Enhanced rise of rogue waves in slant wave groups

@article{Ruban2011EnhancedRO,
  title={Enhanced rise of rogue waves in slant wave groups},
  author={Victor P. Ruban},
  journal={JETP Letters},
  year={2011},
  volume={94},
  pages={177-181}
}
  • V. Ruban
  • Published 4 June 2011
  • Geology
  • JETP Letters
Numerical simulations of fully nonlinear equations of motion for long-crested waves at deep water demonstrate that in elongate wave groups the formation of extreme waves occurs most intensively if in an initial state the wave fronts are oriented obliquely to the direction of the group. An “optimal” angle, resulting in the highest rogue waves, depends on initial wave amplitude and group width, and it is about 18–28 degrees in a practically important range of parameters. 
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References

SHOWING 1-10 OF 42 REFERENCES

Breathing rogue wave observed in numerical experiment.

  • V. Ruban
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2006
Numerical simulations of the recently derived fully nonlinear equations of motion for long-crested water waves with quasirandom initial conditions are reported, which show the spontaneous formation of a single extreme wave on deep water.

Rogue wave observation in a water wave tank.

This work presents the first experimental results with observations of the Peregrine soliton in a water wave tank, and proposes a new approach to modeling deep water waves using the nonlinear Schrödinger equation.

Nonlinear Four-Wave Interactions and Freak Waves

Four-wave interactions are shown to play an important role in the evolution of the spectrum of surface gravity waves. This fact follows from direct simulations of an ensemble of ocean waves using the…

Conformal variables in the numerical simulations of long-crested rogue waves

Abstract. The recently suggested theoretical model for highly nonlinear potential long-crested water waves is discussed, where weak three-dimensional effects are included as small corrections to…

Oceanic Rogue Waves

Oceanic rogue waves are surface gravity waves whose wave heights are much larger than expected for the sea state. The common operational definition requires them to be at least twice as large as the…

Modulation instability of Stokes wave → freak wave

Formation of waves of large amplitude (freak waves, killer waves) at the surface of the ocean is studied numerically. We have observed that freak waves have the same ratio of the wave height to the…

Modulational instability in crossing sea states: a possible mechanism for the formation of freak waves.

It is shown that the introduction of a second plane wave, propagating in a different direction, can result in an increase in the instability growth rates and enlargement of the instability region.

Freak waves as nonlinear stage of Stokes wave modulation instability

Nonlinear stage of the Benjamin-Feir instability: three-dimensional coherent structures and rogue waves.

  • V. Ruban
  • Physics
    Physical review letters
  • 2007
A specific, genuinely three-dimensional mechanism of rogue wave formation, in a late stage of the modulational instability of a perturbed Stokes deep-water wave, is recognized through numerical…

Numerical modeling of quasiplanar giant water waves.

  • V. RubanJ. Dreher
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2005
In this work we present a further analytical development and a numerical implementation of the recently suggested theoretical model for highly nonlinear potential long-crested water waves, where weak…