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Using wavelet transform to study the Lipschitz local singular exponent in wall turbulence

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Abstract

In this paper, wavelet transform is introduced to study the Lipschitz local singular exponent for characterizing the local singularity behavior of fluctuating velocity in wall turbulence. It is found that the local singular exponent is negative when the ejections and sweeps of coherent structures occur in a turbulent boundary layer.

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References

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, 300072, Tianjin

    Jiang Nan, Wang Zhendong & Shu Wei

  2. Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Academia Sinica, 100080, Beijing, P. R. China

    Jiang Nan, Wang Zhendong & Shu Wei

Authors
  1. Jiang Nan
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  2. Wang Zhendong
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  3. Shu Wei
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Additional information

Communicated by Cai Shutang

Project supported by the National Natural Science Foundation of China (19672040)

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Nan, J., Zhendong, W. & Wei, S. Using wavelet transform to study the Lipschitz local singular exponent in wall turbulence. Appl Math Mech 19, 983–990 (1998). https://doi.org/10.1007/BF02457958

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  • DOI: https://doi.org/10.1007/BF02457958

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