Second order structure functions in fully developed turbulence

Huang, Yx; Schmitt, François G; Lu, Zm.; Fougairolles, P.; Gagne, Y.; Liu, Yl.

Document type :

Article dans une revue scientifique: Article original

Title :

Second order structure functions in fully developed turbulence

Author(s) :

Huang, Yx [Auteur]
Schmitt, François G [Auteur]
Laboratoire d’Océanologie et de Géosciences (LOG) - UMR 8187 [LOG]
Lu, Zm. [Auteur]
Fougairolles, P. [Auteur]
Gagne, Y. [Auteur]
Liu, Yl. [Auteur]

Journal title :

Physical Review

Pages :

026319

Publisher :

American Physical Society (APS)

Publication date :

2010-08-27

ISSN :

0031-899X

HAL domain(s) :

Planète et Univers [physics]/Sciences de la Terre/Océanographie

English abstract : [en]

We relate the second-order structure function of a time series with the power spectrum of the original variable, taking an assumption of statistical stationarity. With this approach, we find that the structure function is ...
Show more >We relate the second-order structure function of a time series with the power spectrum of the original variable, taking an assumption of statistical stationarity. With this approach, we find that the structure function is strongly influenced by the large scales. The large-scale contribution and the contribution range are, respectively, 79% and 1.4 decades for a Kolmogorov -5/3 power spectrum. We show numerically that a single scale influence range, over smaller scales is about 2 decades. We argue that the structure function is not a good method to extract the scaling exponents when the data possess large energetic scales. An alternative methodology, the arbitrary order Hilbert spectral analysis which may constrain this influence within 0.3 decade, is proposed to characterize the scaling property directly in an amplitude-frequency space. An analysis of passive scalar (temperature) turbulence time series is presented to show the influence of large-scale structures in real turbulence and the efficiency of the Hilbert-based methodology. The corresponding scaling exponents ζ(θ)(q) provided by the Hilbert-based approach indicate that the passive scalar turbulence field may be less intermittent than what was previously believedShow less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Laboratoire d'Océanologie et de Géosciences (LOG) - UMR 8187

Source :

Harvested from HAL

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