Grid orientation effect in coupled finite volume schemes

DOI10.1093/IMANUM/DRS016zbMath1328.76046OpenAlexW2077319142MaRDI QIDQ4920238

Roland Masson, Robert Eymard, Cindy Guichard

Publication date: 16 May 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drs016

zbMATH Keywords

finite volume schemegrid orientation effecttwo-phase flow in porous medium

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Design of coupled finite volume schemes minimizing the grid orientation effect in reservoir simulation ⋮ A cell-centered multipoint flux approximation method with a diamond stencil coupled with a higher order finite volume method for the simulation of oil-water displacements in heterogeneous and anisotropic petroleum reservoirs ⋮ Design of Coupled Finite Volume Schemes Minimizing the Grid Orientation Effect in Reservoir Simulation ⋮ Numerical solution of a two dimensional tumour growth model with moving boundary ⋮ Unified convergence analysis of numerical schemes for a miscible displacement problem ⋮ Fully implicit multidimensional hybrid upwind scheme for coupled flow and transport ⋮ A very high-order flux reconstruction approach coupled to the MPFA-QL finite volume method for the numerical simulation of oil-water flows in 2D petroleum reservoirs

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