A finite element method for degenerate two-phase flow in porous media. I. Well-posedness

DOI10.1515/jnma-2020-0004zbMath1482.65181OpenAlexW3122859288MaRDI QIDQ1983653

Loic Cappanera, Vivette Girault, Béatrice Rivière

Publication date: 10 September 2021

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2020-0004

zbMATH Keywords

stabilitymaximum principlecompactnesspressure-saturation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Liquid-gas two-phase flows, bubbly flows (76T10) Liquid-liquid two component flows (76T06)

Related Items (4)

A finite element method for degenerate two-phase flow in porous media. II: Convergence ⋮ Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow ⋮ An efficient and physically consistent numerical method for the Maxwell–Stefan–Darcy model of two‐phase flow in porous media ⋮ An energy stable, conservative and bounds‐preserving numerical method for thermodynamically consistent modeling of incompressible two‐phase flow in porous media with rock compressibility

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