Self-similarity and the direct (enstrophy) cascade in two-dimensional fluid turbulence

Mateo Reynoso, Dmitriy Zhigunov, Roman O. Grigoriev

A widely used statistical theory of 2D turbulence developed by Kraichnan, Leith, and Batchelor (KLB) predicts a power-law scaling for the energy, $E(k)\propto k^{\hat{I}}\pm$ with an integra…