Video 5

Movie S5. The density isosurface and helistogram for a Gross–Pitaevskii simulated trefoil vortex knot with mean radius r¯=36ξ. The final topology (two unlinked rings) is the same as the viscous fluid trefoil vortex knot, although all three reconnections happen simultaneously due to the perfect symmetry of the simulation.

Helicity conservation by flow across scales in reconnecting vortex links and knots

Martin W. Scheeler, Dustin Kleckner, Davide Proment, Gordon L. Kindlmann, and William T. M. Irvine

PNAS. 2014. 111:15350-15355 DOI: 10.1073/pnas.1407232111