Finite volume multigrid prediction of laminar natural convection: Bench-mark solutions

摘要: A finite volume multigrid procedure for the prediction of laminar natural convection flows is presented, enabling efficient and accurate calculations on very fine grids. The method fully conservative uses second-order central differencing diffusion fluxes. start a coarse (typically 10 × control volumes) grid proceed to finer grids until desired accuracy or maximum affordable storage reached. computing times increase thereby linearly with number volumes. Solutions are presented flow in closed cavity side walls at different temperatures insulated top bottom walls. Rayleigh numbers 104, 105 106 considered. Grids as 640 volumes used results believed be within 0–01%. Second-order monotonic convergence grid-independent values observed all predicted quantities.