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Abstract:
We present results on the connection between the vorticity equation and
the shape and evolution of the single-point vorticity probability
density function. The statistical framework for these observations is
based on the classical hierarchy of evolution equations for the
probability density functions by Lundgren, Novikov, and Monin combined
with conditional averaging of the unclosed terms. The numerical
evaluation of these conditional averages provides insights into the
intimate relation of dynamical effects such as vortex stretching and
vorticity diffusion and non-Gaussian vorticity statistics.
