Numerical simulation of two-dimensional Rayleigh-Bénard convection in an enclosure

Abstract

In this Note, a numerical approach based on the finite volume method and a full multigrid acceleration is used, applied to the classical Rayleigh Bénard convection problem. Fine grids corresponding to 2562 nodes are used and Benchmark solutions are proposed for Rayleigh numbers ranging from 103 to 106. Some streamlines and isotherms are presented to analyze the natural convection flow patterns set up by the buoyancy force. To cite this article: N. Ouertatani et al., C. R. Mecanique 336 (2008). © 2008 Académie des sciences.