A new multipoint flux approximation method with a quasi-local stencil (MPFA-QL) for the simulation of diffusion problems in anisotropic and heterogeneous media
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Publication:2310629
DOI10.1016/j.apm.2019.01.033zbMath1465.76061OpenAlexW2913317794MaRDI QIDQ2310629
Paulo R. M. Lyra, Fernando R. L. Contreras, Darlan K. E. de Carvalho
Publication date: 6 April 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2019.01.033
Diffusion (76R50) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods applied to problems in solid mechanics (74S10)
Related Items (10)
A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes ⋮ A linearity-preserving technique for finite volume schemes of anisotropic diffusion problems on polygonal meshes ⋮ Relationship between the vertex-centered linearity-preserving scheme and the lowest-order virtual element method for diffusion problems on star-shaped polygons ⋮ A nonlinear repair technique for the MPFA-D scheme in single-phase flow problems and heterogeneous and anisotropic media ⋮ An algebraic multiscale solver for the simulation of two-phase flow in heterogeneous and anisotropic porous media using general unstructured grids (AMS-U) ⋮ An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes ⋮ A family of quadratic finite volume element schemes for anisotropic diffusion problems on triangular meshes ⋮ A non-linear finite volume method coupled with a modified higher order MUSCL-type method for the numerical simulation of two-phase flows in non-homogeneous and non-isotropic oil reservoirs ⋮ A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes ⋮ 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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