Separation between coherent and turbulent fluctuations: what can we learn from the empirical mode decomposition?

Separation between coherent and turbulent fluctuations: what can we learn from the empirical mode... The performances of a new data processing technique, namely the empirical mode decomposition, are evaluated on a fully developed turbulent velocity signal perturbed by a numerical forcing which mimics a long-period flapping. First, we introduce a “resemblance” criterion to discriminate between the polluted and the unpolluted modes extracted from the perturbed velocity signal by means of the empirical mode decomposition algorithm. A rejection procedure, playing, somehow, the role of a high-pass filter, is then designed in order to infer the original velocity signal from the perturbed one. The quality of this recovering procedure is extensively evaluated in the case of a single tone perturbation (sine wave) by varying both the amplitude and the frequency of the perturbation. An excellent agreement between the recovered and the reference velocity signals is found, even though some discrepancies are observed when the perturbation frequency overlaps the frequency range corresponding to the energy-containing eddies as emphasized by both the energy spectrum and the structure functions. Finally, our recovering procedure is successfully performed on a non-stationary perturbation (linear chirp) covering a broad range of frequencies. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Experiments in Fluids Springer Journals

Separation between coherent and turbulent fluctuations: what can we learn from the empirical mode decomposition?

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Publisher
Springer-Verlag
Copyright
Copyright © 2011 by Springer-Verlag
Subject
Engineering; Engineering Fluid Dynamics; Engineering Thermodynamics, Heat and Mass Transfer; Fluid- and Aerodynamics
ISSN
0723-4864
eISSN
1432-1114
D.O.I.
10.1007/s00348-011-1069-3
Publisher site
See Article on Publisher Site

Abstract

The performances of a new data processing technique, namely the empirical mode decomposition, are evaluated on a fully developed turbulent velocity signal perturbed by a numerical forcing which mimics a long-period flapping. First, we introduce a “resemblance” criterion to discriminate between the polluted and the unpolluted modes extracted from the perturbed velocity signal by means of the empirical mode decomposition algorithm. A rejection procedure, playing, somehow, the role of a high-pass filter, is then designed in order to infer the original velocity signal from the perturbed one. The quality of this recovering procedure is extensively evaluated in the case of a single tone perturbation (sine wave) by varying both the amplitude and the frequency of the perturbation. An excellent agreement between the recovered and the reference velocity signals is found, even though some discrepancies are observed when the perturbation frequency overlaps the frequency range corresponding to the energy-containing eddies as emphasized by both the energy spectrum and the structure functions. Finally, our recovering procedure is successfully performed on a non-stationary perturbation (linear chirp) covering a broad range of frequencies.

Journal

Experiments in FluidsSpringer Journals

Published: Mar 23, 2011

References

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