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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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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
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creator	Chevillard, L Mazellier, N Poulain, C Gagne, Y Baudet, C
description	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.
doi_str_mv	10.48550/arxiv.0506169
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subjects	Acoustic scattering Computational fluid dynamics Correlation analysis Intermittency Spectral resolution Statistical analysis Turbulence Velocity Vorticity
title	Statistics of Fourier Modes of Velocity and Vorticity in Turbulent Flows : Intermittency and Long-Range Correlations
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