Kolmogorov spectrum of superfluid turbulence: numerical analysis of the   Gross-Pitaevskii equation with the small scale dissipation
  The energy spectrum of superfluid turbulence is studied numerically by solving the Gross-Pitaevskii equation. We introduce the dissipation term which works only in the scale smaller than the healing length, to remove short wavelength excitations which may hinder the cascade process of quantized vortices in the inertial range. The obtained energy spectrum is consistent with the Kolmogorov law. 
M. Kobayashi and M. Tsubota