Laboratory Study of Unidirectional Focusing Waves in Intermediate Depth Water
Publication: Journal of Engineering Mechanics
Volume 136, Issue 1
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 1 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.
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Acknowledgments
This research is supported financially by the National Natural Science Foundation (Grant Nos. UNSPECIFIED50679010, UNSPECIFIED50921001), the Program for New Century Excellent Talents in Universities of China (Grant No. UNSPECIFIEDNCET-04-0267), and the Program for Changjiang Scholars and Innovative Research Teams of Colleges and Universities of China (Grant No. UNSPECIFIEDIRT0420).
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Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 1 • January 2010
Pages: 78 - 90
Copyright
© 2010 ASCE.
History
Received: Dec 22, 2008
Accepted: Jul 29, 2009
Published online: Aug 1, 2009
Published in print: Jan 2010
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