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Mass Conservative Approximation of Single and Two Phase Flow in Porous Media
Author(s) -
Bause Markus
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810967
Subject(s) - porous medium , polygon mesh , permeability (electromagnetism) , flow (mathematics) , mechanics , porosity , mass flux , geology , single phase , computer science , mathematics , geometry , physics , geotechnical engineering , chemistry , engineering , electrical engineering , biochemistry , membrane
In this paper a new error estimate for a multi point flux approximation ( MPFA ) control volume method on triangular meshes for approximating flow in porous media is presented. The scheme is mass conservative and has shown to simulate reliably flows with discontinuous permeability tensors and on irregular grids which is the major challenge in hydrological engineering. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)