Advertisement

Advances in Atmospheric Sciences

, Volume 18, Issue 5, pp 787–792 | Cite as

Multi-scale Fractal Characteristics of Atmospheric Boundary-Layer Turbulence

  • Li Xin
  • Hu Fei
  • Liu Gang
  • Hong Zhongxiang
Article

Abstract

The turbulence data are decomposed to multi-scales and its respective fractal dimensions are computed. The conclusions are drawn from investigating the variation of fractal dimensions. With the level of decomposition increasing, the low-frequency part extracted from the turbulence signals tends to be simple and smooth, the dimensions decrease; the high-frequency part shows complex, the dimensions are fixed, about 1.70 on the average, which indicates clear self-similarity characteristics.

Key words

Discrete wavelet Fractal dimension Multi-scale Turbulence data 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Li Xin, 1998: Study on the chaotic characteristics of atmospheric boundary-layer turbulence, Ph.D. Dissertation, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 140pp.Google Scholar
  2. Hu Fei, 1998: Atmospheric boundary-layer eddy structure identification by orthogonal wavelet expansion, Climatic and Environmental Research, 3, 97–105 (in Chinese).Google Scholar
  3. Chui C. K., 1992: Wavelet: A Tutorial in Theory and Applications, Academic Press, New York, 367pp (in Chinese).Google Scholar
  4. Daubechies I., 1992: Ten Lectures on Wavelets, CBMS, SIAM, 357pp.CrossRefGoogle Scholar
  5. Dubuc B., J.F. Quiniou, C.R. Carmes, C. Tricot, and S. W. Zucker, 1989: Evaluating the Fractal Dimension of Profiles. Phys. Rev. A39, 1500–1504.CrossRefGoogle Scholar
  6. Mallat S. G., 1989: Multiresolution approximations and wavelet orthogonal bases of L2 (R). Trans. of Amer. Math. Soc., 315, 69–87.Google Scholar
  7. Panofsky H. A., and J. A. Dutton, 1984: Atmospheric Turbulence, John Wiley and Sons Inc., New York, 397pp.Google Scholar
  8. West B. J., and M. Shlesinger, 1990: The noise in natural phenomena. American Scientist, 78, 40–42.Google Scholar

Copyright information

© Advances in Atmospheric Sciences 2001

Authors and Affiliations

  • Li Xin
    • 1
  • Hu Fei
    • 1
  • Liu Gang
    • 1
  • Hong Zhongxiang
    • 1
  1. 1.LAPC, Institute of Atmospheric PhysicsChinese Academy of SciencesBeijingChina

Personalised recommendations