Non-linear Random Wave Groups in Finite Water Depth

Some effects of non-linearity are investigated for sea wave groups at a finite water depth. For this purpose, the Boccotti’s quasi-determinism theory is firstly applied to describe the linear wave groups. Therefore, the second-order solution is derived for the more general condition of three-dimensional wave groups, at an arbitrary water depth, when a high crest occurs. Finally, some effects of finite bandwidth of the spectrum and of finite water depth are analyzed