Energy Stable Discretization for Two-Phase Porous Media Flows

DOI10.1007/978-3-030-43651-3_18zbMath1454.65113OpenAlexW3002829704MaRDI QIDQ5117439

Flore Nabet, Clément Cancès

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_18

zbMATH Keywords

two-phase porous media flowsenergy stable finite-elements

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) 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) Liquid-liquid two component flows (76T06)

Cites Work

• Introduction to modelling of transport phenomena in porous media
• Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure
• Mathematical study of a petroleum-engineering scheme
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