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Lagrangian single particle turbulent statistics through the Hilbert-Huang transform

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In this paper, a multiscale description of the Lagrangian velocity of the fluid particle is proposed. This is accomplished by applying a Hilbert based technique, namely Hilbert-Huang Transform, to a DNS database with Reλ = 400. An inertial range is observedonthefrequencyrange0.01<ωτη <0.1.Thescalingexponentsζ(q)arethenextractedwithoutresortingtheExtendedSelf Similarity procedure. The measured ζ(q) is consistent with the multifractal prediction in the Lagrangian frame as proposed in [Biferale et al., Phys. Rev. Lett. 93, 64502 (2004)].

Author(s):

Yongxiang Huang    
Shanghai Institute of Applied mathematics and Mechanics, Shanghai University
China

Luca Biferale    
Department of Physics and INFN, University of Tor Vergata
Italy

Enrico Calzavarini    
Laboratorie de Mécanique de Lille CNRS/UMR 8107, Université Lille
France

Chao Sun    
Physics of Fluids Group, University of Twente
Netherlands

Federico Toschi    
Department of Physics, and Department of Mathematics and Computer Science, and J.M. Burgerscentrum, Eindhoven University of Technology
Netherlands