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Matematicheskoe modelirovanie, 2010, Volume 22, Number 11, Pages 3–17 (Mi mm3036)  
This article is cited in 10 scientific papers (total in 10 papers)

On some multiscale algorithms for sector modeling in multiphase flow problems

A. Kh. Pergamenta, V. A. Semiletovb, P. Yu. Tominc

a Keldysh Institute for Applied Mathematics RAS, Moscow
b Lomonosov Moscow State University
c Moscow Institute of Physics and Technologies
Full-text PDF (428 kB) Citations (10)
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Abstract: The multiscale algorithm for multiphase filtration problem is proposed. Filtration fluxes on the fine grid are determined from solution of the pressure equation on the coarse grid. Further, domain is decomposed on to subdomains with reasonable number of cells and the full second boundary condition filtration problem is solved using pressure equation. The support operator method has been improved for complex structure cell for solution of the pressure equation on the coarse grid. This method is high resolution one: i.e. it allows revealing solution properties related to fine grid structure.
Keywords: multiphase flows, approximation on the non-ortogonal grids, multiscale algorithms.
Received: 28.04.2010
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 3, Pages 365–374
DOI: https://doi.org/10.1134/S2070048211030100
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Kh. Pergament, V. A. Semiletov, P. Yu. Tomin, “On some multiscale algorithms for sector modeling in multiphase flow problems”, Matem. Mod., 22:11 (2010), 3–17; Math. Models Comput. Simul., 3:3 (2011), 365–374
Citation in format AMSBIB
\Bibitem{PerSemTom10}
\by A.~Kh.~Pergament, V.~A.~Semiletov, P.~Yu.~Tomin
\paper On some multiscale algorithms for sector modeling in multiphase flow problems
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 11
\pages 3--17
\mathnet{http://mi.mathnet.ru/mm3036}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2810127}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 3
\pages 365--374
\crossref{https://doi.org/10.1134/S2070048211030100}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84907963818}
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    • This publication is cited in the following 10 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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