On the velocity distribution in homogeneous isotropic turbulence: correlations and deviations from Gaussianity

@article{Wilczek2011OnTV,
  title={On the velocity distribution in homogeneous isotropic turbulence: correlations and deviations from Gaussianity},
  author={Michael Wilczek and Anton Daitche and Rudolf Friedrich},
  journal={Journal of Fluid Mechanics},
  year={2011},
  volume={676},
  pages={191 - 217}
}
We investigate the single-point probability density function of the velocity in three-dimensional stationary and decaying homogeneous isotropic turbulence. To this end, we apply the statistical framework of the Lundgren–Monin–Novikov hierarchy combined with conditional averaging, identifying the quantities that determine the shape of the probability density function. In this framework, the conditional averages of the rate of energy dissipation, the velocity diffusion and the pressure gradient… 
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