Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 230, Issue 22, Pages 8304-8312Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2011.07.030
Keywords
Two-phase flow; Galerkin finite element methods; Upwind schemes
Funding
- German Federal Ministry of Education and Research (BMBF)
- CLEAN
- Korea Institute of Geoscience and Mineral Resources
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Two alternatives of primary variables are compared for two-phase flow in heterogeneous media by solving fully established benchmarks. The first combination utilizes pressure of the wetting fluid and saturation of the non-wetting fluid as primary variables, while the second employs capillary pressure of the wetting fluid and pressure of the non-wetting fluid. While the standard Galerkin finite element method (SGFEM) is known to fail in the physical reproduction of two-phase flow in heterogeneous media (unless employing a fully upwind correction), the second scheme with capillary pressure as a primary variable without applying an upwind technique produces correct physical fluid behaviour in heterogeneous media, as observed from experiments. (C) 2011 Elsevier Inc. All rights reserved.
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