Statistics of Fourier Modes of Velocity and Vorticity in Turbulent Flows : Intermittency and Long-Range Correlations
arXiv:cond-mat/0506169 · doi:10.1103/PhysRevLett.95.200203
Abstract
We perform a statistical analysis of experimental fully developed turbulence longitudinal velocity data in the Fourier space. We address the controversial issue of statistical intermittency of spatial Fourier modes by acting on the finite spectral resolution. We derive a link between velocity structure functions and the flatness of Fourier modes thanks to cascade models. Similar statistical behaviors are recovered in the analysis of spatial Fourier modes of vorticity obtained in an acoustic scattering experiment. We conclude that vorticity is long-range correlated and found more intermittent than longitudinal velocity.
arXiv comment5 pages, 3 figures, published, minor revisions
References in corpus (6)
- Microscopic Models for Long Ranged Volatility Correlations
- Generalizing the wavelet-based multifractal formalism to vector-valued random fields: application to turbulent velocity and vorticity 3D numerical data
- On the Rapid Increase of Intermittency in the Near-Dissipation Range of Fully Developed Turbulence
- "Turbulent" electrical transport in Copper powders
- Inertial- and Dissipation-Range Asymptotics in Fluid Turbulence
- A model for rapid stochastic distortions of small-scale turbulence