Yu. M. Laevsky, P. E. Popov, A. A. Kalinkin, “Simulation of two-phase fluid filtration by mixed finite element method”, Mat. Model., 22:3 (2010), 74

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Matematicheskoe modelirovanie, 2010, Volume 22, Number 3, Pages 74–90 (Mi mm2950)

This article is cited in 9 scientific papers (total in 9 papers)

Simulation of two-phase fluid filtration by mixed finite element method

Yu. M. Laevsky, P. E. Popov, A. A. Kalinkin

Institute of Computational Mathemetics and Mathematical Geophysics SB RAS, Novosibirsk

Full-text PDF (241 kB) Citations (9)

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Abstract: Within the mixed finite element method the numerical model for two-phase incompressible fluid filtration is designed in the terms “velocity-pressure-saturation”. Proposed approach is based on the first order equations only, and uses projection form of connection between total velocity and water velocity. The model is implemented as parallel algorithm for high performance cluster computations.

Received: 27.10.2008

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Document Type: Article

Language: Russian

Citation: Yu. M. Laevsky, P. E. Popov, A. A. Kalinkin, “Simulation of two-phase fluid filtration by mixed finite element method”, Mat. Model., 22:3 (2010), 74–90

Citation in format AMSBIB

\Bibitem{LaePopKal10}

\by Yu.~M.~Laevsky, P.~E.~Popov, A.~A.~Kalinkin

\paper Simulation of two-phase fluid filtration by mixed finite element method

\jour Mat. Model.

\yr 2010

\vol 22

\issue 3

\pages 74--90

\mathnet{http://mi.mathnet.ru/mm2950}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2676353}

Linking options:

https://www.mathnet.ru/eng/mm2950

https://www.mathnet.ru/eng/mm/v22/i3/p74

This publication is cited in the following 9 articles:

Ivanov M.I., Kremer I.A., Laevsky Yu.M., “Numerical Model of Gravity Segregation of Two-Phase Fluid in Porous Media Based on Hybrid Upwinding”, Russ. J. Numer. Anal. Math. Model, 35:1 (2021), 17–32
M. I. Ivanov, I. A. Kremer, Yu. M. Laevskii, “Ob odnoi protivopotokovoi skheme resheniya zadachi filtratsii”, Sib. elektron. matem. izv., 16 (2019), 757–776
V. I. Vasil'ev, M. V. Vasil'eva, Yu. M. Laevskii, T. S. Timofeeva, “Numerical simulation of two-phase fluid filtration in heterogeneous media”, J. Appl. Industr. Math., 11:2 (2017), 289–295
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
T. A. Kandryukova, Yu. M. Laevskii, “O nekotorykh podkhodakh k modelirovaniyu filtratsionnogo goreniya gaza”, Sib. zhurn. industr. matem., 18:4 (2015), 49–60
A. A. Kalinkin, Yu. M. Laevsky, “Mathematical model of water-oil displacement in fractured porous medium”, Sib. elektron. matem. izv., 12 (2015), 743–751
E. V. Berveno, A. A. Kalinkin, Yu. M. Laevskii, “Filtratsiya dvukhfaznoi zhidkosti v neodnorodnoi srede na kompyuterakh s raspredelennoi pamyatyu”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2014, no. 4(30), 57–62
K. V. Voronin, Yu. M. Laevskii, “Ob odnom podkhode k postroeniyu potokovykh skhem rasschepleniya v smeshannom metode konechnykh elementov”, Matem. modelirovanie, 26:12 (2014), 33–47
V. I. Mezhuev, V. V. Lavrik, “Skhema vyvoda raznostnykh sootnoshenii na osnove variatsionnogo printsipa Lagranzha”, Matem. modelirovanie, 26:12 (2014), 127–136

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

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Abstract page:	1134
Full-text PDF :	404
References:	103
First page:	29

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