Wave group analysis of natural wind waves based on modulational instability theory |
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| Authors: | H Mase Y Iwagaki |
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| Institution: | 1. Department of Civil Engineering, Iran University of Science and Technology, Narmak, 1684613114, Tehran, Iran;2. Department of Marine and Ecological Sciences, Florida Gulf Coast University, Fort Myers, FL 33965-6565, United States of America;3. School of the Environment, Flinders University, GPO Box 2100, Adelaide, SA 5001, Australia;1. School of Information Technology, Beijing Institute of Technology, Zhuhai 519088, China;2. Department of Electronic Communication Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 81157, Taiwan, ROC;3. Zhuhai Key Laboratory of Smart Grid and New Energy Technology, China;1. Ecole Centrale Nantes, LHEEA Lab. (ECN,CNRS), Nantes, France;2. Institut de Recherche Technologique Jules Verne, Bouguenais, France |
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| Abstract: | This paper discusses wave grouping of wind waves observed at Lake Biwa from the physical viewpoint of wave modulational instability. Amplitude modulation periods obtained from the smoothed instantaneous wave energy history (SIWEH) of the observed data proposed by Funke and Mansard are compared with the values predicted by the modulational instability theory using the Zakharov equation for a finite constant water depth derived by Stiassnie and Shemer. The modulation period normalized by the typical wave period corresponds to the length of total run. It is shown that the amplitude modulation periods of the observed data agree satisfactorily with the predicted values. Thus, it is concluded that the modulational instability is a hydrodynamical cause of grouping of high waves. |
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