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Natural Convection of Air in a Square Cavity: A Benchmark Numerical Solution

. International Journal for Numerical Methods in Fluids, 3 (3): 249--264 (1983)
DOI: 10.1002/fld.1650030305

Abstract

Details are given of the computational method used to obtain an accurate solution of the equations describing two-dimensional natural convection in a square cavity with differentially heated side walls. Second-order, central difference approximations were used. Mesh refnement and extrapolation led to solutions for 103Ra10 6 which are believed to be accurate to better than 1 per cent at the highest Rayleigh number and down to one-tenth of that at the lowest value.

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