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Chin. Phys. B, 2013, Vol. 22(7): 074703    DOI: 10.1088/1674-1056/22/7/074703

Extraction and verification of coherent structures in near-wall turbulence

Hu Hai-Bao, Du Peng, Huang Su-He, Wang Ying
School of Marine Engineering, Northwestern Polytechnical University, Xi'an 710072, China
Abstract  According to the characteristics of coherent structures in near-wall turbulence, an accurate extraction and verification method is developed based on wavelet transform (WT) and correlation analysis in this paper. At first, the fluid field of a turbulent boundary layer is measured precisely in a gravitational low-speed water tunnel. On the basis of the distribution of the coherent structures, velocity data of three test points are selected and analyzed, whose dimensionless heights are 20.8, 33.5, and 42.6. According to the frequency range of power spectrum density (PSD), coherent and incoherent structures are both extracted from the original signals using continuous and orthogonal wavelet transforms. To confirm the validity of the extracted signals, the probability density function (PDF) of each extracted signal is calculated. The result demonstrates that the incoherent structures obey the Gaussian distribution, while the coherent structures deviate from the Gaussian distribution. The PDFs of the coherent structures and the original signals are similar, which shows that the coherent structures make most contributions to the turbulence. For further verification, a correlation parameter between coherent and incoherent structures is defined, which evidently proves the validity of the extraction method in this paper.
Keywords:  boundary layer      wavelet transform      power spectrum density      coherent structure  
Received:  29 November 2012      Revised:  17 January 2013      Published:  01 June 2013
PACS:  47.27.De (Coherent structures)  
  47.27.nb (Boundary layer turbulence ?)  
  43.60.Hj (Time-frequency signal processing, wavelets)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51109178), the Natural Science Foundation of Shaanxi Province, China (Grant No. 2010JQ1009), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20116102120009).
Corresponding Authors:  Hu Hai-Bao     E-mail:

Cite this article: 

Hu Hai-Bao, Du Peng, Huang Su-He, Wang Ying Extraction and verification of coherent structures in near-wall turbulence 2013 Chin. Phys. B 22 074703

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