Wavelet analysis of non-stationary sea waves during Hurricane Camille

The wavelet transform is applied to wave records, containing abnormal waves. The field data are from hurricane Camille. The abnormal waves are readily identified from the wavelet spectrum as an area of high energy, well localized in time and frequency. The wavelet spectrum of abnormal waves, appearing in a group of high waves has maximum value at the time of abnormal wave occurrence and it is concentrated in a narrow frequency range. In contrast the single abnormal wave has wavelet spectrum covering a wide frequency range. The vertical asymmetry of single abnormal wave is reflected in asymmetrical distribution of wavelet transforms. The presence of components with similar phases as a factor for abnormal wave occurrence is studied. Before and after wave crest of asymmetrical abnormal wave, the phases are more dispersive than that during the abnormal crest occurrence.

[1]  Paul C. Liu.  Is the wind wave frequency spectrum outdated , 2000 .

[2]  Luigi Cavaleri,et al.  Extreme waves, modulational instability and second order theory: wave flume experiments on irregular waves , 2006 .

[3]  C. Soares,et al.  Analysis of abnormal wave groups in Hurricane Camille by the Hilbert Huang Transform method , 2012 .

[4]  A. J. Reynolds,et al.  Velocity distributions in plane turbulent channel flows , 1980, Journal of Fluid Mechanics.

[5]  N. Huang,et al.  A new view of nonlinear water waves: the Hilbert spectrum , 1999 .

[6]  Chia Chuen Kao,et al.  On the Characteristics of Observed Coastal Freak Waves , 2002 .

[7]  C. Guedes Soares,et al.  Spectrogram analysis of the time-frequency characteristics of ocean wind waves , 2005 .

[8]  C. Torrence,et al.  A Practical Guide to Wavelet Analysis. , 1998 .

[9]  C. Guedes Soares,et al.  Identification of the components of wave spectra by the Hilbert Huang transform method , 2004 .

[10]  A. Osborne,et al.  On the extreme statistics of long‐crested deep water waves: Theory and experiments , 2007 .

[11]  C. Soares,et al.  Non-linearity and non-stationarity of the New Year abnormal wave , 2008 .

[12]  A. Veltcheva.  Wave and Group Transformation by a Hilbert Spectrum , 2002 .

[13]  Stanisław Ryszard Massel,et al.  Wavelet analysis for processing of ocean surface wave records , 2001 .

[14]  T. Yasuda,et al.  Occurrence Properties of Giant Freak Waves in Sea Area around Japan , 1997 .

[15]  Günther Clauss,et al.  Dramas of the sea: episodic waves and their impact on offshore structures , 2002 .

[16]  M.-C. Huang,et al.  Wave parameters and functions in wavelet analysis , 2004 .

[17]  C. Guedes Soares,et al.  Analysis of Abnormal Wave Records by the Hilbert–Huang Transform Method , 2007 .

[18]  Kharif Christian,et al.  Rogue Waves in the Ocean , 2009 .

[19]  K. Dysthe,et al.  Probability distributions of surface gravity waves during spectral changes , 2005, Journal of Fluid Mechanics.

[20]  C. Soares,et al.  Time-frequency analysis of the sea state with the "Andrea" freak wave , 2014 .

[21]  C. Guedes Soares,et al.  Characteristics of abnormal waves in North Sea storm sea states , 2003 .

[22]  Kevin Ewans,et al.  Wavelet Analysis of an Extreme Wave in a Model Basin , 2008 .

[23]  C. Soares,et al.  Abnormal waves during Hurricane Camille , 2004 .