@article{Salinas:2017:10.1016/j.jcp.2017.09.058,
author = {Salinas, P and Pavlidis, D and Xie, Z and Osman, H and Pain, CC and Jackson, MD},
doi = {10.1016/j.jcp.2017.09.058},
journal = {Journal of Computational Physics},
pages = {602--614},
title = {A Discontinuous Control Volume Finite Element Method for Multi-Phase Flow in Heterogeneous Porous Media},
url = {http://dx.doi.org/10.1016/j.jcp.2017.09.058},
volume = {352},
year = {2017}
}

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TY  - JOUR
AB  - We present a new, high-order, control-volume-finite-element (CVFE) method for multiphase porous media flow with discontinuous 1st-order representation for pressure and discontinuous 2nd-order representation for velocity. The method has been implemented using unstructured tetrahedral meshes to discretize space. The method locally and globally conserves mass. However, unlike conventional CVFE formulations, the method presented here does not require the use of control volumes (CVs) that span the boundaries between domains with differing material properties. We demonstrate that the approach accurately preserves discontinuous saturation changes caused by permeability variations across such boundaries, allowing efficient simulation of flow in highly heterogeneous models. Moreover, accurate solutions are obtained at significantly lower computational cost than using conventional CVFE methods. We resolve a long-standing problem associated with the use of classical CVFE methods to model flow in highly heterogeneous porous media.
AU  - Salinas,P
AU  - Pavlidis,D
AU  - Xie,Z
AU  - Osman,H
AU  - Pain,CC
AU  - Jackson,MD
DO  - 10.1016/j.jcp.2017.09.058
EP  - 614
PY  - 2017///
SN  - 0021-9991
SP  - 602
TI  - A Discontinuous Control Volume Finite Element Method for Multi-Phase Flow in Heterogeneous Porous Media
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2017.09.058
UR  - http://hdl.handle.net/10044/1/51443
VL  - 352
ER  - 

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