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

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.

References in corpus (3)

• Computing Nearly Singular Solutions Using Pseudo-Spectral Methods
• Dynamical Origins for Non-Gaussian Vorticity Distributions in Turbulent Flows
• Single-point velocity distribution in turbulence

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