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Matematicheskoe modelirovanie, 1994, Volume 6, Number 10, Pages 46–56 (Mi mm1919)  

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

Computational methods and algorithms

Boundary condition realization in numerical solution of hyperbolic system

S. I. Arafajlov, I. A. Zhdan

M. V. Lomonosov Moscow State University
Abstract: A simplified technique is presented for the realization of the boundary condition by Kentzer's scheme in the numerical analysis of hyperbolic systems such as gas dynamics equations by any explicit algorithm. The accuracy of simplified scheme is the same as usual Kentzer's one. However, the new method is not so complicated since it does not require the derivation of characteristic equations. It is just sufficiently to obtain the system eigenvalues and eigenvectors. So apart from the simplicity of realization, the present method reduces the probabilities of errors in numerical implementation of boundary conditions.
Received: 22.04.1993
Bibliographic databases:
Language: Russian
Citation: S. I. Arafajlov, I. A. Zhdan, “Boundary condition realization in numerical solution of hyperbolic system”, Matem. Mod., 6:10 (1994), 46–56
Citation in format AMSBIB
\Bibitem{AraZhd94}
\by S.~I.~Arafajlov, I.~A.~Zhdan
\paper Boundary condition realization in numerical solution of hyperbolic system
\jour Matem. Mod.
\yr 1994
\vol 6
\issue 10
\pages 46--56
\mathnet{http://mi.mathnet.ru/mm1919}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1346917}
\zmath{https://zbmath.org/?q=an:1075.76592}
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  • https://www.mathnet.ru/eng/mm/v6/i10/p46
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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