Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media

DOI10.1016/j.camwa.2021.06.017OpenAlexW3183236881MaRDI QIDQ2047606

Konstantin Brenner, Francesco Bonaldi, Roland Masson, Jérôme Droniou

Publication date: 20 August 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09860

zbMATH Keywords

convergence analysisporomechanicstwo-phase Darcy flowsgradient discretization methoddiscrete fracture matrix models

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)

Related Items (7)

Global existence of weak solutions to unsaturated poroelasticity ⋮ Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces ⋮ Mixed and Nitsche's discretizations of Coulomb frictional contact-mechanics for mixed dimensional poromechanical models ⋮ A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix-fracture interfaces ⋮ Mixed-dimensional poromechanical models of fractured porous media ⋮ Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces ⋮ Convergence of single rate and multirate undrained split iterative schemes for a fractured Biot model

Uses Software

• MA48

Cites Work

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