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Keldysh Institute preprints, 2016, 103, 20 pages (Mi ipmp2177)  

This article is cited in 2 scientific papers (total in 2 papers)

Simulation of non-isothermal multiphase filtration with application of explicit difference schemes

A. A. Lyupa, M. A. Trapeznikova, N. G. Churbanova


Abstract: The work is devoted to development of an original mathematical model of filtration constructed by analogy with the quasigasdynamic system of equations and allowing implementation via explicit numerical methods. The model is generalized to the case of multiphase multicomponent fluid and takes into account possible heat sources. Test predictions of three-phase fluid flows in homogeneous porous medium are performed.

Keywords: fluid flow in a porous medium, quasigasdynamic system of equations, explicit finite difference schemes.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-29-15095_офи_м
15-01-03445_а
15-01-03654_а


DOI: https://doi.org/10.20948/prepr-2016-103

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Document Type: Preprint

Citation: A. A. Lyupa, M. A. Trapeznikova, N. G. Churbanova, “Simulation of non-isothermal multiphase filtration with application of explicit difference schemes”, Keldysh Institute preprints, 2016, 103, 20 pp.

Citation in format AMSBIB
\Bibitem{LyuTraChu16}
\by A.~A.~Lyupa, M.~A.~Trapeznikova, N.~G.~Churbanova
\paper Simulation of non-isothermal multiphase filtration with application of explicit difference schemes
\jour Keldysh Institute preprints
\yr 2016
\papernumber 103
\totalpages 20
\mathnet{http://mi.mathnet.ru/ipmp2177}
\crossref{https://doi.org/10.20948/prepr-2016-103}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. A. Lyupa, M. A. Trapeznikova, A. A. Chechina, N. G. Churbanova, “Algoritm yavnogo tipa dlya resheniya zadach neizotermicheskoi filtratsii mnogofaznykh zhidkostei”, Preprinty IPM im. M. V. Keldysha, 2018, 101, 16 pp.  mathnet  crossref
    2. A. A. Lyupa, M. A. Trapeznikova, A. A. Chechina, N. G. Churbanova, “Sravnitelnyi analiz algoritmov yavnogo tipa dlya resheniya zadach filtratsii s ispolzovaniem giperbolizirovannykh uravnenii”, Preprinty IPM im. M. V. Keldysha, 2018, 248, 18 pp.  mathnet  crossref
  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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