Freak Wave Generation in a Wave Basin With HOSM-WG Method

Houtani, Hidetaka; Waseda, Takuji; Fujimoto, Wataru; Kiyomatsu, Keiji; Tanizawa, Katsuji

doi:10.1115/omae2015-42284

Cited by 3 publications

(5 citation statements)

References 36 publications

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“…Taklo et al (2015) reported experiments and simulations, using the Zakharov (1968) equation, of unidirectional waves. For narrow-banded waves the experiments confirmed the numerical predictions by Gibson & Swan (2006), Krogstad & Trulsen (2010) and Houtani et al (2015). For broad-banded waves the experiments showed that the LDR was satisfied, suggesting validity of linear wave theory.…”

Section: Introductionsupporting

confidence: 74%

“…For unidirectional waves the deviation was observed experimentally and numerically by Taklo et al (2015) and numerically by Gibson & Swan (2006), Krogstad & Trulsen (2010) and Houtani et al (2015). The experiments of Taklo et al (2015) employed ǫ = 0.10 which is higher than ǫ = 0.04 of the MARIN wave fields.…”

Section: Discussionmentioning

confidence: 94%

“…From wavenumber-frequency spectra they found that the spectral contribution deviated from LDR due to nonlinear evolution. The deviation was also demonstrated from simulations of unidirectional waves by Gibson & Swan (2006) using the Zakharov (1968) equation and a fully nonlinear wave model by Bateman et al (2001), and also by Houtani et al (2015) using a higher order spectral method. Taklo et al (2015) reported experiments and simulations, using the Zakharov (1968) equation, of unidirectional waves.…”

Section: Introductionmentioning

confidence: 89%

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On dispersion of directional surface gravity waves

et al. 2017

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(Received ; revised ; accepted . -To be entered by editorial office)Using a nonlinear evolution equation we examine the dependence of the dispersion of directional surface gravity waves on the Benjamin-Feir index (BFI) and crest length. A parameter for describing the deviation between the dispersion of simulated waves and the theoretical linear dispersion relation is proposed. We find that for short crests the magnitude of the deviation parameter is low while for long crests the magnitude is high and depends on the BFI. In the present paper we also consider laboratory data of directional waves from the Marine Research Institute of the Netherlands (MARIN). The MARIN data confirms the simulations for three cases of BFI and crest length.

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Section: Introductionsupporting

confidence: 74%

Section: Discussionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 89%

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On dispersion of directional surface gravity waves

et al. 2017

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“…Houtani et al [6,7] adopted the higher-order spectral method (HOSM) to upgrade the results of Ref. [2] for directional wave excitation.…”

Section: Introductionmentioning

confidence: 99%

“…The HOSM-WG (here WG stands for the wave generation) method developed in Ref. [6,7] was shown to be superior to the conventional wave generation when wave steepness increases, the frequency spectrum broadens or the directional spreading becomes large. Particular attention was paid to the generation of the freak waves.…”

Section: Introductionmentioning

confidence: 99%

Application of Boundary Element Method for Determination of the Wavemaker Driving Signal

Khait

Shemer

2019

Journal of Offshore Mechanics and Arctic Engineering

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A method for the generation of steep nonlinear broad-banded wave trains having an arbitrary prescribed shape is developed. It is shown that the second-order contributions to the velocity field are negligible in deep water, while the second-order bound components of the surface elevation are significant. This fact allows improvement of an iterative method of the wavemaker driving signal adjustment that increases the accuracy of excitation of wave train with the prescribed free waves’ spectrum. The decomposition of the complex amplitude spectrum of the surface elevation into free and bound components is based on the approach adopted in the derivation of the Zakharov model. The iterative adjustment of the driving signal is carried out using the numerical wave tank based on the boundary element method. It is demonstrated that accurate wave train excitation is attained for different values of the wave steepness. The method allows decreasing the number of iterations needed for the driving signal adjustment. The surface elevation values measured in the laboratory wave tank agree closely with those obtained in the numerical simulations. The measured and the simulated frequency spectra are in agreement as well.

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Experimental and numerical investigations of temporally and spatially periodic modulated wave trains

2018

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A number of studies on steep nonlinear waves were conducted experimentally with the temporally periodic and spatially evolving (TPSE) wave trains and numerically with the spatially periodic and temporally evolving (SPTE) ones. The present study revealed that, in the vicinity of their maximum crest height, the wave profiles of TPSE and SPTE modulated wave trains resemble each other. From the investigation of the Akhmediev-breather solution of the nonlinear Schrödinger equation (NLSE), it is revealed that the dispersion relation deviated from the quadratic dependence of frequency on wavenumber and became linearly dependent instead. Accordingly, the wave profiles of TPSE and SPTE breathers agree. The range of this agreement is within the order of one wave group of the maximum crest height and persists during the long-term evolution. The findings extend well beyond the NLSE regime and can be applied to modulated wave trains that are highly nonlinear and broad-banded. This was demonstrated from the numerical wave tank simulations with a fully nonlinear potential flow solver based on the boundary element method, in combination with the nonlinear wave generation method based on the prior simulation with the higher-order spectral model. The numerical wave tank results were confirmed experimentally in a physical wave tank. The findings of this study unravel the fundamental nature of the nonlinear wave evolution. The deviation of the dispersion relation of the modulated wave trains occurs because of the nonlinear phase variation due to quasi-resonant interaction, and consequently, the wave geometry of temporally and spatially periodic modulated wave trains coincides.

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Freak Wave Generation in a Wave Basin With HOSM-WG Method

Cited by 3 publications

References 36 publications

On dispersion of directional surface gravity waves

On dispersion of directional surface gravity waves

Application of Boundary Element Method for Determination of the Wavemaker Driving Signal

Experimental and numerical investigations of temporally and spatially periodic modulated wave trains

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