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Using wavelet transform to study the Lipschitz local singular exponent in wall turbulence
Authors:Jiang Nan  Wang Zhendong  Shu Wei
Affiliation:Department of Mechanics, Tianjin University, Tianjin 300072; Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Academia Sinica, Beijing 100080, P. R. China
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.
Keywords:wavelet transform   coherent structure   Lipschitz local singular exponent
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