A Study on Topological Vortex Ring Interactions Based on Möbius Loop and Hopf Link Concepts (3)
4. Superposition of Counter-rotating Vortex Rings and Knot Formation
The situation is radically different when two vortex rings with opposite circulation directions (counter-rotating) interact:
(1) Topological Description: Can be seen as the superposition of a positive Hopf link and a negative Hopf link. The total topological charge (net circulation) of the system is zero.
(2) Dynamical...