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Abstract
This article presents details and performance of a pressure-based multigrid procedure for natural-convection fluid flows in complex geometries. A control-volume finite-element method using triangular elements is employed to discretize the governing equations. The multigrid technique provides rapid convergence of the numerical solution. Three different geometries are investigated, and the performance of the method at several grid densities and Rayleigh numbers is reported. Also, representative flow fields and temperature contours are presented.
Notes
Address correspondence to Dr. S. Pratap Vanka, Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, 140 Mechanical Engineering Building, MC-244, 1206 W. Green Street, Urbana, IL 61801, USA.