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A two‐scale domain decomposition method for computing the flow through a porous layer limited by a perforated plate
Author(s) -
Dufrêche J.,
Prat M.,
Schmitz P.
Publication year - 2003
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/fld.538
Subject(s) - domain decomposition methods , computation , porous medium , gravitational singularity , domain (mathematical analysis) , scale (ratio) , mechanics , flow (mathematics) , porosity , mathematics , mathematical analysis , materials science , geometry , physics , algorithm , finite element method , thermodynamics , composite material , quantum mechanics
Abstract A two‐scale domain decomposition method is developed in order to study situations where the macroscopic description of a given transport process in porous media does not represent a sufficiently good approximation near singularities (holes, wells, etc.). The method is based on a decomposition domain technique with overlapping. The governing equations at the scale of the microstructure are solved in the vicinity of the singularities whereas the volume averaged transport equations are solved at some distance of the singularities. The transfer of information from one domain to the other is performed using results of the method of volume averaging. The method is illustrated through the computation of the overall permeability of a porous layer limited by a perforated plate. As shown in the example treated, the method allows one to estimate the useful size of the microscopic region near the singularities. As illustrated in the paper, the method can lead to a considerable gain in memory requirement compared to a full direct simulation. Copyright © 2003 John Wiley & Sons, Ltd.