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Parallel computations of natural convection flow in a tall cavity using an explicit finite element method

An explicit finite element method was used to predict a natural convection flow in an enclosed cavity. The problem considered was a differentially heated, tall (8:1), rectangular cavity with a Rayleigh number of 3.4 × 105 and Prandtl number of 0.71. The incompressible Navier–Stokes equations were solved using a Boussinesq approximation for the buoyancy force. The algorithm was developed for efficient use on massively parallel computer systems with emphasis on time‐accurate simulations. It was found that the average temperature and velocity values can be captured with a relatively coarse grid, while the oscillation amplitude and period appear to be grid sensitive and require a refined computation. Copyright © 2002 John Wiley & Sons, Ltd.