VERTEX CENTRED DISCRETIZATION OF TWO-PHASE DARCY FLOWS ON GENERAL MESHES

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Vertex-centred discretization of multiphase compositional Darcy flows on general meshes (2012, methodology): “σ −Λ∇ū · nσdσ on a given face σ of the mesh, the mathematical analysis developed in [25] shows that they lead to a convergent scheme, at least ha l-0 07 06 24 4, v er si on 1 14 J un 2 01 2”
TP or not TP, that is the question (2014, methodology): “The following convergence proof can be extended to upstream weighting discretizations provided that a scheme-dependent construction of the discrete Darcy fluxes is given (see [3] for the SUSHI scheme, and [5] for the Vertex Approximate Gradient scheme).”
Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media (2014, methodology): “The VAG scheme has been introduced for the discretization of multiphase immiscible Darcy flows in [14] and in [15] for compositional models.”