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Matem. Mod., 2010, Volume 22, Number 12, Pages 23–32 (Mi mm3050)  

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

About the new choice of adaptive artificial viscosity

I. V. Popov, I. V. Fryazinov

Institute for Mathematical Modeling of RAS, Moscow

Abstract: In work the method of adaptive artificial viscosity (AAV) [1, 2] in the appendix to problems of gas dynamics in cylindrical, spherical and Cartesian coordinates is considered. The new way of a choice of the artificial viscosity, leading weak (on three intervals) is offered smoothing of shock waves and accurate suppression oscillation of the decisions. Results of test calculations are resulted.

Keywords: difference schemes, adaptive artificial viscosity, systems of gas dynamics.

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English version:
Mathematical Models and Computer Simulations, 2011, 3:4, 411–418

Bibliographic databases:

Received: 02.07.2009
Revised: 18.05.2010

Citation: I. V. Popov, I. V. Fryazinov, “About the new choice of adaptive artificial viscosity”, Matem. Mod., 22:12 (2010), 23–32; Math. Models Comput. Simul., 3:4 (2011), 411–418

Citation in format AMSBIB
\Bibitem{PopFry10}
\by I.~V.~Popov, I.~V.~Fryazinov
\paper About the new choice of adaptive artificial viscosity
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 12
\pages 23--32
\mathnet{http://mi.mathnet.ru/mm3050}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2810216}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 4
\pages 411--418
\crossref{https://doi.org/10.1134/S2070048211040089}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928989681}


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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. I. V. Popov, I. V. Fryazinov, “Method of adaptive artificial viscosity for the equations of gas dynamics on triangular and tetrahedral grids”, Math. Models Comput. Simul., 5:1 (2013), 50–62  mathnet  crossref  mathscinet  elib
  • Математическое моделирование
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