Abstract

Abstract The steady-state Navier-Stokes equations in three dimensions are solved by a penalty-finite-element method for the problems of wall-driven cavity flow in a cubical box and natural convection in a cubical cavity subjected to differential side heating. The present solutions are compared with recent finite-difference solutions of the wall-driven cavity problem for Reynolds numbersRE = 100 and 400. The agreement is found to be very good.

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