SPH conservation of circulation in breaking wave processes

In the present work we check the ability of the Smoothed Particle Hydrodynamics solvers to correctly account for both the conservation and generation of circulation during breaking wave processes. This is made by considering different examples of increasing complexity and testing the numerical results through the Stokes and Kelvin theorems. In all the cases the SPH seems to correctly predict both the conservation and the evolution of the vorticity and circulation.