Numerical modeling of rogue waves in coastal waters

Sergeeva, Anna; Slunyaev, Alexey; Pelinovsky, Efim; Talipova, Tatiana; Doong, Dong Jiing

doi:10.5194/nhess-14-861-2014

Cited by 13 publications

(8 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Shallow water simulations were performed by Pelinovsky & Sergeeva (2006), which claim that the probability of high waves increases when the shallow water nonlinear parameter, the Ursell number, is large. Papers by Sergeeva et al (2011Sergeeva et al ( , 2014 and , , Viotti & Dias (2014) consider variable depth and thus correspond to the situation, when waves are not in a stationary state. The nonlinear mechanism of adiabatic wave enhancement due to decreasing water depth is discussed in Slunyaev et al (2015).…”

Section: Introductionmentioning

confidence: 99%

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

2016

Self Cite

View full text Add to dashboard Cite

The evolution of unidirectional nonlinear sea surface waves is calculated numerically by means of solutions of the Euler equations. The wave dynamics corresponds to quasiequilibrium states characterized by JONSWAP spectra. The spatio-temporal 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. The lifetimes of rogue events may reach up to 30-60 wave periods depending on the water depth. The maximum observed wave has height of about 3 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.

show abstract

Section: Introductionmentioning

confidence: 99%

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

2016

Self Cite

View full text Add to dashboard Cite

show abstract

“…Remarkably the constant buoyancy frequency may not play a critical role in the condition of occurrence, but the mode number of the internal wave does. For breathers or other pulsating modes, this buoyancy frequency 25 parameter will enter the likelihood estimation and further analytical and computational studies will be valuable (Sergeeva et al, 2014 …”

Section: Discussionmentioning

confidence: 99%

Brief communication: The occurrence of rogue waves in the interior of the oceans: A modelling and computational study

Chow

Chan

Grimshaw

2018

Preprint

View full text Add to dashboard Cite

Abstract. The occurrence of unexpectedly large displacements in the interior of the oceans is studied through the dynamics of packets of internal waves, where the evolution is governed by the nonlinear Schrödinger equation. The case of constant buoyancy frequency permits analytical treatment. While modulation instability for surface waves only arises for sufficiently 10 deep water, rogue internal waves may occur if the fluid depth is shallow. The dependence on the stratification parameter and choice of internal modes can be demonstrated explicitly. The spontaneous generation of rogue waves is tested by numerical simulations.

show abstract

“…However, most waves will not contribute to develop the freak wave. According to [27,28,29,30,31], a freak wave can be generated locally from clustered waves. Given a time signal, we investigate parts of the signal that may generate a freak wave based on the amount of the local energy, so-called group events [26].…”

Section: Local Coherencementioning

confidence: 99%

Freak Wave Formation from Phase Coherence

Latifah

Groesen²

2017

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Abstract. This paper describes freak waves by a (pseudo-)maximal wave proposed in [1]. The freak wave is a consequence of a group event that is present in a time signal at some position and contains successive high amplitudes with different frequencies. The linear theory predicts the position and time of the maximal amplitude wave quite well by minimizing the variance of the total wave phase of the given initial signal. The formation of the freak wave is shown to be mainly triggered by the local interaction of waves evolving from the group event that already contained large local energy. In the evolution, the phases become more coherent and the local energy is focussed to develop a larger amplitude. We investigate two laboratory experimental signals, a dispersive focussing wave with harmonic background and a scaled New Year wave. Both signals generate a freak wave at the predicted position and time and the freak wave can be described by a pseudo-maximal wave with specific parameters.

show abstract

Numerical modeling of rogue waves in coastal waters

Cited by 13 publications

References 33 publications

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

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

Brief communication: The occurrence of rogue waves in the interior of the oceans: A modelling and computational study

Freak Wave Formation from Phase Coherence

Contact Info

Product

Resources

About