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Linear and nonlinear propagation of water wave groupsResults are presented from a study of the evolution of waveforms with known analytical group shapes, in the form of both transient wave groups and the cloidal (cn) and dnoidal (dn) wave trains as derived from the nonlinear Schroedinger equation. The waveforms were generated in a long wind-wave tank of the Canada Centre for Inland Waters. It was found that the low-amplitude transients behaved as predicted by the linear theory and that the cn and dn wave trains of moderate steepness behaved almost as predicted by the nonlinear Schroedinger equation. Some of the results did not fit into any of the available theories for waves on water, but they provide important insight on how actual groups of waves propagate and on higher-order effects for a transient waveform.
Document ID
19920051554
Document Type
Reprint (Version printed in journal)
Authors
Pierson, W. J., Jr. (City College New York, United States)
Donelan, M. A. (Canada Centre for Inland Waters National Water Research Institute, Burlington, Canada)
Hui, W. H. (Waterloo, University Canada)
Date Acquired
August 15, 2013
Publication Date
April 15, 1992
Publication Information
Publication: Journal of Geophysical Research
Volume: 97
Issue: C4 A
ISSN: 0148-0227
Subject Category
OCEANOGRAPHY
Funding Number(s)
CONTRACT_GRANT: NATO-923/83
CONTRACT_GRANT: NAGW-690
CONTRACT_GRANT: JPL-957714
Distribution Limits
Public
Copyright
Other