A fully coupled scheme using virtual element method and finite volume for poroelasticity

DOI10.1007/s10596-019-09831-wzbMath1434.86001OpenAlexW2957719750WikidataQ127475056 ScholiaQ127475056MaRDI QIDQ2185955

Frédéric Nataf, Vivette Girault, Nicolas Guy, Julien Coulet, Isabelle Faille

Publication date: 8 June 2020

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

Full work available at URL: https://hal-ifp.archives-ouvertes.fr/hal-01947455/file/coulet_comg_hal.pdf

zbMATH Keywords

finite volume methodsreservoir simulationgeomechanicsporoelasticitypolyhedral gridsvirtual element methods

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computational methods for problems pertaining to geophysics (86-08) General questions in geophysics (86A04) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (13)

SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis ⋮ VIRTUAL ELEMENT APPROXIMATIONS FOR TWO SPECIES MODEL OF THE ADVECTION-DIFFUSION-REACTION IN POROELASTIC MEDIA ⋮ A robust and mass conservative virtual element method for linear three-field poroelasticity ⋮ Construction of generalized shape functions over arbitrary polytopes based on scaled boundary finite element method's solution of Poisson's equation ⋮ A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix-fracture interfaces ⋮ Numerical solution of the Biot/elasticity interface problem using virtual element methods ⋮ A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model ⋮ Virtual element methods for the three-field formulation of time-dependent linear poroelasticity ⋮ An optimization approach for flow simulations in poro-fractured media with complex geometries ⋮ On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity ⋮ A mixed virtual element method for Biot's consolidation model ⋮ A robust VEM-based approach for flow simulations in poro-fractured media ⋮ Virtual elements for sound propagation in complex poroelastic media

Uses Software

• Neper

Cites Work

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