Anisotropy favoring triangulation CVD(MPFA) finite-volume approximations

DOI10.1002/FLD.2412zbMath1427.76164OpenAlexW2127258717MaRDI QIDQ2892487

Mayur Pal, Michael G. Edwards

Publication date: 18 June 2012

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.2412

zbMATH Keywords

discretizationCVDreservoirpressurediscrete maximum principleunstructuredMPFA

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12)

Related Items (2)

Simulation of multi-component multi-phase fluid flow in two-dimensional anisotropic heterogeneous porous media using high-order control volume distributed methods ⋮ Continuous elliptic and multi-dimensional hyperbolic Darcy-flux finite-volume methods

Cites Work

• A quasi-positive family of continuous Darcy-flux finite-volume schemes with full pressure support
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• Double-families of quasi-positive Darcy-flux approximations with highly anisotropic tensors on structured and unstructured grids
• A compact multipoint flux approximation method with improved robustness
• Symmetric Positive Definite Flux-Continuous Full-Tensor Finite-Volume Schemes on Unstructured Cell-Centered Triangular Grids
• A Multipoint Flux Mixed Finite Element Method
• Numerical convergence of the MPFA O‐method and U‐method for general quadrilateral grids
• Higher‐resolution hyperbolic‐coupled‐elliptic flux‐continuous CVD schemes on structured and unstructured grids in 2‐D
• Higher‐resolution hyperbolic‐coupled‐elliptic flux‐continuous CVD schemes on structured and unstructured grids in 3‐D
• Convergence study of a family of flux‐continuous, finite‐volume schemes for the general tensor pressure equation
• On the convergence of the multi‐point flux approximation O‐method: Numerical experiments for discontinuous permeability

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