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Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure–explicit saturation‐based mixed finite element–finite volume approach
Author(s) -
Huber R.,
Helmig R.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990430)29:8<899::aid-fld715>3.0.co;2-w
Subject(s) - finite element method , discretization , multiphase flow , discontinuous galerkin method , mixed finite element method , porous medium , finite volume method , mathematics , extended finite element method , galerkin method , saturation (graph theory) , smoothed finite element method , flow (mathematics) , mechanics , mathematical analysis , geometry , porosity , physics , boundary knot method , engineering , thermodynamics , geotechnical engineering , combinatorics , boundary element method
Various discretization methods exist for the numerical simulation of multiphase flow in porous media. In this paper, two methods are introduced and analyzed—a full‐upwind Galerkin method which belongs to the classical finite element methods, and a mixed‐hybrid finite element method based on an implicit pressure–explicit saturation (IMPES) approach. Both methods are derived from the governing equations of two‐phase flow. Their discretization concepts are compared in detail. Their efficiency is discussed using several examples. Copyright © 1999 John Wiley & Sons, Ltd.