Our objective was to develop a numerical method for steady-state cavity flows that provides a systematic correction of an initial, assumed free streamline position. The method uses a finite-difference representation with velocities as dependent variables and obtains a solution by successive-over-relaxation. While applicable to three-dimensional flows, the method was implemented only for a two-dimensional flow. For the free streamline, the constant-pressure condition is satisfied on a known, but approximate location. Then, the tangency condition is used to compute a better location of the streamline. This technique overcomes problems encountered by previous investigators.

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