Stochastic Dynamical Model of Intermittency in Fully Developed Turbulence

Details Stochastic Dynamical Model of Intermittency in Fully Developed Turbulence Stochastic Dynamical Model of Intermittency in Fully Developed Turbulence

2010-10-06

arxiv.org/abs/1010.1289v1

Phys. Rev. E 82, 047301 (2010)

Physics

Fluid Dynamics

10 pages, 2 figures. To appear in Physical Review E

Scientific paper

10.1103/PhysRevE.82.047301

A novel model of intermittency is presented in which the dynamics of the rates of energy transfer between successive steps in the energy cascade is described by a hierarchy of stochastic differential equations. The probability distribution of velocity increments is calculated explicitly and expressed in terms of generalized hypergeometric functions of the type ${_n}F_0$, which exhibit power-law tails. The model predictions are found to be in good agreement with experiments on a low temperature gaseous helium jet. It is argued that distributions based on the functions ${_n}F_0$ might be relevant also for other physical systems with multiscale dynamics.

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