Articles | Volume 16, issue 1
https://doi.org/10.5194/npg-16-131-2009
© Author(s) 2009. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Special issue:
https://doi.org/10.5194/npg-16-131-2009
© Author(s) 2009. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
The effect of third-order nonlinearity on statistical properties of random directional waves in finite depth
A. Toffoli
Det Norske Veritas, Veritasveien 1, Høvik, 1322, Norway
M. Benoit
Saint-Venant Laboratory for Hydraulics, Université Paris Est (Joint Research Unit EDF R & D, CETMEF, Ecole des Ponts ParisTech), 6 quai Watier, BP 49, 78401 Chatou, France
M. Onorato
Dip. di Fisica Generale, Università di Torino, Via P. Giuria 1, 10125 Torino, Italy
E. M. Bitner-Gregersen
Det Norske Veritas, Veritasveien 1, Høvik, 1322, Norway
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- Rapid spectral evolution of steep surface wave groups with directional spreading D. Barratt et al. https://doi.org/10.1017/jfm.2020.835
- The evolution of large non-breaking waves in intermediate and shallow water. I. Numerical calculations of uni-directional seas V. Katsardi & C. Swan https://doi.org/10.1098/rspa.2010.0280
- Impact of directional spreading on nonlinear KdV-soliton spectra in intermediate water Y. Lee & S. Wahls https://doi.org/10.1016/j.wavemoti.2025.103542
- Evolution of skewness and kurtosis of weakly nonlinear unidirectional waves over a sloping bottom H. Zeng & K. Trulsen https://doi.org/10.5194/nhess-12-631-2012
- Numerical formulation based on ocean wave mechanics for offshore structure analysis – a review N. Mukhlas et al. https://doi.org/10.1080/17445302.2021.1937880
- Modulated wave train with oblique sidebands in finite water depths J. Yang et al. https://doi.org/10.1103/PhysRevFluids.10.064801
- Wind–wave coupling study using LES of wind and phase-resolved simulation of nonlinear waves X. Hao & L. Shen https://doi.org/10.1017/jfm.2019.444
- Modulational instability and wave amplification in finite water depth L. Fernandez et al. https://doi.org/10.5194/nhess-14-705-2014
- Real world ocean rogue waves explained without the modulational instability F. Fedele et al. https://doi.org/10.1038/srep27715
- A new probability density function for the surface elevation in irregular seas D. Fuhrman et al. https://doi.org/10.1017/jfm.2023.669
- Research on the statistical characteristic of freak waves based on observed wave data X. Ji et al. https://doi.org/10.1016/j.oceaneng.2021.110323
- Modulational instability and statistical properties of irregular waves in finite water depth S. Liu et al. https://doi.org/10.1016/j.apor.2021.103031
- The Rayleigh-Haring-Tayfun distribution of wave heights in deep water S. Mendes & A. Scotti https://doi.org/10.1016/j.apor.2021.102739
- Freak waves under typhoon conditions N. Mori https://doi.org/10.1029/2011JC007788
- Influence of varying bathymetry in rogue wave occurrence within unidirectional and directional sea-states G. Ducrozet & M. Gouin https://doi.org/10.1007/s40722-017-0086-6
- Statistics of long-crested extreme waves in single and mixed sea states L. Wang et al. https://doi.org/10.1007/s10236-020-01418-9
- Rogue waves in the northern part of the South China Sea: chaotic dynamics and multiparameter synergy determination T. Feng et al. https://doi.org/10.1007/s00343-025-5140-y
- Spatial Evolution of Skewness and Kurtosis of Unidirectional Extreme Waves Propagating over a Sloping Beach I. Abroug et al. https://doi.org/10.3390/jmse10101475
- Experimental evidence of the modulation of a plane wave to oblique perturbations and generation of rogue waves in finite water depth A. Toffoli et al. https://doi.org/10.1063/1.4821810
- On the Use of a Domain Decomposition Strategy in Obtaining Response Statistics in Non-Gaussian Seas G. Decorte et al. https://doi.org/10.3390/fluids6010028
