  A method is described for predicting statistical properties of turbulence.
Collections of Fourier amplitudes are represented by nonuniformly spaced modes
with enhanced coupling coefficients. The statistics of the full dynamics can be
recovered from the time-averaged predictions of the reduced model. A Liouville
theorem leads to inviscid equipartition solutions. Excellent agreement is
obtained with two-dimensional forced-dissipative pseudospectral simulations.
For the two-dimensional enstrophy cascade, logarithmic corrections to the
high-order structure functions are observed.
