Effect of vorticity on the generation of rogue waves due to dispersive focusing - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Natural Hazards Année : 2016

Effect of vorticity on the generation of rogue waves due to dispersive focusing

Christian Kharif

Résumé

The kinematic and dynamic of steep two-dimensional focusing wave trains on a shearing flow in deep water are investigated analytically and numerically. In the absence of waves, the vorticity due to the vertical gradient of the horizontal current velocity is assumed constant. A linear kinematic model based on the spatio-temporal evolution of the frequency is derived, predicting the focusing distance and time of a chirped wave packet in the presence of constant vorticity. Furthermore, a linear model, based on a Fourier integral, is used to describe the evolution of the free surface on shearing current. To compute the fully nonlinear evolution of the wave group in the presence of vorticity, a new numerical model, based on a BIEM approach, is developed. On the basis of these different approaches, the role of constant vorticity on rogue wave occurrence is analysed. Two main results are obtained: (1) the linear behaviour expected in the presence of constant vorticity is significantly different from what is commonly expected in the presence of constant current and (2) the nonlinear effects are found to be of significant influence in the case at hand.
Fichier non déposé

Dates et versions

hal-01435944 , version 1 (16-01-2017)

Identifiants

Citer

Julien Touboul, Christian Kharif. Effect of vorticity on the generation of rogue waves due to dispersive focusing. Natural Hazards, 2016, 84, pp.S585-S598. ⟨10.1007/s11069-016-2419-5⟩. ⟨hal-01435944⟩
164 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More