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.
This content is only available via PDF.
1974. The Society of Naval Architects and Marine Engineers
You can access this article if you purchase or spend a download.