469
\mathnet{http://mi.mathnet.ru/vuu601}
\crossref{https://doi.org/10.20537/vm170313}
\elib{https://elibrary.ru/item.asp?id=30267254}
Linking options:
  • https://www.mathnet.ru/eng/vuu601
  • https://www.mathnet.ru/eng/vuu/v27/i3/p460
    • This publication is cited in the following articles:
    1. R. V. Zhalnin, E. E. Peskova, O. A. Stadnichenko, V. F. Tishkin, “Modelirovanie techeniya mnogokomponentnogo reagiruyuschego gaza s ispolzovaniem algoritmov vysokogo poryadka tochnosti”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 27:4 (2017), 608–617  mathnet  crossref  elib
    2. A. M. Lipanov, S. Yu. Dadikina, A. A. Shumikhin, M. R. Koroleva, A. I. Karpov, “Chislennoe modelirovanie vnutrikamernykh nestatsionarnykh turbulentnykh techenii. Chast 1”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 12:1 (2019), 32–43  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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