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Matem. Mod., 2019, Volume 31, Number 7, Pages 45–57 (Mi mm4094)  

This article is cited in 1 scientific paper (total in 1 paper)

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

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


DOI: https://doi.org/10.1134/S0234087919070037

Full text: PDF file (459 kB)
References: PDF file   HTML file

Received: 12.11.2018
Revised: 28.02.2019
Accepted:11.03.2019

Citation: A. V. Koldoba, G. V. Ustyugova, “Difference scheme with a symmetry analyzer for equations of gas dynamics”, Matem. Mod., 31:7 (2019), 45–57

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 Matem. Mod.
\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}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. G. V. Ustyugova, A. V. Koldoba, “Raznostnaya skhema s analizatorom simmetrii dlya uravnenii magnitnoi gidrodinamiki”, Matem. modelirovanie, 32:12 (2020), 65–80  mathnet  crossref
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