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Rogue events in spatiotemporal numerical simulations of unidirectional waves in basins of different depth

Author

Listed:
  • A. Slunyaev

    (Institute of Applied Physics, Russian Academy of Sciences
    Nizhny Novgorod State Technical University n.a. R.E. Alekseev)

  • A. Sergeeva

    (Institute of Applied Physics, Russian Academy of Sciences
    Nizhny Novgorod State Technical University n.a. R.E. Alekseev)

  • I. Didenkulova

    (Institute of Applied Physics, Russian Academy of Sciences
    Nizhny Novgorod State Technical University n.a. R.E. Alekseev
    Marine Systems Institute at Tallinn University of Technology)

Abstract

The evolution of unidirectional nonlinear sea surface waves is calculated numerically by means of solution of the Euler equations. The wave dynamics corresponds to quasi-equilibrium states characterized by JONSWAP spectra. The spatiotemporal data are collected and processed providing information about the wave height probability and typical appearance of abnormally high waves (rogue waves). The waves are considered at different water depths ranging from deep to relatively shallow cases (k p h > 0.8, where k p is the peak wavenumber, and h is the local depth). The asymmetry between front and rear rogue wave slopes is identified; it becomes apparent for sufficiently high waves in rough sea states at all considered depths k p h ≥ 1.2. The lifetimes of rogue events may reach up to 30–60 wave periods depending on the water depth. The maximum observed wave has a height of about three significant wave heights. A few randomly chosen in situ time series from the Baltic Sea are in agreement with the general picture of the numerical simulations.

Suggested Citation

  • A. Slunyaev & A. Sergeeva & I. Didenkulova, 2016. "Rogue events in spatiotemporal numerical simulations of unidirectional waves in basins of different depth," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 84(2), pages 549-565, November.
    • Handle: RePEc:spr:nathaz:v:84:y:2016:i:2:d:10.1007_s11069-016-2430-x
    DOI: 10.1007/s11069-016-2430-x
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    References listed on IDEAS

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    1. I. Lavrenov, 1998. "The Wave Energy Concentration at the Agulhas Current off South Africa," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 17(2), pages 117-127, March.
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