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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 4, Pages 586–600 (Mi zvmmf3283)  

This article is cited in 8 scientific papers (total in 8 papers)

A numerical method of computing supersonic flows of a viscous gas

S. G. Karataev, V. N. Koterov

Moscow
References:
Abstract: A numerical method of solving simplified stationary Navier–Stokes equations is proposed. The method is based on using variables that can be described as “a function of the current and its orthogonal complement”. To solve the system of difference equations, a modification of the method of “global iterations” is proposed, which considerably accelerates the convergence of the iteration process. Examples of computations are given, and these are compared with the results of the asymptotic theory of locally broken flows.
Received: 16.06.1989
Revised: 28.09.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 2, Pages 166–176
DOI: https://doi.org/10.1016/0041-5553(90)90092-7
Bibliographic databases:
Document Type: Article
UDC: 519.6:533.7
MSC: Primary 76M20; Secondary 76J20, 76N15
Language: Russian
Citation: S. G. Karataev, V. N. Koterov, “A numerical method of computing supersonic flows of a viscous gas”, Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990), 586–600; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 166–176
Citation in format AMSBIB
\Bibitem{KarKot90}
\by S.~G.~Karataev, V.~N.~Koterov
\paper A~numerical method of computing supersonic flows of a~viscous gas
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 4
\pages 586--600
\mathnet{http://mi.mathnet.ru/zvmmf3283}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1055820}
\zmath{https://zbmath.org/?q=an:0727.76084}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 2
\pages 166--176
\crossref{https://doi.org/10.1016/0041-5553(90)90092-7}
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  • https://www.mathnet.ru/eng/zvmmf/v30/i4/p586
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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