SIMULATION OF TIME-DEPENDENT FLOW IN CAVITIES WITH THE ADDITIVE-CORRECTION MULTIGRID METHOD .2. APPLICATIONS

An additive-correction multigrid method for the prediction of two-dime nsional unsteady flows, described in a previous article [1], is applie d to selected cavity flow problems. The cases considered are the lid-d riven cavity problem and the Buoyant flow in differentially heated cav ities. Accurate results are obtained for the lid driven cavity, where fine-grid, high-Reynolds-number calculations, indicate that the steady flow bifurcates to a periodic regime for a Reynolds value in the rang e 7,500-10,000. The results for side-heated rectangular enclosures are presented first for a Prandtl number equal to Zero, and corresponding values of Grashof number of 1.2x10(5) and 1.6x10(5). In addition, a P randtl number of 0.71 is considered, with values of the Rayleigh numbe r of 1x10(8), 2x10(8), and 2x10(9). The study demonstrates that the ad ditive correction multigrid method is computationally efficient, and i s capable of performing accurate simulations of time-dependent, and po ssibly chaotic, flows in enclosures.