Vortex Methods for Fluid Simulation

Recently, it has been published a research on vorticity methods with very promising results. The authors state that "vortex methods have not been developed yet to the level of other techniques for fluid simulation in computer graphics".
In their work, they try to solve vorticity flow equations to produce highly detailed visual fluid simulations. Here are the results: https://www.ruor.uottawa.ca/fr/bitstream/handle/10393/23647/Vines_Neuwirth_Mauricio_Alfredo_2013_video.mov?sequence=5

As in the previous post, this work is focused on 3D elements; but still can be of interest if it can be applicable into a 2D world.