Geometrical interpretation of the multi-point flux approximation L-method

DOI10.1002/fld.1926zbMath1166.76042OpenAlexW2127468063MaRDI QIDQ3497750

Rainer Helmig, Yufei Cao, Barbara I. Wohlmuth

Publication date: 27 July 2009

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1926

zbMATH Keywords

convergencetwo-phase flowDirichlet boundary conditionsporous media

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items

Multiphase flow simulation with gravity effect in anisotropic porous media using multipoint flux approximation ⋮ Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids ⋮ Fully implicit mixed-hybrid finite-element discretization for general purpose subsurface reservoir simulation ⋮ Monotone nonlinear finite-volume method for challenging grids ⋮ A fully implicit mimetic finite difference scheme for general purpose subsurface reservoir simulation with full tensor permeability ⋮ MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS ⋮ Numerical comparison of robustness of some reduction methods in rough grids ⋮ Convergence of the multipoint flux approximation L-method for homogeneous media on uniform grids

Uses Software

• PARDISO
• DUNE
• DuMuX

Cites Work

• Unnamed Item
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• Convergence of a symmetric MPFA method on quadrilateral grids
• Convergence of multipoint flux approximations on quadrilateral grids
• A compact multipoint flux approximation method with improved robustness
• Numerical convergence of the MPFA O‐method and U‐method for general quadrilateral grids
• On the convergence of the multi‐point flux approximation O‐method: Numerical experiments for discontinuous permeability