Abstract:Today, the study of unsteady, nonlinear interactions between vortices, turbulence and free surfaces is a very active research field in fluid mechanics. It has both theoretical and important practical backgrounds.The interactions involve very complicated nonlinear and unsteady processes, including vortex vortex, wave vortex interactions, the breaking, reunion, and merging of vortices near free surfaces. Moreover, the complex dynamical processes of formations and developments of semi coherent structures ne...