Lagrangian single-particle turbulent statistics through the Hilbert-Huang transform (Articolo in rivista)

Type
Label
  • Lagrangian single-particle turbulent statistics through the Hilbert-Huang transform (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.87.041003 (literal)
Alternative label
  • Huang, Yongxiang and Biferale, Luca and Calzavarini, Enrico and Sun, Chao and Toschi, Federico (2013)
    Lagrangian single-particle turbulent statistics through the Hilbert-Huang transform
    in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Huang, Yongxiang and Biferale, Luca and Calzavarini, Enrico and Sun, Chao and Toschi, Federico (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 87 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 4 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Huang, YX (Reprint Author), Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R China. Huang, Yongxiang, Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R China. Biferale, Luca, Univ Roma Tor Vergata, Dept Phys, I-00133 Rome, Italy. Biferale, Luca, Univ Roma Tor Vergata, Ist Nazl Fis Nucl, I-00133 Rome, Italy. Calzavarini, Enrico, Univ Lille 1, Lab Mecan Lille, CNRS, UMR 8107, F-59650 Villeneuve Dascq, France. Sun, Chao, Univ Twente, Phys Fluids Grp, Fac Sci & Technol, JM Burgers Ctr Fluid Dynam, NL-7500 AE Enschede, Netherlands. Toschi, Federico, Eindhoven Univ Technol, Dept Phys, NL-5600 MB Eindhoven, Netherlands. Toschi, Federico, Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands. Toschi, Federico, Eindhoven Univ Technol, JM Burgersctr, NL-5600 MB Eindhoven, Netherlands. (literal)
Titolo
  • Lagrangian single-particle turbulent statistics through the Hilbert-Huang transform (literal)
Abstract
  • The Hilbert-Huang transform is applied to analyze single-particle Lagrangian velocity data from numerical simulations of hydrodynamic turbulence. The velocity trajectory is described in terms of a set of intrinsic mode functions C-i(t) and of their instantaneous frequency omega(i) (t). On the basis of this decomposition we define the.-conditioned statistical moments of the C-i modes, named q-order Hilbert spectra (HS). We show that such quantities have enhanced scaling properties as compared to traditional Fourier transform-or correlation-based (structure functions) statistical indicators, thus providing better insights into the turbulent energy transfer process. We present clear empirical evidence that the energy like quantity, i.e., the second-order HS, displays a linear scaling in time in the inertial range, as expected from a dimensional analysis. We also measure high-order moment scaling exponents in a direct way, without resorting to the extended self-similarity procedure. This leads to an estimate of the Lagrangian structure function exponents which are consistent with the multifractal prediction in the Lagrangian frame as proposed by Biferale et al. [Phys. Rev. Lett. 93, 064502 (2004)]. DOI: 10.1103/PhysRevE.87.041003 (literal)
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