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Rogue wave

About: Rogue wave is a research topic. Over the lifetime, 2977 publications have been published within this topic receiving 70933 citations. The topic is also known as: freak wave & monster wave.


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28 May 2006
TL;DR: In this paper, the impact of a freak wave on a cylindrical offshore support structure is modeled as the slamming process of a wave front around a circular cross-section, by a finite volume -volume of fluid approach.
Abstract: In this paper, we study the impact on cylindrical piles of extreme waves (freak waves), generated by directional wave focusing. Waves are numerically modeled based on a boundary element discretization of fully nonlinear potential flow equations with free surface evolution. Higher-order boundary elements are used for the spatial discretization, and a higher-order time integration scheme based on the Taylor series expansion is applied. We model the pressure impact of a freak wave on a cylindrical offshore support structure, as the slamming process of a wave front around a circular cross-section, by a finite volume – volume of fluid approach. Results are analyzed in detail and compared to an analytic solution and to experimental results. Finally, the full loading on a cylindrical tower structure, due to a freak wave, is determined.

26 citations

Journal ArticleDOI
Shihua Chen1
TL;DR: In this paper, exact rogue wave solutions of the long wave-short wave resonance equation are obtained via Darboux transformations via a single-hump structure, and the short-wave field can be manifested as bright rogue wave, intermediate rogue wave or dark rogue wave depending on the subtle nonlinearity driven by the long-wave fields.

26 citations

01 Jan 2003
TL;DR: In this article, the authors analyzed the motion behavior and resulting splitting forces of a semisubmersible of type GVA 4000 in a reported rogue wave, the Draupner New Year Wave embedded in irregular seas.
Abstract: For the design of safe and economic offshore structures and ships the knowledge of the extreme wave environment and the related wave/structure interactions is required. In general frequencydomain analysis has been regarded as an adequate tool for the assessment of motions and loads which are needed to derive stresses, fatigue and wear as well as operational limitations. However, the increasing number of reported rogue waves with unexpected large wave heights (Hmax/Hs > 2), crest heights (ζmax/Hmax > 0.6), wave steepness and group pattern (e.g. Three Sisters) may suggest a reconsideration of design codes. For investigating the response to specific extreme sea conditions this paper analyzes the motion behavior and resulting splitting forces of a semisubmersible of type GVA 4000 in a reported rogue wave, the Draupner New Year Wave embedded in irregular seas. Response evaluations in time-domain provide information of the significance of rogue wave impact. The numerical time-domain investigation using a panel-method and potential theory is compared to frequency-domain results. For time-domain analysis the commercial code TiMIT is used to provide the motions and forces on the wetted body of the semisubmersible in rogue waves as time series. Corresponding response amplitude operators are also calculated with WAMIT, a program system for zero-speed problems. The resulting response spectra, e.g. the splitting forces, are then transformed into time-domain, using Fourier transformation. For validation, the selected sea condition is generated in a physical wave tank, and the seakeeping behavior as well as the (splitting) forces on the semisubmersible are evaluated at model scale. In conclusion, WAMIT and TiMIT results compare quite well as far as significant and maximum motions and forces are evaluated by a frequency-domain analysis. Also the time-domain analysis of the dynamics of the selected semisubmersible agrees satisfactorily with experimental results. Thus, the effect of rogue wave sequences is adequately predicted by TiMIT evaluations. The specific freak wave itself excites motions and forces, i.e. which are directly correlated to the maximum wave heights, resonance phenomena are not observed in the investigated time-domain case. As higher responses are observed as compared to standard frequencydomain methods, design procedures and codes should be reconsidered if more comprehensive data on freak waves and their impact has been analyzed.

26 citations

Journal ArticleDOI
TL;DR: The statistical characterization of pulse amplitude reveals a long tail probability distribution, indicating the occurrence of extreme events, often called rogue waves, in Kerr cavities.
Abstract: We report the existence of stable dissipative light bullets in Kerr cavities. These three-dimensional (3D) localized structures consist of either an isolated light bullet (LB), bound together, or could occur in clusters forming well-defined 3D patterns. They can be seen as stationary states in the reference frame moving with the group velocity of light within the cavity. The number of LBs and their distribution in 3D settings are determined by the initial conditions, while their maximum peak power remains constant for a fixed value of the system parameters. Their bifurcation diagram allows us to explain this phenomenon as a manifestation of homoclinic snaking for dissipative light bullets. However, when the strength of the injected beam is increased, LBs lose their stability and the cavity field exhibits giant, short-living 3D pulses. The statistical characterization of pulse amplitude reveals a long tail probability distribution, indicating the occurrence of extreme events, often called rogue waves.

26 citations

Journal ArticleDOI
TL;DR: It clearly appears that rogue wave behavior strongly depends on the frequency and the regime considered, and the stability conditions of the electromagnetic wave have also been discussed at frequency ranges considered for both negative index and absorption regimes.
Abstract: We investigate the behavior of the electromagnetic wave that propagates in a metamaterial for negative index regime. Second-order dispersion and cubic-quintic nonlinearities are taken into account. The behavior obtained for negative index regime is compared to that observed for absorption regime. The collective coordinates technique is used to characterize the light pulse intensity profile at some frequency ranges. Five frequency ranges have been pointed out. The perfect combination of second-order dispersion and cubic nonlinearity leads to a robust soliton at each frequency range for negative index regime. The soliton peak power progressively decreases for absorption regime. Further, this peak power also decreases with frequency. We show that absorption regime can induce rogue wave trains generation at a specific frequency range. However, this rogue wave trains generation is maintained when the quintic nonlinearity comes into play for negative index regime and amplified for absorption regime at a specific frequency range. It clearly appears that rogue wave behavior strongly depends on the frequency and the regime considered. Furthermore, the stability conditions of the electromagnetic wave have also been discussed at frequency ranges considered for both negative index and absorption regimes.

26 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023234
2022479
2021291
2020280
2019272
2018205