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arXiv · 1010.1289

Stochastic Dynamical Model of Intermittency in Fully Developed Turbulence

Domingos S. P. Salazar·Giovani L. Vasconcelos
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Abstract

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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Domingos S. P. Salazar, Giovani L. Vasconcelos. 2010-10-06. Stochastic Dynamical Model of Intermittency in Fully Developed Turbulence. https://doi.org/10.1103/physreve.82.047301

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