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

ABSTRACT: The conjecture that helicity (or knottedness) is a fundamental conserved quantity has a rich history in fluid mechanics, but the nature of this conservation in the presence of dissipation has proven difficult to resolve. Making use of recent advances, we create vortex knots and links in viscous fluids and simulated superfluids and track their geometry through topology-changing reconnections. We find that the reassociation of vortex lines through a reconnection enables the transfer of helicity from links and knots to helical coils. This process is remarkably efficient, owing to the antiparallel orientation spontaneously adopted by the reconnecting vortices. Using a new method for quantifying the spatial helicity spectrum, we find that the reconnection process can be viewed as transferring h

SUBMITTER: Scheeler MW 

PROVIDER: S-EPMC4217404 | biostudies-literature | 2014 Oct

REPOSITORIES: biostudies-literature