Two dimensional vorticity dynamic studied with two different particle methods

SUMMARY. In this paper two dimensional vorticity dynamic is studied using two different particle methods. The first one is a Diffusive Vortex Method (DVM) and the second one is a Smoothed Particle Hydrodynamics (SPH) method. These two popular methods presents some similarities linked to their meshless nature but they are based on different numerical approaches. In this work advantages and drawbacks are highlighted testing the particle methods on selected test-cases and performing heuristic convergence measurements. The DVM discussed in this work is characterized by the use of a computational grid to perform the vorticity diffusion process. This mesh redistribution avoid excessive clustering or rarefaction of the vortex particles ensuring robustness and high accuracy of the method.