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Matematicheskoe modelirovanie, 2002, Volume 14, Number 10, Pages 69–76 (Mi mm538)  

This article is cited in 16 scientific papers (total in 16 papers)

Analog of kinetically consistent schemes for simulation of a filtration problem

M. A. Trapeznikovaa, M. S. Belotserkovskab, B. N. Chetverushkina

a Institute for Mathematical Modelling, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
References:
Abstract: A new filtration model is proposed. It is derived using the experience of constructing the kinetically consistent difference schemes and the quasy gas dynamics system of equations. The equation of continuity is modified taking into account the reference scale of averaging at which the microstructure of a filtration medium is unessential. Test predictions based on the new model are presented.
Received: 08.02.2001
Bibliographic databases:
Language: Russian
Citation: M. A. Trapeznikova, M. S. Belotserkovska, B. N. Chetverushkin, “Analog of kinetically consistent schemes for simulation of a filtration problem”, Mat. Model., 14:10 (2002), 69–76
Citation in format AMSBIB
\Bibitem{TraBelChe02}
\by M.~A.~Trapeznikova, M.~S.~Belotserkovska, B.~N.~Chetverushkin
\paper Analog of kinetically consistent schemes for simulation of a filtration problem
\jour Mat. Model.
\yr 2002
\vol 14
\issue 10
\pages 69--76
\mathnet{http://mi.mathnet.ru/mm538}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1989783}
\zmath{https://zbmath.org/?q=an:1014.76059}
Linking options:
  • https://www.mathnet.ru/eng/mm538
  • https://www.mathnet.ru/eng/mm/v14/i10/p69
  • This publication is cited in the following 16 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  elib
    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  elib
    3. A. A. Lyupa, M. A. Trapeznikova, N. G. Churbanova, “Modelirovanie neizotermicheskoi mnogofaznoi filtratsii s primeneniem yavnykh raznostnykh skhem”, Preprinty IPM im. M. V. Keldysha, 2016, 103, 20 pp.  mathnet  crossref
    4. A. A. Lyupa, D. N. Morozov, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, S. V. Lemeshevsky, “Simulation of oil recovery processes with the employment of high-performance computer systems”, Math. Models Comput. Simul., 8:2 (2016), 129–134  mathnet  crossref  mathscinet  elib
    5. B. N. Chetverushkin, V. I. Savelev, “Kineticheskie modeli i vysokoproizvoditelnye vychisleniya”, Preprinty IPM im. M. V. Keldysha, 2015, 079, 31 pp.  mathnet
    6. V. E. Borisov, B. V. Kritskii, E. B. Savenkov, “Yavnye skhemy dlya zadach filtratsii mnogofaznogo mnogokomponentnogo flyuida v poristoi srede”, Preprinty IPM im. M. V. Keldysha, 2013, 092, 27 pp.  mathnet
    7. Gichyan M.S., “Modelirovanie potoka zagryazneniya sredy tipa «voda - dno»”, Vestnik Moskovskogo finansovo-yuridicheskogo universiteta, 2012, no. 1, 108–116  elib
    8. Boris N. Chetverushkin, “Resolution limits of continuous media models and their mathematical formulations”, Math. Models Comput. Simul., 5:3 (2013), 266–279  mathnet  crossref  mathscinet
    9. Chetverushkin B.N., Gulin A.V., “Explicit Schemes and Numerical Simulation Using Ultrahigh-Performance Computer Systems”, Dokl. Math., 86:2 (2012), 681–683  crossref  mathscinet  zmath  isi  elib  elib  scopus
    10. D. N. Morozov, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, “Application of explicit schemes to simulation of two-phase filtration process”, Math. Models Comput. Simul., 4:1 (2012), 62–67  mathnet  crossref  mathscinet
    11. B. N. Chetverushkin, D. N. Morozov, M. A. Trapeznikova, N. G. Churbanova, E. V. Shilnikov, “On an explicit scheme for filtration problem solution”, Math. Models Comput. Simul., 2:6 (2010), 669–677  mathnet  crossref  mathscinet
    12. V. I. Popkov, V. P. Shakshin, “Integrirovannoe geologo-gidrodinamicheskoe modelirovanie v sistemnom upravlenii razrabotkoi neftegazovykh mestorozhdenii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(18) (2009), 239–250  mathnet  crossref  elib
    13. Yu. N. Karamzin, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, “Dvumernaya model avtomobilnykh potokov”, Matem. modelirovanie, 18:6 (2006), 85–95  mathnet  zmath
    14. Chetverushkin B., “Kinetic Schemes and Quasi-Gas-Dynamic System of Equations”, Russ. J. Numer. Anal. Math. Model, 20:4 (2005), 337–351  crossref  mathscinet  zmath  isi  elib  scopus
    15. M. S. Belotserkovskaya, A. M. Oparin, B. N. Chetverushkin, “Ispolzovanie vlozhennykh setok dlya modelirovaniya protsessa filtratsii”, Matem. modelirovanie, 16:12 (2004), 3–10  mathnet  zmath
    16. L. V. Dorodnitsyn, B. N. Chetverushkin, “Ob odnom variante kvazigazodinamicheskoi sistemy uravnenii”, Matem. modelirovanie, 15:1 (2003), 78–86  mathnet  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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