Twenty years of progresses in oceanic rogue waves: the role played by weakly nonlinear models

Onorato, Miguel; Suret, Pierre

doi:10.1007/s11069-016-2449-z

Cited by 23 publications

(18 citation statements)

References 51 publications

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“…And as we have discussed above, it was the analogy with nonlinear propagation in fibre which stimulated renewed interest in rogue waves in a wider physical context. That said, the relative contribution of linear and nonlinear effects to drive rogue wave dynamics in the ocean remains a subject of much study [11,119], and in our discussion below of wave tank experiments and analysis of real-world ocean wave data, we take particular care to highlight when results have drawn conclusions regarding the roles played by linear and/or nonlinear effects. This is especially the case for recent analyses of real world ocean data that have been able to reproduce rogue wave characteristics through spatio-temporal effects without the need to include nonlinear focusing from modulation instability.…”

Section: A Overviewmentioning

confidence: 99%

Rogue waves and analogies in optics and oceanography

et al. 2019

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We review the study of rogue waves and related instabilities in optical and oceanic environments, with particular focus on recent experimental developments. In optics, we emphasize results arising from the use of real-time measurement techniques, whilst in oceanography we consider insights obtained from analysis of real-world ocean wave data and controlled experiments in wave tanks. Although significant progress in understanding rogue waves has been made based on an analogy between wave dynamics in optics and hydrodynamics, these comparisons have predominantly focused on one-dimensional nonlinear propagation scenarios. As a result, there remains significant debate about the dominant physical mechanisms driving the generation of ocean rogue waves in the complex environment of the open sea. Here, we review stateof-the-art of rogue wave studies in optics and hydrodynamics, aiming to clearly identify similarities and differences between the results obtained in the two fields. In hydrodynamics, we take care to review results that support both nonlinear and linear interpretations of ocean rogue wave formation, and in optics, we also summarise results from an emerging area of research applying the measurement techniques developed for the study of rogue waves to dissipative soliton systems. We conclude with a discussion of important future research directions. the underlying carrier wave is considered sinusoidal at frequency ω whereas in hydrodynamics, the NLSE envelope modulates the Stokes wave which (to second-order) contains contributions at both ω and the second harmonic 2ω [31]. In addition, even though the terminology "optical wave breaking" is used in an NLSE context to describe the steepening of an optical envelope from nonlinear focussing [32], optical carrier waves themselves do not "break" or plunge as they do in hydrodynamics [33,34]. There are also important differences concerning measurements. Specifically, experiments in optical fibres generally measure only the time-domain envelope intensity, and information about carrier oscillations is not recorded. In contrast, measurements in hydrodynamics directly record the individual carrier wave amplitudes (although envelope information can be reconstructed straightforwardly [35]). Particular care must therefore be taken when comparing statistics between optics and hydrodynamics, because statistics in fibre optics experiments are determined

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Section: A Overviewmentioning

confidence: 99%

Rogue waves and analogies in optics and oceanography

et al. 2019

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“…Indeed, in the recent review of Onorato and Suret (2016) it is speculated that a change of ambient conditions can bring a wave field out of equilibrium, thus provoking amplification of kurtosis before the wave field is brought back to equilibrium.…”

Section: Rogue Waves In Non Equilibrium Wave Fieldsmentioning

confidence: 99%

“…Recent laboratory experiments (Trulsen et al, 2012;Raustøl, 2014) and numerical computations (Gramstad et al, 2013;Viotti and Dias, 2014) have shown that non-equilibrium evolution of wave fields can produce surprisingly rough wave conditions. We anticipate that wave fields that are brought out of equilibrium due to rapidly varying meteorological conditions, or significantly non-uniform environments such as currents or bathymetries (Onorato and Suret, 2016), or possibly the sudden appearance of a ship in a wave field (Molin et al, 2005(Molin et al, , 2014, can be a significant source of rogue waves.…”

Section: Introductionmentioning

confidence: 99%

Rogue Waves in the Ocean, the Role of Modulational Instability, and Abrupt Changes of Environmental Conditions that Can Provoke Non Equilibrium Wave Dynamics

Trulsen

2018

Springer Oceanography

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Modulational instability is an efficient mechanism for the generation of rogue waves in the limit of narrow-banded and long-crested wave fields. While such wave fields are easily achieved in laboratories, there appears to be lacking evidence that known occurrences of rogue waves in the ocean (e.g. Draupner "New Year" wave, Andrea wave) or ship accidents that could have been provoked by rogue waves (e.g. the Prestige accident) actually happened in sea states favorable for the modulational instability to have played an important role. The absence of modulational instability does not mean that nonlinear interactions are unimportant. Here we point out recent results that suggest large deviations from Gaussian statistics can happen due to nonlinearity in the absence of modulational instability, the key ingredient seems to be that the wave field is brought into a state of non-equilibrium.

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“…Random wave fields which are 'out of equilibrium' are expected to evolve on the dynamic O( −2 T 0 ) time scale, as discussed by Annenkov & Shrira (2006) and Annenkov & Shrira (2018). Onorato & Suret (2016) identified wind, current and topography and factors which can bring a wave field out of equilibrium. As noted by Trulsen (2018), random wave-field simulations initialised with artificial spectra exhibit rapid spectral evolution during the early stages of the simulation (see, e.g., Dysthe et al 2003;Socquet-Juglard et al 2005;Toffoli et al 2010;Xiao et al 2013).…”

Section: Introductionmentioning

confidence: 99%