Vortex shedding from a two-dimensional cylinder beneath a rigid wall and a free surface according to the discrete vortex method

We investigated the hydrodynamic characteristics and vorticity fields for flow past a 2D circular cylinder beneath a rigid wall and an air-water free surface. It is of practical importance to generalize the viscous mesh-free DVM to cases of flow past a 2D circular cylinder beneath a rigid wall and a free surface. We adopted the image method, which replaces the rigid wall with image singularities, to study the vortex shedding from a circular cylinder in proximity to a rigid wall. Using the Green function for the unsteady motion of a point vortex under a deformable free surface, we applied a linear free surface effect to investigate the hydrodynamic parameters and vortex shedding generated by a 2D stationary circular cylinder under a free surface.