Two-dimensional vortex pair interaction with the wedge

Abstract

The problem of interaction of two-dimensional localized vortex dipole with an edge of the wedge, which moving perpendicular to one of the wedge surfaces at the initial moment is considered. Experimental studies have shown that the vortex dipoles at the approach to the solid surface are separated, and vortices moved in opposite directions. Vortex structure, when interacting with a sharp edge, generates secondary vortices that may form new vortex dipoles. The numerical model for the interaction of vortex dipole with an edge of the wedge, based on the model of point vortices in the approximation of an ideal incompressible fluid is formed. To avoid infinite velocities at the sharp edge model used Kutta-Zhukovsky condition, which adequately describes generating process of the secondary vorticity near the sharp edge. Comparative analysis of transferring processes of fluid forming at the initial moment “vortex atmosphere” shows good agreement of numerical results and experimental data.