Using Wavelet Transform to Study the Lipschitz Local Singular Exponent in Wall Turbulence

Jiang Nan; Wang Zhendong; Shu Wei

Volume 19 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(10): 907-913

Jiang Nan, Wang Zhendong, Shu Wei. Using Wavelet Transform to Study the Lipschitz Local Singular Exponent in Wall Turbulence[J]. Applied Mathematics and Mechanics, 1998, 19(10): 907-913.

Citation:

Jiang Nan, Wang Zhendong, Shu Wei. Using Wavelet Transform to Study the Lipschitz Local Singular Exponent in Wall Turbulence[J]. Applied Mathematics and Mechanics, 1998, 19(10): 907-913.

Citation:

Jiang Nan, Wang Zhendong, Shu Wei. Using Wavelet Transform to Study the Lipschitz Local Singular Exponent in Wall Turbulence[J]. Applied Mathematics and Mechanics, 1998, 19(10): 907-913.

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Using Wavelet Transform to Study the Lipschitz Local Singular Exponent in Wall Turbulence

1.
Department of Mechanics, Tianjin University, Tianjin 300072;
2.
Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Academia Sinica, Beijing 100080, P.R.China

Received Date: 1997-01-31
Rev Recd Date: 1998-03-06
Publish Date: 1998-10-15

Abstract

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.
- wavelet transform,
- coherent structure,
- Lipschitz local singular exponent

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References(4)

References

[1]	M.Farge,Wavelet transforms and their applications to turbulence,Annu.Rev.Fluid Mech.,2(1992),39457
[2]	姜楠、舒玮、王振东,子波分析辨识壁湍流猝发事件的能量最大准则,力学学报,29(3)(1997),406-412.
[3]	S.Mallat and Wen Liang Hwang,Singularity detection and processing with wavelet,IEEE Transaction on Information Theory,38(2)(1992),61643
[4]	E.Bacry,A.Arneodo,U.Frisch,Y.Gagne and E.Hopfinger,Wavelet analysis of fully developed turbulence data and measurement of scaling exponents,in Turubulence and Coherent Structure, Eds.by M.Lesieur and O.Metais,Kluwer Academic Publishers,New York(1990).

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