Effects of high-order nonlinear interactions on unidirectional wave trains

✍ Scribed by Nobuhito Mori; Takashi Yasuda

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 222 KB
• Volume: 29
• Category: Article
• ISSN: 0029-8018
• DOI: 10.1016/s0029-8018(01)00074-9

✦ Synopsis

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 H max /H 1/3 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. Highorder nonlinearities (more than third order) can be regarded as one cause of freak waves in deep water.