# Lagrangian single-particle turbulent statistics through the Hilbert-Huang transform.

@article{Huang2013LagrangianST, title={Lagrangian single-particle turbulent statistics through the Hilbert-Huang transform.}, author={Yongxiang Huang and Luca Biferale and Enrico Calzavarini and Chao Sun and Federico Toschi}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2013}, volume={87 4}, pages={ 041003 } }

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 ω(i)(t). On the basis of this decomposition we define the ω-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…

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