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Matematicheskoe modelirovanie, 2008, Volume 20, Number 8, Pages 48–60 (Mi mm2674)  
This article is cited in 17 scientific papers (total in 17 papers)

Finite-difference method for computation of the gas dynamics equations with artificial viscosity

I. V. Popov, I. V. Fryazinov

Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (317 kB) Citations (17)
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Abstract: Finite-difference method for computation of the gas dynamics equations with adaptive artificial viscosity (AAV) is proposed. It is homogeneous, monotonous finite-difference scheme of the second order approximation on time and space variables outside of areas of breaks and compression waves. The paper presents new way of introduction of artificial viscosity. It is investigated stability of the scheme. Test calculations of contact breaks movement, shock waves and disintegration of breaks were performed.
Received: 16.10.2007
English version:
Mathematical Models and Computer Simulations, 2009, Volume 1, Issue 4, Pages 493–502
DOI: https://doi.org/10.1134/S2070048209040073
Bibliographic databases:
Language: Russian
Citation: I. V. Popov, I. V. Fryazinov, “Finite-difference method for computation of the gas dynamics equations with artificial viscosity”, Mat. Model., 20:8 (2008), 48–60; Math. Models Comput. Simul., 1:4 (2009), 493–502
Citation in format AMSBIB
\Bibitem{PopFry08}
\by I.~V.~Popov, I.~V.~Fryazinov
\paper Finite-difference method for computation of the gas dynamics equations with artificial viscosity
\jour Mat. Model.
\yr 2008
\vol 20
\issue 8
\pages 48--60
\mathnet{http://mi.mathnet.ru/mm2674}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2477310}
\zmath{https://zbmath.org/?q=an:05493351}
\transl
\jour Math. Models Comput. Simul.
\yr 2009
\vol 1
\issue 4
\pages 493--502
\crossref{https://doi.org/10.1134/S2070048209040073}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929081269}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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