Journal ArticleDOI
On the interaction of wind and extreme gravity waves due to modulational instability
Julien Touboul,Christian Kharif +1 more
Reads0
Chats0
TLDR
In this paper, the effects of modulational instability on the behavior of freak waves were investigated and it was found that wind sustains the maximum of modulation due to the Benjamin-Feir instability.Abstract:
Freak waves are generated numerically by means of modulational instability. Their interaction with wind is investigated. Wind is modeled as Jeffreys’ sheltering mechanism. Contrary to the case without wind, it is found that wind sustains the maximum of modulation due to the Benjamin-Feir instability. The general kinematic behavior observed for freak waves due to dispersive focusing is recovered here, even if the underlying physics are different in both cases.read more
Citations
More filters
Journal ArticleDOI
Experiments on wind-perturbed rogue wave hydrodynamics using the Peregrine breather model
TL;DR: In this article, the evolution of the Peregrine breather solution in the presence of wind forcing in the direction of wave propagation has been investigated in the context of oceanic rogue waves.
Journal ArticleDOI
Nonlinear fast growth of water waves under wind forcing
TL;DR: In this article, a coordinate transformation is defined to map the forced nonlinear Schrodinger (NLS) equation into the standard NLS with constant coefficients, that has a number of known analytical soliton solutions.
Journal ArticleDOI
Under which conditions the Benjamin-Feir instability may spawn an extreme wave event: A fully nonlinear approach
C. Kharif,Julien Touboul +1 more
TL;DR: In this paper, the authors considered a Stokes wavetrain modulated by the Benjamin-Feir instability in the presence of both viscous dissipation and forcing due to wind, and the marginal stability curve derived from the fully nonlinear numerical simulations coincides with the curve obtained by [9] from a linear stability analysis.
Journal ArticleDOI
On the interaction of wind and steep gravity wave groups using Miles' and Jeffreys' mechanisms
TL;DR: In this paper, a steep wave train is generated by means of dispersive focusing, using both the linear theory and fully nonlinear equations, and it is found that the persistence of the steep wave group depends on the physical model used, and is significantly increased when we use the modified Jeffreys' sheltering theory.
Journal ArticleDOI
Evolution of deep-water waves under wind forcing and wave breaking effects: Numerical simulations and experimental assessment
TL;DR: In this paper, the evolution of focusing wave groups in deep water under wind forcing and wave breaking effects is investigated numerically and measurements collected from wind-wave experiments are used to evaluate the numerical simulations.
References
More filters
Journal ArticleDOI
Physical Mechanisms of the Rogue Wave Phenomenon
Christian Kharif,Efim Pelinovsky +1 more
TL;DR: A review of physical mechanisms of the rogue wave phenomenon is given in this article, where the authors demonstrate that freak waves may appear in deep and shallow waters and demonstrate that these mechanisms remain valid but should be modified.
Journal ArticleDOI
A high-order spectral method for the study of nonlinear gravity waves
TL;DR: In this paper, the authors developed a robust numerical method for modeling nonlinear gravity waves which is based on the Zakharov equation/mode-coupling idea but is generalized to include interactions up to an arbitrary order M in wave steepness.
Journal ArticleDOI
On the Formation of Water Waves by Wind
TL;DR: In this paper, it was shown that the wave formation problem for frictionless fluids has been solved by Lord Kelvin, subject to the restriction that the disturbances considered are two-dimensional, no horizontal displacement occurring across the relative velocity of the fluids and that the possible initial deformations of a horizontal surface will not as a rule satisfy this condition.
Journal ArticleDOI
Nonlinear gravity and capillary-gravity waves
Frédéric Dias,C. Kharif +1 more
TL;DR: In this article, the bifurcation, stability, and evolution of gravity and capillary-gravity waves are discussed. And the importance of surface tension effects on steep waves is studied.
Journal ArticleDOI
Instabilities of finite-amplitude water waves
TL;DR: In this paper, a numerical investigation of normal-mode perturbations of a finite-amplitude Stokes wave has revealed regions of instability lying near resonance curves given by the linear dispersion relation.