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Natural convection in porous media—dual reciprocity boundary element method solution of the Darcy model
Author(s) -
Šarler Božidar,
Gobin Dominique,
Goyeau Benoît,
Perko Janez,
Power Henry
Publication year - 2000
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(20000530)33:2<279::aid-fld18>3.0.co;2-n
Subject(s) - boundary element method , mathematics , reciprocity (cultural anthropology) , natural convection , finite element method , porous medium , boundary value problem , mathematical analysis , laplace's equation , mechanics , convection , physics , porosity , materials science , thermodynamics , psychology , social psychology , composite material
This paper describes the solution of a steady state natural convection problem in porous media by the dual reciprocity boundary element method (DRBEM). The boundary element method (BEM) for the coupled set of mass, momentum, and energy equations in two dimensions is structured by the fundamental solution of the Laplace equation. The dual reciprocity method is based on augmented scaled thin plate splines. Numerical examples include convergence studies with different mesh size, uniform and non‐uniform mesh arrangement, and constant and linear boundary field discretizations for differentially heated rectangular cavity problems at filtration with Rayleigh numbers of Ra *=25, 50, and 100 and aspect ratios of A =1/2, 1, and 2. The solution is assessed by comparison with reference results of the fine mesh finite volume method (FVM). Copyright © 2000 John Wiley & Sons, Ltd.