Abstract
It is generally accepted that there are transverse oscillation, which are concentrated and confined to the backwall and decay asymptotically offshore, existed in the harbor of constant slope, however, whether these oscillations can be induced by the normally incident waves is not clear. This numerical investigation aims at providing the subharmonic generations of transverse oscillations within the harbor of a plane slope by waves normally impacting on. For the harbor of perfectly plane slopes, the subharmonic transverse oscillations are small on the mild and moderate slopes but evident on the steep slope. This instability can take place only if the incident wave amplitude exceeds a threshold value, and transverse oscillations can even grow up to a larger value than that of longitudinal oscillations. The magnitudes of transverse oscillations are approximately the same, only their growth rates are affected by the incident wave amplitude.
Highlights
Harbor oscillations are excited by the resonance due to the agreement of the eigenvalues for the free oscillations of harbor and the period of incident waves
Some of them have described their existence and characteristics (De Jong and Battjes, 2004; Okihiro and Guza, 1996; Wang et al, 1987). Some focused their attention on their origins, which could be wave groups, atmospheric pressure disturbances, tsunamis induced by landslides or earthquakes, a shear flow and so on (De Jong and Battjes, 2004; Fabrikant, 1995; Girolamo, 1996; Kulikov et al, 1996)
A series of numerical experiments are conducted to investigate transverse oscillations inside a harbor of constant slope induced by waves normally incident from the distant ocean
Summary
Harbor oscillations are excited by the resonance due to the agreement of the eigenvalues for the free oscillations of harbor and the period of incident waves. The bays and harbors under consideration have been those with simple geometry (a harbor with one basin or a basin with an entry channel) (Carrier et al, 1971; Miles, 1971) or those with complex geometry (a harbor with more than one basins or a coupled bay-river system) (Marcos et al, 2005; Mei and Ünlüata, 1976; Yu, 1996) These simplified analytical models developed for idealized geometries could not be applied in engineering directly, they have helped developed understandings of the rough physical mechanism, the influence of the geometric and the general features of the harbor resonance problem.
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