期刊
JOURNAL OF FLUID MECHANICS
卷 676, 期 -, 页码 191-217出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2011.39
关键词
isotropic turbulence; turbulence simulation; turbulence theory
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.
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