S. Danilov et D. Gurarie, Nonuniversal features of forced two-dimensional turbulence in the energy range - art. no. 020203, PHYS REV E, 6302(2), 2001, pp. 0203
We examine energy spectra, fluxes, and transfers of two-dimensional forced
incompressible turbulence with linear drag in the energy range, and find ma
rked departures from 5/3 law and the idea of locality. Any attempt to bring
the system into the "ideal cascade state" would result either in spectral
(bulge) or flux distortion. We corroborate this observation by DNS (spectra
l code) and eddy-damped quasinormal Markovian simulations. We examine the e
nergy peak wave number k(p), in terms of drag coefficient lambda, and energ
y dissipation rate epsilon, and find a relation k(p) similar to C (lambda (
3)/epsilon)(1/2) to hold with C approximate to 50, but only within a limite
d range of parameters.