Simulation of multiphase porous media flows with minimising movement and finite volume schemes

DOI10.1017/S0956792518000633zbMath1425.76158arXiv1802.01321MaRDI QIDQ5242583

Thomas O. Gallouët, Maxime Laborde, Clément Cancès, Léonard Monsaingeon

Publication date: 12 November 2019

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01321

zbMATH Keywords

augmented Lagrangian methodfinite volumesWasserstein gradient flowmultiphase porous media flowsminimising movement scheme

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Finite volume methods applied to problems in fluid mechanics (76M12) Degenerate parabolic equations (35K65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

A velocity-vorticity method for highly viscous 3D flows with application to digital rock physics ⋮ A convergent finite volume scheme for dissipation driven models with volume filling constraint ⋮ Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker--Planck Equations in Multiple Dimensions ⋮ A variational finite volume scheme for Wasserstein gradient flows ⋮ Data-driven gradient flows

Uses Software

• FreeFem++

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