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Matematicheskoe modelirovanie, 2019, Volume 31, Number 7, Pages 45–57
DOI: https://doi.org/10.1134/S0234087919070037 (Mi mm4094) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Difference scheme with a symmetry analyzer for equations of gas dynamics

A. V. Koldobaa, G. V. Ustyugovaba

a Moscow Institute of Physics and Technology (SU)
b Keldysh Institute of Applied Mathematics RAS
Full-text PDF (459 kB) Citations (3)
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DOI: https://doi.org/10.1134/S0234087919070037
Abstract: The paper proposes a symmetry analyzer as an element of the computational algorithm for the numerical integration of two-dimensional equations of ideal gas dynamics. A symmetry analyzer is an algorithm that allows using grid data to give preference to one or another (in the present work, Cartesian or polar) components of a vector field for its reconstruction on the cell interfaces of a computational grid and subsequent calculation of fluxes of conservative variables. A computational algorithm was constructed using a polar-type computational grid and including a symmetry analyzer. The algorithm is easily transferred to the three-dimensional computational grids of cylindrical type.
Keywords: Godunov type difference scheme, symmetry analyzer.
Funding agency Grant number
Russian Foundation for Basic Research 18-02-00907_а
Received: 12.11.2018
Revised: 28.02.2019
Accepted: 11.03.2019
English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 2, Pages 125–132
DOI: https://doi.org/10.1134/S2070048220020076
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Koldoba, G. V. Ustyugova, “Difference scheme with a symmetry analyzer for equations of gas dynamics”, Mat. Model., 31:7 (2019), 45–57; Math. Models Comput. Simul., 12:2 (2020), 125–132
Citation in format AMSBIB
\Bibitem{KolUst19}
\by A.~V.~Koldoba, G.~V.~Ustyugova
\paper Difference scheme with a symmetry analyzer for equations of gas dynamics
\jour Mat. Model.
\yr 2019
\vol 31
\issue 7
\pages 45--57
\mathnet{http://mi.mathnet.ru/mm4094}
\crossref{https://doi.org/10.1134/S0234087919070037}
\elib{https://elibrary.ru/item.asp?id=38487753}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 2
\pages 125--132
\crossref{https://doi.org/10.1134/S2070048220020076}
Linking options:
  • https://www.mathnet.ru/eng/mm4094
  • https://www.mathnet.ru/eng/mm/v31/i7/p45
    • This publication is cited in the following 3 articles:
    1. Margarita N. Favorskaya, Alena V. Favorskaya, Igor B. Petrov, Lakhmi C. Jain, Smart Innovation, Systems and Technologies, 215, Smart Modelling for Engineering Systems, 2021, 1  crossref
    2. Galina V. Ustyugova, Alexander V. Koldoba, Smart Innovation, Systems and Technologies, 215, Smart Modelling for Engineering Systems, 2021, 117  crossref
    3. G. V. Ustyugova, A. V. Koldoba, “Difference scheme with a symmetry analizer for equations of magnetohydrodynamics”, Math. Models Comput. Simul., 13:4 (2021), 674–683  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    Full-text PDF :65
    References:48
    First page:8
     
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