Statistics of Fourier Modes of Velocity and Vorticity in Turbulent Flows : Intermittency and Long-Range Correlations

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 struct...

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Bibliographic Details
Published in:arXiv.org 2005-11
Main Authors: Chevillard, L, Mazellier, N, Poulain, C, Gagne, Y, Baudet, C
Format: Article
Language:English
Subjects:
Acoustic scattering
Computational fluid dynamics
Correlation analysis
Intermittency
Spectral resolution
Statistical analysis
Turbulence
Velocity
Vorticity
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0506169