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Properties of Rogue Waves and the Shape of the Ocean Wave Power Spectrum

[+] Author Affiliations
Alfred R. Osborne

Nonlinear Waves Research Corporation, Alexandria, VA

Sonia Ponce de León

Universidade de Lisboa, Lisbon, Portugal

Paper No. OMAE2017-62217, pp. V03AT02A013; 12 pages
  • ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering
  • Volume 3A: Structures, Safety and Reliability
  • Trondheim, Norway, June 25–30, 2017
  • Conference Sponsors: Ocean, Offshore and Arctic Engineering Division
  • ISBN: 978-0-7918-5765-6
  • Copyright © 2017 by ASME


We discuss a method for the determination of the shape of the ocean wave power spectrum that is based on the physics of the modulational instability for the nonlinear Schrödinger and the Zakharov equations. We find that the form of the spectrum includes an enhanced spectral peak and modulational channels that extend to both high and low frequency. Furthermore, this fundamental shape of the spectrum is found to also be contained in the kinetic equation commonly used for wind-wave models provided that the full Boltzmann four-wave interactions are included. We discuss a number of numerical simulations that demonstrate the modulational form of the power spectrum. We furthermore discuss how the enhanced spectral peak governs the formation of rogue wave packets. We provide ways to compute the properties of the rogue waves directly from the nonlinear spectrum of analyzed time series data or from wave forecasts and hindcasts.

Copyright © 2017 by ASME
Topics: Waves , Ocean waves , Shapes



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