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Preprints of the Keldysh Institute of Applied Mathematics, 2017, 069, 12 pp.
DOI: https://doi.org/10.20948/prepr-2017-69 (Mi ipmp2285) 		 
One approach to constructing a conservative difference scheme for the two-phase filtration problem

I. V. Popov, Yu. A. Poveschenko, S. V. Polyakov, P. I. Rahimli
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DOI: https://doi.org/10.20948/prepr-2017-69
Abstract: A numerical method for solving two-phase filtration problems is developed on the basis of the adaptive artificial viscosity method for the simulation of the continuity equation. The developed difference scheme has a second order of approximation in time and space. Numerical experiments were performed for the proposed two-phase filtration problems. Numerical calculations showed that the proposed method well traces the discontinuities of the numerical solution.
Keywords: difference scheme, adaptive artificial viscosity, advection, filtration problem, mathematical modeling.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04620-а
16-07-00519-а
16-29-15095-офи-м
Document Type: Preprint
Language: Russian
Citation: I. V. Popov, Yu. A. Poveschenko, S. V. Polyakov, P. I. Rahimli, “One approach to constructing a conservative difference scheme for the two-phase filtration problem”, Keldysh Institute preprints, 2017, 069, 12 pp.
Citation in format AMSBIB
\Bibitem{PopPovPol17}
\by I.~V.~Popov, Yu.~A.~Poveschenko, S.~V.~Polyakov, P.~I.~Rahimli
\paper One approach to constructing a conservative difference scheme for the two-phase filtration problem
\jour Keldysh Institute preprints
\yr 2017
\papernumber 069
\totalpages 12
\mathnet{http://mi.mathnet.ru/ipmp2285}
\crossref{https://doi.org/10.20948/prepr-2017-69}
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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