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Matematicheskoe modelirovanie, 2010, Volume 22, Number 4, Pages 99–109 (Mi mm2961)  
This article is cited in 21 scientific papers (total in 21 papers)

On an explicit scheme for filtration problem solution

B. N. Chetverushkina, D. N. Morozovb, M. A. Trapeznikovaa, N. G. Churbanovaa, E. V. Shilnikova

a Institute for Mathematical Modeling RAS, Moscow
b Moscow Institute of Physics and Technology
Full-text PDF (226 kB) Citations (21)
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Abstract: The paper is devoted to the consideration of the different models of compressible fluid filtration. As compared to the classical equation system, the discontinuity equation is modified taking into account the minimum scale of space averaging and system internal relaxation time. Three-level explicit finite difference schemes are proposed convenient for parallel implementation. Because of changing of equation system type from parabolic to hyperbolic one, the stability requirements become softer as compared to the two-level schemes.
Keywords: flows in porous media, kinetic schemes, parabolic and hyperbolic systems of equations, three-level explicit schemes.
Received: 11.06.2009
English version:
Mathematical Models and Computer Simulations, 2010, Volume 2, Issue 6, Pages 669–677
DOI: https://doi.org/10.1134/S2070048210060013
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. N. Chetverushkin, D. N. Morozov, M. A. Trapeznikova, N. G. Churbanova, E. V. Shilnikov, “On an explicit scheme for filtration problem solution”, Mat. Model., 22:4 (2010), 99–109; Math. Models Comput. Simul., 2:6 (2010), 669–677
Citation in format AMSBIB
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\by B.~N.~Chetverushkin, D.~N.~Morozov, M.~A.~Trapeznikova, N.~G.~Churbanova, E.~V.~Shilnikov
\paper On an explicit scheme for filtration problem solution
\jour Mat. Model.
\yr 2010
\vol 22
\issue 4
\pages 99--109
\mathnet{http://mi.mathnet.ru/mm2961}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2731165}
\transl
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 6
\pages 669--677
\crossref{https://doi.org/10.1134/S2070048210060013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861753506}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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