Effects of high-order nonlinear interactions on unidirectional wave trains |
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| Authors: | Nobuhito Mori Takashi Yasuda |
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| Institution: | a Department of Fluid Mechanics, Abiko Research Laboratory, Central Research Institute of Electric Power Industry (CRIEPI), 1646 Abiko, Abiko, Chiba 2701194, Japan
b Graduate Course of Environmental and Renewable Energy System, Gifu University, Yanagido 1-1, Gifu, Japan |
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| Abstract: | Numerical simulations of gravity waves with high-order nonlinearities in two-dimensional domain are performed by using the pseudo spectral method. High-order nonlinearities more than third order excite apparently chaotic evolutions of the Fourier energy in deep water random waves. The high-order nonlinearities increase kurtosis, wave height distribution and Hmax/H1/3 in deep water and decrease these wave statistics in shallow water. Moreover, they can generate a single extreme high wave with an outstanding crest height in deep water. High-order nonlinearities (more than third order) can be regarded as one cause of freak waves in deep water. |
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| Keywords: | Nonlinear interaction Instability Freak wave Random wave train Deep-water wave |
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