Physical model of intermittency in turbulence: Inertial-range non-Gaussian statistics
- 1 April 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 66 (13) , 1701-1704
- https://doi.org/10.1103/physrevlett.66.1701
Abstract
We present a physical model to describe the equilibrium probability distribution function (PDF) of velocity differences across an inertial-range distance in 3D isotropic turbulence. The form of the non-Gaussian PDF agrees well with data from direct numerical simulations. It is shown that these PDF’s obey a self-similar property, and the resulting inertial-range exponents of high-order velocity structure functions are in agreement with both experimental and numerical data. The model suggests a physical explanation for the phenomenon of intermittency and the nature of multifractality in fully developed turbulence, namely, local self-distortion of turbulent structures.Keywords
This publication has 11 references indexed in Scilit:
- Physical model of intermittency in turbulence: Near-dissipation-range non-Gaussian statisticsPhysical Review Letters, 1991
- Introduction to multifractals in dynamical systems theory and fully developed fluid turbulencePhysics Reports, 1990
- Singularities of the equations of fluid motionPhysical Review A, 1988
- Scale-dependent intermittency and coherence in turbulenceJournal of Scientific Computing, 1988
- The multifractal spectrum of the dissipation field in turbulent flowsNuclear Physics B - Proceedings Supplements, 1987
- On the multifractal nature of fully developed turbulence and chaotic systemsJournal of Physics A: General Physics, 1984
- High-order velocity structure functions in turbulent shear flowsJournal of Fluid Mechanics, 1984
- Experiments on internal intermittency and fine-structure distribution functions in fully turbulent fluidJournal of Fluid Mechanics, 1971
- A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds numberJournal of Fluid Mechanics, 1962
- Some specific features of atmospheric tubulenceJournal of Fluid Mechanics, 1962