Application of the vortex-lattice concept to flows with smooth-surface separation

A nonlinear three dimensional vortex lattice method which treats the steady separated flow over prolate bodies with open separation moving through an inviscid incompressible fluid is developed. The strength and position of the body wake are found as part of the solution. Specifically, flows with smooth surface separation are considered as opposed to flows with sharp edge separation treated with the vortex lattice concept in the past. To demonstrate the technique, results for the flow over an inclined ogive cylinder are presented. In the case of separated flow, comparisions of the results of the vortex-lattice method are made with experimental data and with the results of a typical two dimensional analogy. The results demonstrate that the present method agrees most favorably with the experimental data windward of a separation line.