An identification of Energy Cascade in Turbulence by Orthonormal Wavelet Analysis

  title={An identification of Energy Cascade in Turbulence by Orthonormal Wavelet Analysis},
  author={Michio Yamada and Koji Ohkitani},
  journal={Progress of Theoretical Physics},
Orthonormal wavelet expansion method is applied to an analysis of atmospheric turbulence data which shows more than two decades of the inertial subrange spectrum. The result of the orthonor­ mal wavelet analysis of the turbulence data is discussed in comparison with those of an artificial random noise. The local wavelet spectra of turbulence show a characteristic structure. which is absent in the artificial random noise and is identified with the trace of the energy cascade process. The higher… 
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Seminaire Bourbaki nr
  • Wavelets, ed. J. M. Combes et al. (Springer,
  • 1989
Turbulence and Predictability in Geophysical Fluid Dynamics, ed
  • 1985