Vortical flows impinging upon leading-edges of a body cause unsteady loading and noise generation in a number of cases: helicopter rotors ,marine propellers, as well as supersonic intakes and cavities. The mechanism of the interaction is studied especially for a single Rankine vortex impinging upon a wedge. A fast, accurate hybrid vortex method is used for computing incompressible, viscous flows at large Raynolds numbers in a two-dimensional unbounded domain. The random vortex method is used to model the flow away from the body and the vortex sheet method is used to model the flow near the body. A local correction method is used to accelerate the velocity computation. The method requires fewer calculations than the straightforward vortex method in the velocity calculation. However, this method does not sacrifice the higher-oder accuracy. The Rankine vorticity field is represented by vortex blobs. The no-flow boundary condition is satisfied by the Schwarz-Christoffel conformal maping and the no-slip condition is satisfied by generating the vortex sheet or blobs, which cancel the induced velocity at the surface. Vortex trajectory, velocity profiles and vorticity contour are calculated. It is observed that the incident vortex distorts and splits, and the different types of the secondary vorticity shed near the leading edge depending upon the incident vortex strength, position, and the angle of the wedge.