Wavelet Analysis of Wave Motion

In this paper, high resolution wave probe records are examined using wavelet techniques with a view to determine the sources and relative contributions of capillary wave energy along representative wind wave forms. Wavelets enable computations of conditional spectra and turn out to be powerful tools for the study of the development and propagation of capillary waves. They also enable the detailed analyses of the relative contributions to the spectrum of the wave peaks and troughs.

[1]  Nonstationary wave turbulence in an elastic plate. , 2011, Physical review letters.

[2]  M. Farge Wavelet Transforms and their Applications to Turbulence , 1992 .

[3]  Kai Schneider,et al.  SPATIAL INTERMITTENCY IN TWO-DIMENSIONAL TURBULENCE: A WAVELET APPROACH , 2004 .

[4]  B. Silverman,et al.  Wavelets: The Key to Intermittent Information? , 2000 .

[5]  Boulevard St-Michel A diffusion equation to describe scale- and time-dependent dimensions of turbulent interfaces , 2011 .

[6]  M. Banner,et al.  Tangential stress beneath wind-driven air–water interfaces , 1998, Journal of Fluid Mechanics.

[7]  S. Belcher,et al.  Breaking waves and the equilibrium range of wind-wave spectra , 1997, Journal of Fluid Mechanics.

[8]  E. H. Fooks,et al.  On the microwave reflectivity of small-scale breaking water waves , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[9]  M. Longuet-Higgins,et al.  Parasitic capillary waves: a direct calculation , 1995, Journal of Fluid Mechanics.

[10]  W. Melville,et al.  Laboratory measurements of deep-water breaking waves , 1990, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.