Conservation and flow of helicity across scales in reconnecting vortex knots and links (INVITED)

Abstract eng:
The helicity of a fluid is a conserved quantity in idealized fluids, such as Euler fluids and thus offers the potential for fundamental insights into fluid flow. In real fluids, progress has been hindered by lack of accessible experimental and model systems. I will describe how to make vortex knots and links in water (in experiment), in the wave function of a superfluid (on a computer) and what happens thereafter. In particular, I will talk about how in helicity conservation, linking, coiling and twisting interplay across scales. Finally, I will describe experimental and numerical progress towards exploring the effects of helicity on turbulent flows.

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