A cell-centered control-volume distributed multi-point flux approximation (CVD-MPFA) finite- volume formulation is presented for discrete fracture-matrix simulations. The grid is aligned …
In this paper, we develop a new mixed finite element method for elliptic problems on general quadrilateral and hexahedral grids that reduces to a cell-centered finite difference scheme …
G Lin, J Liu, L Mu, X Ye - Journal of computational physics, 2014 - Elsevier
This paper presents a family of weak Galerkin finite element methods (WGFEMs) for Darcy flow computation. The WGFEMs are new numerical methods that rely on the novel concept …
KS Schmid, S Geiger, KS Sorbie - Journal of Computational Physics, 2013 - Elsevier
This paper presents higher order methods for the numerical modeling of two-phase flow with simultaneous transport and adsorption of viscosifying species within the individual phases in …
HA Friis, MG Edwards - Journal of Computational Physics, 2011 - Elsevier
A new family of cell-centered finite-volume schemes is presented for solving the general full- tensor pressure equation of subsurface flow in porous media on arbitary unstructured …
We introduce a new multiscale finite volume framework for the simulation of multi-phase flow in heterogenous and anisotropic porous media on quite general unstructured grids that …
In this chapter, we give a unified introduction to the MPFA-and MPSA-type finite volume methods for Darcy flow and poro-elasticity, applicable to general polyhedral grids. This …
A theoretical formulation and corresponding numerical solutions are presented for microscopic fluid flows in porous media with the domain sufficiently large to reproduce …
Abstract A novel Flux Limited Splitting (FLS) non-linear Finite Volume (FV) method for families of linear Control Volume Distributed Multi Point Flux Approximation (CVD-MPFA) …