Numerical simulations of two-dimensional vortex-body interaction are calculated by using the 'Fast Random Vortex Method' which is developed in this study. Fast Random Vortex Method is an Euler-Lagrangian method to calculate the unsteady, viscous, incompressible flows in two dimensions. To verify the method, various problems are tested including the Falkner-Skan boundary layer, impulsively started circular cylinder.
To test the method used in this study, Falkner-Skan laminar boundary layer which is a kind of steady flowfield, are calculated by using the Random Vortex Sheet Method and Random Vortex Method, respectively. And to test the method for the unsteady flowfield, an impulsively started circular cylinder problem at Re=550, 3000, and 9500 is calculated by using the Random Vortex Method. The algorithm of the method originally proposed by Chorin, is improved in this study. And the result of the cylinder problem is improved in comparison with the other results using Vortex Methods.
Numerical simulations of vortex-body interactions are investigated by using the Fast Random Vortex Method. The mechanism of the interaction is studied numerically for a single Rankine vortex impinging upon a two-dimensional geometry. The geometries considered in the interactions are; two-dimensional plane wall and a wedge, respectively. In this paper, the effects of ⅰ)inviscid/viscous interactions, ⅱ) Reynolds number variation and ⅲ)the core size on the flowfield are analyzed. Vortex particle plots, velocity vectors and streamlines are presented at selected times for both inviscid and viscous interactions. The mechanism of the interaction, including the behavior of the incident and the secondary vortex, could well be explained by the numerical simulation.