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

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Wilczek,  Michael
Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Wilczek, M., Daitche, A., & Friedrich, R. (2011). On the velocity distribution in homogeneous isotropic turbulence: correlations and deviations from Gaussianity. Journal of Fluid Mechanics, 676, 191-217. doi:10.1017/jfm.2011.39.


Cite as: https://hdl.handle.net/21.11116/0000-0003-E071-0
Abstract
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 with respect to velocity play a key role. Direct
numerical simulations of the Navier-Stokes equation are used to
complement the theoretical results and assess deviations from
Gaussianity.