Comparing nearly singular vorticity moments in Euler and Navier-Stokes numerical solutions

The inviscid growth of a range of vorticity moments in Navier-Stokes and Euler calculations are compared for simulations using a new anti-parallel initial condition. One goal is to understand the origins of a new hierarchy of rescaled vorticity moments in several Navier-Stokes calculations where the rescaled moments obey $D_m\geq D_{m+1} $, the reverse of the usual $\Omega_{m+1}\geq\Omega_m$ H\"older ordering. Two temporal phases have been identified for the Euler calculations. In the first phase the $1