Open AccessFinite volume schemes for two-phase flow in porous media
Author(s) -
Robert Eymard,
Thierry Gallouët
Publication year - 2004
Publication title -
computing and visualization in science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.519
H-Index - 44
eISSN - 1433-0369
pISSN - 1432-9360
DOI - 10.1007/s00791-004-0125-4
Subject(s) - porous medium , convergence (economics) , finite volume method , limit (mathematics) , flow (mathematics) , mathematics , volume (thermodynamics) , porosity , mechanics , computer science , mathematical optimization , mathematical analysis , geology , physics , geotechnical engineering , thermodynamics , economics , economic growth
The system of equations obtained from the conservation of multiphasic fluids in porous media is usually approximated by finite volume schemes in the oil reservoir simulation setting. The convergence properties of these schemes are only known in a few simplified cases. The aim of this paper is to present some new results of convergence in more complex cases. These results are based on an adaptation of the H-convergence notion to the limit of discrete approximates.
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