- Statistical properties of extreme waves in multidirectional wave fields over complex bathymetry L. Mei et al. https://doi.org/10.1007/s10236-023-01586-4
- Nonlinear wave reconstruction and prediction by a shipborne radar with a dynamic averaging algorithm J. Yao et al. https://doi.org/10.1103/jsd9-4kx1
- Effects of nonlinearity on the crest shape of extreme irregular sea waves: Nonlinear harmonic separation and analysis G. Spiliotopoulos & V. Katsardi https://doi.org/10.1063/5.0229953
- A review on the progress and research directions of ocean engineering S. Tavakoli et al. https://doi.org/10.1016/j.oceaneng.2023.113617
- Rogue waves and their generating mechanisms in different physical contexts M. Onorato et al. https://doi.org/10.1016/j.physrep.2013.03.001
- Estimating space–time wave statistics using a sequential sampling method and Gaussian process regression T. Tang & T. Adcock https://doi.org/10.1016/j.apor.2022.103127
- The Velocity Field Underneath a Breaking Rogue Wave: Laboratory Experiments Versus Numerical Simulations A. Alberello & A. Iafrati https://doi.org/10.3390/fluids4020068
- Aftereffect of high-order nonlinearity on extreme wave occurrence from deep to intermediate water H. Kashima & N. Mori https://doi.org/10.1016/j.coastaleng.2019.103559
- A Numerical Study on the Evolution of Random Seas With the Occurrence of Rogue Waves Z. Zhou et al. https://doi.org/10.1115/1.4050266
- The effect of nonlinear wave-structure and soil-structure interactions in the design of an offshore structure K. Chatziioannou et al. https://doi.org/10.1016/j.marstruc.2016.11.003
- Finite-amplitude steady-state wave groups with multiple near-resonances in finite water depth Z. Liu & D. Xie https://doi.org/10.1017/jfm.2019.150
- Efficient derivation of extreme non-Gaussian stochastic structural response using finite-memory nonlinear system. Part 2: model validation N. Mukhlas et al. https://doi.org/10.1080/17445302.2021.1898127
- Laboratory investigation of crest height statistics in intermediate water depths I. Karmpadakis et al. https://doi.org/10.1098/rspa.2019.0183
- Analysis of Dangerous Sea States in the Northwestern Mediterranean Area A. Innocenti et al. https://doi.org/10.3390/jmse9040422
- Freak waves in crossing seas M. Onorato et al. https://doi.org/10.1140/epjst/e2010-01237-8
- Evolution of weakly nonlinear random directional waves: laboratory experiments and numerical simulations A. TOFFOLI et al. https://doi.org/10.1017/S002211201000385X
- Extreme ocean waves. Part I. The practical application of fully nonlinear wave modelling W. Bateman et al. https://doi.org/10.1016/j.apor.2011.05.002
- On the physical constraints for the exceeding probability of deep water rogue waves S. Mendes et al. https://doi.org/10.1016/j.apor.2020.102402
- Estimating the evolution of sea state non-Gaussianity based on a phase-resolving model X. Jiang et al. https://doi.org/10.1007/s00343-021-1236-1
- Crest-height statistics in finite water depth. Part 1: The role of the nonlinear interactions in uni-directional seas E. Zve et al. https://doi.org/10.1016/j.oceaneng.2023.116369
- On the formation of coastal rogue waves in water of variable depth Y. Li & A. Chabchoub https://doi.org/10.1017/cft.2023.21
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- On the near resonances of collinear steady-state wave groups in finite water depth Z. Liu et al. https://doi.org/10.1016/j.oceaneng.2019.04.042
- Four-wave resonant interaction of surface gravity waves in finite water depth S. Liu et al. https://doi.org/10.1103/PhysRevFluids.7.114803
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- Evolution of Random Wave Fields in the Water of Finite Depth D. Dutykh https://doi.org/10.1016/j.piutam.2014.01.046
- An idealised experimental model of ocean surface wave transmission by an ice floe L. Bennetts et al. https://doi.org/10.1016/j.ocemod.2015.03.001
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