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Abstract
An additive-correction multigrid method for the prediction of two-dimensional unsteady flows, described in a previous article [1], is applied to selected cavity flow problems. The cases considered are the lid-driven cavity problem and the buoyant flow in differentially heated cavities. 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 range 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 1.2 × 105 and 1.6 × 105. In addition, a Prandtl number of 0.71 is considered, with values of the Rayleigh number of 1 × 108, 2 × 108, and 2 × 109. The study demonstrates that the additive-correction multigrid method is computationally efficient, and is capable of performing accurate simulations of time-dependent, and possibly chaotic, flows in enclosures.
Notes
Address correspondence to Enrico Nobile, DINMA, Sezione di Fisica Tecnica, Università di Trieste, Via A. Valerio, 10-34127 Trieste, Italy. E-mail: [email protected]
