The theory of point vortex dynamics has existed since Kirchhoff’s proposal in 1891 and is still under development with connections to many fields in mathematics. As a strong simplification of the concept of vorticity it excels in computational speed for vorticity based fluid simulations at the cost of accuracy. Recent finding by Stefanella Boatto and Jair Koiller allowed the extension of this theory on to closed surfaces.
Supplement material can be found on https://github.com/marcelpadilla/Point-Vortex-Dynamics-on-Closed-Surfaces .
Point Vortex Dynamics on Closed Surfaces.
Master's thesis, Technische Universität Berlin, April 2018.
Marcel Padilla +