Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillary effects

DOI10.1007/s00211-016-0839-5zbMath1462.65145OpenAlexW2183842563MaRDI QIDQ527826

Stefan Karpinski, Iuliu Sorin Pop

Publication date: 12 May 2017

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-016-0839-5

zbMATH Keywords

porous mediumtwo phase flowdiscontinuous Galerkin scheme

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Liquid-liquid two component flows (76T06)

Related Items (5)

Error estimates for a mixed finite element discretization of a two-phase porous media flow model with dynamic capillarity ⋮ Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models ⋮ A block-centered finite difference method for the nonlinear Sobolev equation on nonuniform rectangular grids ⋮ Numerical resolution of a pseudo-parabolic Buckley-Leverett model with gravity and dynamic capillary pressure in heterogeneous porous media ⋮ Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity

Uses Software

• SuperLU
• DUNE
• PDELab
• NewtonLib

Cites Work

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