1887

Abstract

Summary

A three-dimensional symmetric positive definite (SPD) cell-centred control-volume distributed multi-point flux approximation (CVD-MPFA) is presented for porous media flow simulation on unstructured tetrahedral grids. The scheme depends on a single degree of freedom per control-volume and is derived in physical space, where the continuous fluxes are resolved directly along the face normals of the tetrahedra, maintaining exact grid geometry. Analysis and properties of the method will be presented.

Comparisons with the standard MPFA scheme shows that the new CVD-MPFA scheme yields well resolved pressure fields and improved convergence for homogeneous and heterogeneous as well as both isotropic and anisotropic full-tensor permeability fields.

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/content/papers/10.3997/2214-4609.201802149
2018-09-03
2020-04-02
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