A Convergent Finite Volume Scheme for Two-Phase Flows in Porous Media with Discontinuous Capillary Pressure Field

DOI10.1007/978-3-642-20671-9_20zbMath1246.76145OpenAlexW2120365535MaRDI QIDQ2902086

Konstantin Brenner, Clément Cancès, Danielle Hilhorst

Publication date: 17 August 2012

Published in: Finite Volumes for Complex Applications VI Problems & Perspectives (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-20671-9_20

zbMATH Keywords

finite volumetwo phase flowdiscontinuous capillary pressures

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Degenerate parabolic equations (35K65) Suspensions (76T20)

Related Items (2)

TP or not TP, that is the question ⋮ Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium

Cites Work

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• Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure
• Two-phase flows involving capillary barriers in heterogeneous porous media
• Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities
• Interface conditions for degenerate two-phase flow equations in one space dimension
• Analysis of Oil Trapping in Porous Media Flow
• A Finite Volume Scheme for Two-Phase Immiscible Flow in Porous Media
• Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces

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