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Matem. Mod., 2010, Volume 22, Number 5, Pages 57–66 (Mi mm2971)  

This article is cited in 4 scientific papers (total in 4 papers)

Calculations of bidimentional test problems by a method of adaptive artificial viscosity

I. V. Popov, I. V. Fryazinov

Institute for Mathematical Modeling of Russian Academy of Science, Moscow

Abstract: Calculations 2D-dimentional test gas dynamics problems by a new, net method of adaptive artificial viscosity (AAV), in detail described in [1] and [2], generalized in [3] on a case of two and three measurements are resulted. In Cartesian coordinates in Eulerian variables in a rectangular and step areas the equations are considered.
The equations become isolated the equation of a condition ideal gas. Test problems are taken from [4]–[6]. Comparison of the decision of these problems by method AAV and by other methods published in clauses [4]–[6] is spent.

Keywords: 2D-dimentional gas dynamics problems, method of adaptive artificial viscosity.

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English version:
Mathematical Models and Computer Simulations, 2010, 2:6, 724–732

Received: 10.02.2009

Citation: I. V. Popov, I. V. Fryazinov, “Calculations of bidimentional test problems by a method of adaptive artificial viscosity”, Matem. Mod., 22:5 (2010), 57–66; Math. Models Comput. Simul., 2:6 (2010), 724–732

Citation in format AMSBIB
\Bibitem{PopFry10}
\by I.~V.~Popov, I.~V.~Fryazinov
\paper Calculations of bidimentional test problems by a~method of adaptive artificial viscosity
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 5
\pages 57--66
\mathnet{http://mi.mathnet.ru/mm2971}
\transl
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 6
\pages 724--732
\crossref{https://doi.org/10.1134/S2070048210060074}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925941480}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. V. Popov, I. V. Fryazinov, “About the new choice of adaptive artificial viscosity”, Math. Models Comput. Simul., 3:4 (2011), 411–418  mathnet  crossref  mathscinet
    2. I. V. Popov, I. V. Fryazinov, “Finite-difference method for computation of the 3-D gas dynamics equations with artificial viscosity”, Math. Models Comput. Simul., 3:5 (2011), 587–595  mathnet  crossref  mathscinet
    3. 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
    4. O. B. Bocharova, M. G. Lebedev, I. V. Popov, V. V. Sitnik, I. V. Fryazinov, “Shock wave reflection from the axis of symmetry in a nonuniform flow with the formation of a circulatory flow zone”, Math. Models Comput. Simul., 6:2 (2014), 142–154  mathnet  crossref  mathscinet
  • Математическое моделирование
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