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Matematicheskoe modelirovanie, 2018, Volume 30, Number 5, Pages 37–56 (Mi mm3967)  

This article is cited in 5 scientific papers (total in 5 papers)

Unsteady high order accuracy DG method for turbulent flow modeling

S. M. Bosnyakov, S. V. Mikhaylov, V. Yu. Podaruev, A. I. Troshin

Central Aerohydrodynamic Institute after Professor N.E. Zhukovsky
Full-text PDF (986 kB) Citations (5)
References:
Abstract: The paper provides a brief description of TsAGI code based on the high order of accuracy Discontinuous Galerkin method. Reconstruction of the functions is carried out for the conservative variables. Gradients of variables are calculated using the method of Bassi–Rebay 2. For integration, Gauss quadrature rules are used. Coordinate transformations are done by serendipity elements. In calculations with schemes of order higher than second, curvature of the mesh lines is taken into account. In the paper, a comparison with finite volume methods is performed, including WENO method with linear weights and a single quadrature point on a cell side. The classical tests are used such as subsonic flow around a circular cylinder in an ideal gas, diagonal convection of two-dimensional isentropic vortex, and decay of the Taylor–Green vortex.
Keywords: Discontinuous Galerkin method (DG), Finite Volume method (FV), high order of accuracy, Taylor–Green vortex.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation RFMEFI62815X0005
Received: 06.03.2017
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 1, Pages 22–34
DOI: https://doi.org/10.1134/S2070048219010058
Document Type: Article
Language: Russian
Citation: S. M. Bosnyakov, S. V. Mikhaylov, V. Yu. Podaruev, A. I. Troshin, “Unsteady high order accuracy DG method for turbulent flow modeling”, Matem. Mod., 30:5 (2018), 37–56; Math. Models Comput. Simul., 11:1 (2019), 22–34
Citation in format AMSBIB
\Bibitem{BosMikPod18}
\by S.~M.~Bosnyakov, S.~V.~Mikhaylov, V.~Yu.~Podaruev, A.~I.~Troshin
\paper Unsteady high order accuracy DG method for turbulent flow modeling
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 5
\pages 37--56
\mathnet{http://mi.mathnet.ru/mm3967}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 1
\pages 22--34
\crossref{https://doi.org/10.1134/S2070048219010058}
Linking options:
  • https://www.mathnet.ru/eng/mm3967
  • https://www.mathnet.ru/eng/mm/v30/i5/p37
  • This publication is cited in the following 5 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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    Abstract page:434
    Full-text PDF :149
    References:24
    First page:19
     
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