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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