In this section
@article{Salinas:2017:10.1002/fld.4381,
author = {Salinas, P and Pavlidis, D and Xie, Z and Jacquemyn, C and Melnikova, Y and Jackson, MD and Pain, CC},
doi = {10.1002/fld.4381},
journal = {International Journal for Numerical Methods in Fluids},
pages = {235--246},
title = {Improving the robustness of the control volume finite element method with application to multiphase porous media flow},
url = {http://dx.doi.org/10.1002/fld.4381},
volume = {85},
year = {2017}
}
TY - JOUR
AB - 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.
AU - Salinas,P
AU - Pavlidis,D
AU - Xie,Z
AU - Jacquemyn,C
AU - Melnikova,Y
AU - Jackson,MD
AU - Pain,CC
DO - 10.1002/fld.4381
EP - 246
PY - 2017///
SN - 1097-0363
SP - 235
TI - Improving the robustness of the control volume finite element method with application to multiphase porous media flow
T2 - International Journal for Numerical Methods in Fluids
UR - http://dx.doi.org/10.1002/fld.4381
UR - http://hdl.handle.net/10044/1/46000
VL - 85
ER -