Modeling vortex rings dynamics with vortex in cell method

Abstract

In this article we described Vortex in Cell method. We used it to research influence of the initial vorticity distribution inside the core of a vortex ring on its dynamics. We showed evolution of a vortex ring in time with two different initial distributions: uniform and Gaussian. The graphs for the theoretical and numerical velocities of a vortex ring were created. From presented results one can find out that the evolution of the vorticity around the core of the ring depends on the parameters of the ring and distribution of the vorticity inside the core.