High order Hamiltonian water wave models with wave-breaking mechanism

Kurnia, R.; Groesen, E.W.C. van

doi:10.1016/j.coastaleng.2014.08.002

Cited by 41 publications

(85 citation statements)

References 36 publications

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“…Explicit expansions for up to fifth-order equations are given in Kurnia and Van Groesen (2014); for the special case of flat bottom, the expansions lead to the same equations as in higher order spectral methods, first developed by West et al (1987) and Dommermuth and Yue (1987), but the implementation in the AB code is directly in surface variables only. In this paper, the third-order code will be used to support effects of four-wave interactions and effects on wave deformation and interactions, as shown in Adcock et al (2015).…”

Section: Third-order Hawassi-ab Code For Wave Simulationsmentioning

confidence: 99%

“…The underlying model is a set of Hamiltonian Boussinesq equations that has been discretised using a pseudo-spectral implementation, Kurnia and Van Groesen (2014. For linear waves, it has exact dispersion; nonlinear extensions in second-, third-, and higher order use Fourier integral operators to deal with the nonlinear phase speed operator that determines the kinetic energy expression.…”

Section: Third-order Hawassi-ab Code For Wave Simulationsmentioning

confidence: 99%

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High waves in Draupner seas—Part 1: numerical simulations and characterization of the seas

Groesen

Turnip²,

Kurnia

2017

J. Ocean Eng. Mar. Energy

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Extreme waves are studied in numerical simulations of the so-called Draupner seas that resemble the wave situation near the observation area of the Draupner wave, an iconic example of a freak, rogue wave. Recent new meteorological insights describe these seas as a substantial wind-generated wave system accompanied by two low-frequency lobes. With the significant wave height H s = 12 m above a depth of 70 m and the wide directional spreading over 120 • as design information, results are presented of simulations of phase resolved waves. Quantitative data are derived from 8000 waves over an area of 15 km 2 . Very high waves with crest heights exceeding 1.5 H s occur in average in 20 min timespan over an area of 0.8 km 2 . Details will be given for an isolated freak wave and a sequence of 3 freak crest heights in a group of 2 high waves. In Part 2, van Groesen and Wijaya (J Ocean Eng Mar Energy, 2017), it will be shown that 60 s before their appearance freak waves can be predicted from radar images on board of a ship that scans the surrounding area over a distance of 2 km.

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Section: Third-order Hawassi-ab Code For Wave Simulationsmentioning

confidence: 99%

Section: Third-order Hawassi-ab Code For Wave Simulationsmentioning

confidence: 99%

High waves in Draupner seas—Part 1: numerical simulations and characterization of the seas

Groesen

Turnip²,

Kurnia

2017

J. Ocean Eng. Mar. Energy

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“…The wave model used is the HAWASSI-AB code with third-order nonlinearity of Kurnia and Van Groesen (2014. A total of 40 seas were simulated and investigated, in total more than 8000 waves through each point of the domain.…”

Section: Draupner Seas and Simulationsmentioning

confidence: 99%

High waves in Draupner seas—Part 2: Observation and prediction from synthetic radar images

Groesen

Wijaya²

2017

J. Ocean Eng. Mar. Energy

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In Part 1, Van Groesen et al. (J Ocean Eng Mar Energy, 2017), a numerical study of extreme waves in socalled Draupner seas showed that extreme crest heights of 18 m, one-and-a-half times the significant wave height, occur in a time span of 20 min on average in every area less than 1 km 2 . Such extreme, steep waves are dangerous for ships and offshore structures. In this Part 2, we demonstrate that using synthetic images of an X-band radar such high waves can be predicted around 60 s before their actual appearance. It will be shown that a recent dynamic average and evolution scenario (DAES) that has demonstrated to lead to good reconstruction of the sea from distorted shadowed radar images of synthetic seas with moderate wave heights can also be applied to the high seas using nonlinear evolution codes. Taking at one instant a reconstructed sea state to calculate the nonlinear sea in future times leads to a qualitatively good prediction that can warn ships of freak waves before their appearance.

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“…In this work only HAWASSI-AB was used, and it is simply referred to as HAWASSI in the remainder of this document. For more information about the model, see [2,3,4,5].…”

Section: Hawassi (Labmath Indonesia -University Of Twente)mentioning

confidence: 99%

Numerical Simulation of Nonlinear Free Surface Water Waves Using a Coupled Potential Flow-Urans/Vof Approach

Düz¹,

Bunnik²,

Kapsenberg³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Keywords: Nonlinear free surface water waves, One-way coupling of potential and viscous flow models, Focusing wave events, Waves on sloping bottom, Survey on wave models.Abstract. This paper first presents a comparison particularly in terms of accuracy between four nonlinear potential flow models for simulation of nonlinear free surface water waves. The performance of the wave models is compared in five test cases in 2D for which measurement data was also available. Three cases involved wave groups propagating over a flat bottom and producing a focusing event, and two cases involved irregular waves propagating over sloping bottom. After the comparison study, one of the potential flow solvers was selected for one-way coupling with a viscous flow solver. Details of this coupling are presented along with some information about the viscous flow solver in question. Here strong suits of both solvers are utilized to simulate nonlinear water waves in an accurate and efficient manner. Even though only simulating nonlinear waves is discussed in the paper, this work was considered as a stepping stone to later focus on hydrodynamic wave loading on structures and wave-structure interaction using this coupling. In the end results showed that such a coupling can indeed be a valuable tool to study wave motion. In all the simulations, comparison with the measurements demonstrated good agreement, and the convergence behavior of the coupled solver was acceptable.

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High order Hamiltonian water wave models with wave-breaking mechanism

Cited by 41 publications

References 36 publications

High waves in Draupner seas—Part 1: numerical simulations and characterization of the seas

High waves in Draupner seas—Part 1: numerical simulations and characterization of the seas

High waves in Draupner seas—Part 2: Observation and prediction from synthetic radar images

Numerical Simulation of Nonlinear Free Surface Water Waves Using a Coupled Potential Flow-Urans/Vof Approach

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