Experiments in Fluids

, Volume 50, Issue 2, pp 339–350 | Cite as

Ensemble-Empirical-Mode-Decomposition method for instantaneous spatial-multi-scale decomposition of wall-pressure fluctuations under a turbulent flow

  • Sébastien Debert
  • Marc PachebatEmail author
  • Vincent Valeau
  • Yves Gervais
Research Article


This work illustrates the possibilities of the Ensemble-Empirical-Mode-Decomposition (E-EMD) technique for a detailed analysis of the time and space characteristics of the wall-pressure fluctuations under a turbulent flow. Pressure fluctuations are measured with a linear microphone array, for the cases of a turbulent boundary layer and for a diffuse airborne acoustic field. The E-EMD technique is shown to be an efficient tool for representing the spatial scales of the turbulent fluctuations at each instant. In particular, this representation is obtained without any particular assumption or a priori information on the data (e.g. temporal or spatial stationarity of the wall pressure data is not required), and acts, when applied to wide-band turbulent signals, as a wavenumber filter. Finally, it is shown how, to some extent, the E-EMD technique can separate at each instant the acoustic (propagative) from the hydrodynamic (convective) energy.


Turbulent Boundary Layer Empirical Mode Decomposition Frequency Response Function Ensemble Empirical Mode Decomposition Intrinsic Mode Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The authors warmly acknowledge Yves Corvez, Laurent Philippon and Pascal Biais for their technical support.


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Sébastien Debert
    • 1
  • Marc Pachebat
    • 2
    • 3
    Email author
  • Vincent Valeau
    • 1
  • Yves Gervais
    • 1
  1. 1.UPR 3346, Département Fluides, Thermique, Combustion ESIPInstitut P’, CNRS, Université de Poitiers, ENSMAPoitiersFrance
  2. 2.PSA-Peugeot-Citroën R&DVélizy-Villacoublay CedexFrance
  3. 3.SAI-Acoustique IndutrielleMassy CedexFrance

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