A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media
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Publication:1663655
DOI10.1007/s10596-014-9403-5zbMath1393.76114OpenAlexW2047345434MaRDI QIDQ1663655
Clément Cancès, Boris P. Andreianov
Publication date: 22 August 2018
Published in: Computational Geosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10596-014-9403-5
convergencefinite volume schemediscontinuous capillarityupstream differencingporous media two-phase flowsscalar conservation laws with discontinuous flux functionsvanishing capillarity solution
Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Multiphase and multicomponent flows (76Txx) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) First-order hyperbolic equations (35L02)
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