Laboratory study of unidirectional focusing waves in intermediate depth water

Y X Ma, G H Dong, S X Liu, Jun Zang, J X Li, Y Y Sun

Research output: Contribution to journalArticle

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Abstract

The results of laboratory measurements of large focusing wave groups, which were generated using the New Wave theory, are presented. The influences of both the steepness and frequency bandwidth on focused wave characteristics were examined. The influence of frequency bandwidth on focused wave groups with small and moderate steepness was very small. However, for cases with the large steepness, the nonlinearity increased with increasing bandwidth frequency and widened free-wave regimes are identified for those cases with large steepness at the focal location. The underlying nonlinear phase coupling of focused waves was examined using wavelet-based bicoherence and biphase, which can detect nonlinear phase coupling in a short time series. For wave groups with large initial steepness, as wave groups approached the focal location, the values of bicoherence between primary waves and its higher harmonics progressively increased to I and the corresponding biphase was gradually close to zero, suggesting that an extreme wave event can be produced by considering Stokes-like nonlinearity to very high-order. Furthermore, the fast change of bicoherence of focused wave groups indicates that the nonlinear energy transfer within focusing waves is faster than that of nonfocusing wave trains.
LanguageEnglish
Pages78-90
Number of pages13
JournalJournal of Engineering Mechanics-Asce
Volume136
Issue number1
DOIs
StatusPublished - Jan 2010

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Water
Bandwidth
Energy transfer
Time series

Keywords

  • Wavelet
  • Water waves
  • Nonlinearity
  • Spectra
  • Methodology

Cite this

Laboratory study of unidirectional focusing waves in intermediate depth water. / Ma, Y X; Dong, G H; Liu, S X; Zang, Jun; Li, J X; Sun, Y Y.

In: Journal of Engineering Mechanics-Asce, Vol. 136, No. 1, 01.2010, p. 78-90.

Research output: Contribution to journalArticle

Ma, Y X ; Dong, G H ; Liu, S X ; Zang, Jun ; Li, J X ; Sun, Y Y. / Laboratory study of unidirectional focusing waves in intermediate depth water. In: Journal of Engineering Mechanics-Asce. 2010 ; Vol. 136, No. 1. pp. 78-90
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