Numerical methods for flow in a porous medium with internal boundaries

DOI10.1023/A:1011554320427zbMath0943.76059OpenAlexW141251312MaRDI QIDQ1298861

Brit Gunn Ersland, Roger Nybø, Magne S. Espedal

Publication date: 10 September 2000

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011554320427

zbMATH Keywords

weak formulationtwo-phase flowmodified method of characteristicsiterative solutioninterior boundary value problemsdiscontinuous finite elementsdiscontinuous basis functionsinterface between sediments

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

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Upstream mobility finite volumes for the Richards equation in heterogenous domains ⋮ Reservoir description using a binary level set model ⋮ Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures ⋮ Numerical modelling of three-phase immiscible flow in heterogeneous porous media with gravitational effects ⋮ Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium ⋮ Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure ⋮ On several numerical strategies to solve Richards' equation in heterogeneous media with finite volumes

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