Positive control volume finite element scheme for a degenerate compressible two-phase flow in anisotropic porous media

DOI10.1007/s10596-018-9783-zzbMath1411.65128OpenAlexW2898280436WikidataQ129033391 ScholiaQ129033391MaRDI QIDQ1741640

Mazen Saad, Mustapha Ghilani, El Houssaine Quenjel

Publication date: 6 May 2019

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

Full work available at URL: https://doi.org/10.1007/s10596-018-9783-z

zbMATH Keywords

anisotropic porous mediadegenerate compressible two phase flowpositive control volume finite element scheme

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Compressible fluids and gas dynamics (76N99)

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Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• TP or not TP, that is the question
• On the finite volume element method
• A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
• A nonlinear degenerate system modelling water-gas flows in porous media
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flows in porous media
• A combined finite volume-nonconforming finite element scheme for compressible two phase flow in porous media
• Two compressible immiscible fluids in porous media
• Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations
• Gradient schemes: Generic tools for the numerical analysis of diffusion equations
• CONVERGENCE OF A FINITE VOLUME SCHEME FOR GAS–WATER FLOW IN A MULTI-DIMENSIONAL POROUS MEDIUM
• On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems
• The Finite Volume Element Method for Diffusion Equations on General Triangulations
• On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
• Convergence d'un schéma de type éléments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique
• A Finite Volume Scheme for Two-Phase Immiscible Flow in Porous Media
• Finite volume approximation of degenerate two‐phase flow model with unlimited air mobility
• Study of Full Implicit Petroleum Engineering Finite-Volume Scheme for Compressible Two-Phase Flow in Porous Media
• Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• Mathematical study of a petroleum-engineering scheme