How convergent Navier-Stokes scaling circumvents helical obstacles

Convergent scaling of √νZ(t), (Z enstrophy, ν viscosity) at a ν-independent time tx was originally identified during the reconnection of perturbed trefoil vortex knots (JFM 839, R2, 2018) and can now be identified for symmetric trefoil knots, simulations of coiled vortex rings, orthogonal vortices and the Taylor-Green vortex, at an interior reconnection location. tx is coincident with the completion of the first reconnection event and depends upon the interacting vortices' joint circulation Γ and separation scale, but is independent of the core radius. Rescaling as Bν(t) = (√νZ(t))−1/2 gives inverse linear for t ≤ tx. Implying Zν(t) ∼ ν−1/2(Tc(ν) − t)−2. For the trefoils, enstrophy growth accelerates sufficiently after reconnection to allow ν-independent finite energy dissipation in a finite time tε : ∆Eε =∫ tε ε dt as ν → 0. The interacting vortices in each case are locally orthogonal and nearly conserve both the circulation and the global helicity H=∫ h dV up to tx Usually H > 0 blocks enstrophy growth, why not here? It is growing h < 0 vortex sheets, which maintain dZ/dt > 0 while simultaneously allowing structures to viscously reconnect away from the strong h > 0 regions.