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Lifetimes of Rogue Wave Events in Direct Numerical Simulations of Deep-Water Irregular Sea Waves

1,2,* and 1,2,3
1
Department of Nonlinear Geophysical Processes, Institute of Applied Physics, 46 Ulyanova Street, Box-120, Nizhny Novgorod 603950, Russia
2
Laboratory of Modeling of Natural and Technogenic Disasters, Nizhny Novgorod State Technical University, n.a. R.E. Alekseev, 24 Minina Street, Nizhny Novgorod 603950, Russia
3
Laboratory of Topological Methods in Dynamics, National Research University-Higher School of Economics, 25 B. Pechorskaya Street, Nizhny Novgorod 603950, Russia
*
Author to whom correspondence should be addressed.
Fluids 2019, 4(2), 70; https://doi.org/10.3390/fluids4020070
Received: 19 March 2019 / Revised: 4 April 2019 / Accepted: 10 April 2019 / Published: 12 April 2019
(This article belongs to the Special Issue Nonlinear Wave Hydrodynamics)
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Abstract

The issue of rogue wave lifetimes is addressed in this study, which helps to detail the general picture of this dangerous oceanic phenomenon. The direct numerical simulations of irregular wave ensembles are performed to obtain the complete accurate data on the rogue wave occurrence and evolution. Purely collinear wave systems, moderately crested, and short-crested sea states have been simulated by means of the high-order spectral method for the potential Euler equations. As rogue waves are transient and poorly reflect the physical effects, we join instant abnormally high waves in close locations and close time moments to new objects, rogue events, which helps to retrieve the abnormal occurrences more stably and more consistently from the physical point of view. The rogue event lifetime probability distributions are calculated based on the simulated wave data. They show the distinctive difference between rough sea states with small directional bandwidth on one part, and small-amplitude sea states and short-crested states on the other part. The former support long-living rogue wave patterns (the corresponding probability distributions have heavy tails), though the latter possess exponential probability distributions of rogue event lifetimes and generally produce much shorter rogue wave events. View Full-Text
Keywords: rogue waves; lifetimes; numerical simulations rogue waves; lifetimes; numerical simulations
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Kokorina, A.; Slunyaev, A. Lifetimes of Rogue Wave Events in Direct Numerical Simulations of Deep-Water Irregular Sea Waves. Fluids 2019, 4, 70.

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