Tracking the vortex motion by using Brownian fluid particles

In this paper, we propose a simple yet powerful vortex method to numerically approximate the dynamics of an incompressible flow. The idea is sample distribution initial vortices fluid flow in question and then follow along Taylor's Brownian particles. weak convergences approximation scheme are obtained for both two-dimensional (2D) three-dimensional (3D) flows, though only small time 3D case. Based on our method, simulation results quite attracting.