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Related Experiment Videos

Breathing rogue wave observed in numerical experiment.

V P Ruban1

  • 1Landau Institute for Theoretical Physics, 2 Kosygin Street, 119334 Moscow, Russia. ruban@itp.ac.ru

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 10, 2006
PubMed
Summary

Numerical simulations reveal that extreme rogue waves can spontaneously form on deep water. These long-lasting, oscillating waves maintain their peak amplitude over many wave periods.

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Area of Science:

  • Fluid dynamics
  • Oceanography
  • Nonlinear physics

Background:

  • Long-crested water waves are governed by complex, fully nonlinear equations of motion.
  • Understanding the formation and behavior of extreme waves is crucial in ocean engineering and maritime safety.

Purpose of the Study:

  • To investigate the spontaneous formation of extreme waves using numerical simulations.
  • To analyze the characteristics and stability of these extreme waves.

Main Methods:

  • Numerical simulations were performed using quasirandom initial conditions.
  • The simulations utilized the fully nonlinear equations of motion for long-crested water waves.

Main Results:

  • A single extreme rogue wave spontaneously formed on deep water.
  • The rogue wave exhibited an oscillating behavior.
  • The wave maintained its maximal amplitude for an extended duration (many wave periods).

Conclusions:

  • Fully nonlinear models can predict the spontaneous generation of extreme rogue waves.
  • Extreme rogue waves are a stable phenomenon, persisting over time without significant amplitude decay.

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