Abstract
Seven finite difference computations for convection in a square cavity at Rayleigh number ∼O(106) have been carried out for a variety of dynamical boundary conditions, Rayleigh numbers, and Prandtl numbers. The results indicate that various horizontal dynamical boundary conditions virtually make no difference to the main boundary-layer flow although free vertical boundaries double the velocity in the boundary layer adjacent to them. The scaled fields in the vertical boundary layers are independent of the Rayleigh number, and to a large extent, independent of the Prandtl number, when the two vertical boundary layers are distinct. The results compare reasonably well with Elder's experiments.
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