Physics
Scientific paper
Oct 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010njph...12j3046s&link_type=abstract
New Journal of Physics, Volume 12, Issue 10, pp. 103046 (2010).
Physics
6
Scientific paper
It has been found in previous work that the multi-scale statistics of homogeneous isotropic turbulence can be described by a stochastic 'cascade' process of the velocity increment from scale to scale, which is governed by a Fokker-Planck equation. We show in this paper how this description can be extended to obtain the complete multi-point statistics of the velocity field. We extend the stochastic cascade description by conditioning on the velocity value itself and find that the corresponding process is also governed by a Fokker-Planck equation, which contains as a leading term a simple additional velocity-dependent coefficient in the drift function. Taking into account the velocity dependence of the Fokker-Planck equation, the multi-point statistics in the inertial range can be expressed by the two-scale statistics of velocity increments, which are equivalent to the three-point statistics of the velocity field. Thus, we propose a stochastic three-point closure for the velocity field of homogeneous isotropic turbulence.
Peinke Joachim
Stresing Robert
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