Improving the robustness of the control volume finite element method with application to multiphase porous media flow

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Title: Improving the robustness of the control volume finite element method with application to multiphase porous media flow
Authors: Salinas, P
Pavlidis, D
Xie, Z
Jacquemyn, C
Melnikova, Y
Jackson, MD
Pain, CC
Item Type: Journal Article
Abstract: Control volume finite element methods (CVFEMs) have been proposed to simulate flow in heterogeneous porous media because they are better able to capture complex geometries using unstructured meshes. However, producing good quality meshes in such models is nontrivial and may sometimes be impossible, especially when all or parts of the domains have very large aspect ratio. A novel CVFEM is proposed here that uses a control volume representation for pressure and yields significant improvements in the quality of the pressure matrix. The method is initially evaluated and then applied to a series of test cases using unstructured (triangular/tetrahedral) meshes, and numerical results are in good agreement with semianalytically obtained solutions. The convergence of the pressure matrix is then studied using complex, heterogeneous example problems. The results demonstrate that the new formulation yields a pressure matrix than can be solved efficiently even on highly distorted, tetrahedral meshes in models of heterogeneous porous media with large permeability contrasts. The new approach allows effective application of CVFEM in such models.
Issue Date: 11-May-2017
Date of Acceptance: 24-Mar-2017
ISSN: 1097-0363
Publisher: Wiley
Start Page: 235
End Page: 246
Journal / Book Title: International Journal for Numerical Methods in Fluids
Volume: 85
Issue: 4
Copyright Statement: Copyright © 2017 The Authors International Journal for Numerical Methods in Fluids Published by John Wiley & Sons Ltd This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Sponsor/Funder: Exxon Mobil Upstream Research Company
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (E
Funder's Grant Number: EM08154
Keywords: Science & Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Mathematics, Interdisciplinary Applications
Physics, Fluids & Plasmas
Computer Science
CVFEM mixed formulation
discontinuous galerkin
darcy flow
multiphase flow
porous media
unstructured mesh
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Applied Mathematics
Publication Status: Published
Appears in Collections:Faculty of Engineering
Earth Science and Engineering
Chemical Engineering

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