Stationary spectrum of vorticity cascade in two-dimensional turbulence

The logarithmic renormalization predicted by Kraichnan (1971) for the direct cascade of enstrophy in the inertial range of two-dimensional turbulence has been observed in a numerical simulation. A moderate resolution allows for a very long time integration that provides very good statistics. Deviations from Gaussianity in the vorticity probability distribution are observed.