Abstract

Nonlinear four-wave interactions have significant influences on the statistical properties for deep-water extreme waves. However, the characteristics of freak waves generated in deep-water shoaling to shallow water regions are still not clearly understood. In this study, the numerical simulations using the Boussinesq model are conducted to investigate the aftereffects of the third-order nonlinear interactions from deep to shallow water regions related to freak wave occurrences. It is possible to understand the characteristics of freak wave occurrences in shallow water regions using the Boussinesq model, if appropriate higher-order nonlinear correction is considered analytically.

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