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Potential benefit from the application of autoregressive spectral estimators in the analysis of homogeneous and isotropic turbulence

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Abstract

Spectral estimators other than the conventional periodogram technique exist. The autoregressive (AR) method is one of the alternative spectral estimation procedures currently available. The technique is particularly adapted to the detection of narrow-band components in the lower frequency domain for short data records. However, the technique may also be used in the analysis of more “standard” turbulent flow configurations where no specific wave modes are necessarily expected. An example is given here in the case of homogeneous and isotropic turbulence developing freely downstream of a heated grid. The results reported in this paper are in good agreement with earlier findings and would thus tend to confirm the idea that the technique might be used successfully over a wider range of signals in fluid dynamics. They provide us with the opportunity to highlight one particular additional benefit of the AR method with respect to the identification of spectral regions with constant slopes.

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Notes

  1. Freely available at http://www.tn.tudelft.nl/mmr/

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Acknowledgements

The experiments illustrated here were performed at the Ecole Centrale de Nantes. The support of the CNRS PhD grant scheme is gratefully acknowledged in this respect. The analysis reported was supported by CONICYT under grant FONDECYT No. 1010135. The authors would like to express their sincere thanks to Professor G. Le Vey (Département Automatique-Productique, EMN) for his help and advice during revision of this paper.

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Authors and Affiliations

  1. Ecole des Mines de Nantes, GEPEA–UMR CNRS 6144, La Chantrerie/4 rue Alfred Kastler, BP 20722, 44307, Nantes Cedex 3, France

    M. Pavageau

  2. Laboratoire de Modélisation et Simulation Numérique en Mécanique (LMSNM), FRE n°2405 CNRS, Universités d’Aix-Marseille, La jetée, Technopôle de Château Gombert, 38 rue Frédéric Joliot-Curie, 13451, Marseille Cedex 20, France

    C. Rey

  3. Departamento de Ingeniería Mecánica, Universidad de Chile, Beauchef 850, 5 Piso, 2777, Casilla, Santiago, Chile

    J.-C. Elicer-Cortes

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  1. M. Pavageau
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Correspondence to M. Pavageau.

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Pavageau, M., Rey, C. & Elicer-Cortes, JC. Potential benefit from the application of autoregressive spectral estimators in the analysis of homogeneous and isotropic turbulence. Exp Fluids 36, 847–859 (2004). https://doi.org/10.1007/s00348-003-0767-x

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