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 256 2 nodes are used and Benchmark solutions are proposed for Rayleigh numbers ranging from 10 3 to 10 6. 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).