Abstract
A double decomposition of phase space into both wave-number bands and spacially localized wave packets is used to derive model equations for an averaged time-dependent velocity or vorticity amplitude localized in both real and Fourier space. Intermittency develops in time, and correlation functions scale as the wave number to a universal power. Energy cascades to infinite wave number in a finite time in a series of self-similar pulses that propagate down our hierarchy of equations. A number of subgrid parametrizations are also examined. DOI: http://dx.doi.org/10.1103/PhysRevA.17.1166 © 1978 The American Physical Society