Natural convection in porous media—dual reciprocity boundary element method solution of the Darcy model

✍ Scribed by Božidar Šarler; Dominique Gobin; Benoît Goyeau; Janez Perko; Henry Power

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 358 KB
• Volume: 33
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(20000530)33:2<279::aid-fld18>3.0.co;2-n

✦ Synopsis

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).