Intermittency and predictability in turbulence
- 11 January 1993
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 70 (2) , 166-169
- https://doi.org/10.1103/physrevlett.70.166
Abstract
We discuss the relation between predictability and the sensitive dependence on initial conditions in turbulent flows. We find that the maximum Lyapunov exponent lambda and the variance of the effective Lyapunov exponent diverge as a power of the Reynolds number with scaling exponents which can be calculated from the eddy turnover time at the Kolmogorov length using the multifractal approach. The intermittency leads to long tails in the distribution of the predictability time. The typical predictability time T is related to the value of lambda-1. We provide numerical evidence of this picture within the framework of a cascade model for three-dimensional fully developed turbulenceKeywords
This publication has 16 references indexed in Scilit:
- A Prediction of the Multifractal Model: the Intermediate Dissipation RangeEurophysics Letters, 1991
- Scaling laws for invariant measures on hyperbolic and nonhyperbolic atractorsJournal of Statistical Physics, 1988
- Anomalous scaling laws in multifractal objectsPhysics Reports, 1987
- Degrees of freedom of turbulencePhysical Review A, 1987
- Intermittency as multifractality in history spaceJournal of Physics A: General Physics, 1986
- Fluctuations of dynamical scaling indices in nonlinear systemsPhysical Review A, 1986
- Characterisation of intermittency in chaotic systemsJournal of Physics A: General Physics, 1985
- On the multifractal nature of fully developed turbulence and chaotic systemsJournal of Physics A: General Physics, 1984
- Microscopic fluctuations and turbulencePhysics Letters A, 1979
- Kolmogorov entropy and numerical experimentsPhysical Review A, 1976