A Splitting-free Vorticity Redistribution Method
For computational fluid dynamics researchers, this method improves efficiency and accuracy of vortex methods.
The paper presents a splitting-free vorticity redistribution method that achieves second-order convergence and is about three times faster than the fast multipole method for velocity computation.
We present a splitting-free variant of the vorticity redistribution method. Spatial consistency and stability when combined with a time-stepping scheme are proven. We propose a new strategy preventing excessive growth in the number of particles while retaining the order of consistency. The novel concept of small neighbourhoods significantly reduces the method's computational cost. In numerical experiments the method showed second order convergence, one order higher than predicted by the analysis. Compared to the fast multipole code used in the velocity computation, the method is about three times faster.