Role of Nonlinear Four-Wave Interactions Source Term on the Spectral Shape

León, Sonia Ponce de; Osborne, A. R.

doi:10.3390/jmse8040251

Cited by 11 publications

(12 citation statements)

References 39 publications

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“…In addition, it was observed that, after the decrease of the peak period, the BFI reached the maximum value. In general, at location P1 and P5 the high values of BFI observed are in a direct relation with a decrease of the Tp (Figure 7) as reported earlier in other studies [50][51][52].…”

Section: Temporal Analysissupporting

confidence: 88%

Extreme Waves in the Agulhas Current Region Inferred from SAR Wave Spectra and the SWAN Model

León

Soares

2021

JMSE

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The influence of the Agulhas Current on the wave field is investigated. The study is conducted by performing high resolution spectral wave model simulations with and without ocean currents. The validation of the numerical simulations is performed for the Significant Wave Height (Hs) using all possible satellite altimetry data available in the study region for a winter period of 2018. Wave spectra and extreme waves parameters are examined in places where waves and current are aligned in the Agulhas Current. Sentinel-1 (S1) wave mode Synthetic Aperture Radar (SAR) spectra are used to estimate the composites of the Hs and BFI (Benjamin–Feir Index). SAR computed BFI and Hs were compared with the respective composites obtained from the Simulating Waves Nearshore (SWAN) model. From the Hs composites using SAR data and modeled data, it can be concluded that the Hs maxima values are distributed in the Agulhas Current Retroflection (ACR) and also in the southern limit of the domain that is affected by the strong circumpolar winds around Antarctic. In addition, the BFI composites exhibit the highest values in the ACR and some few values are observed in the southern border as occurred with the Hs. The results of this study indicate that there is direct correlation between the Agulhas Current strength, the Hs and the BFI. It was found that the modeled directional wave spectra are broadened when the ocean current is considered in the simulation. The analysis of the modeled wave spectra is performed over eddies, rings and meanders in the Agulhas Current region. The transformation of the wave spectra due to current refraction is discussed based on the numerical simulations. The effect of the Agulhas Current on the spectral shape is explored. The spectral wave energy grows when the wave and the current are aligned, resulting in peaked, elongated and widened spectra. A decrease of the peak period was observed before the occurrence of maximum values of BFI, which characterize abnormal sea states.

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Section: Temporal Analysissupporting

confidence: 88%

Extreme Waves in the Agulhas Current Region Inferred from SAR Wave Spectra and the SWAN Model

León

Soares

2021

JMSE

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“…Ponce de León and Osborne [2] address the multidirectionality occurring at low and high wave frequencies as a result of 4-wave nonlinear interactions, observed from simulations based on their numerical model. Mas-Soler et al [3] present promising results on estimating directional spectra from laboratory vessel motion measurements (thereby being independent of dedicated wave sensors), using an improved Bayesian wave inference procedure.…”

Section: Ocean Wave Spectra; Wave Directionalitymentioning

confidence: 99%

“…A state-of-the-art technology in efficient nonlinear 3D wave propagation modelling over large areas (for which, e.g., CFD would be computationally impossible) needs to capture 4-wave interactions (quadruplets) [1,2,4]. Osborne [4] gives a thorough mathematical description with related examples of illustrative results of one related particular analysis method and physical phenomena, namely nonlinear Fourier analysis and breathers.…”

Section: Nonlinear Modulations 4-wave Interaction and Breathersmentioning

confidence: 99%

“…As an outcome of the International Workshop "Future needs and challenges in wave modelling", held by SINTEF in Trondheim, Norway, 21-22 October 2019, this Special Issue includes 10 full Journal scientific papers [1][2][3][4][5][6][7][8][9][10] and two Technical notes [11,12], which have been prepared based on a selection of the Workshop presentations. All publications were peer-reviewed according to Journal standards by international experts.…”

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confidence: 99%

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Selected Papers from the Future Paths and Needs in Wave Modelling Workshop

Stansberg

Rodrigues

2021

JMSE

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“…In particular, different methods exist for the computation of the nonlinear quadruplet interactions in the wave spectrum. One of the methods, the Webb-Resio-Tracy (WRT) method [7][8][9], produces a more accurate physical shape of the power spectrum [10]. Measured power spectra often have a high central peak and enhanced high-frequency channels.…”

Section: Introductionmentioning

confidence: 99%

Influence of Computed Wave Spectra on Statistical Wave Properties

Kokina

Dias

2020

JMSE

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The main goal of the paper is to compare the effects of the wave spectrum, computed using the Discrete Interaction Approximation (DIA) and the Webb–Resio–Tracy (WRT) methods, on statistical wave properties such as skewness and kurtosis in the context of large ocean waves. The statistical properties are obtained by integrating the three-dimensional free-surface Euler equations with a high-order spectral method combined with a phenomenological filter to account for the energy dissipation due to breaking waves. In addition, we investigate the minimum spatial domain size required to obtain meaningful statistical wave properties. The example we chose to illustrate the influence of the wave spectrum on statistical wave properties is that of a hindcast of the sea state that occurred when the extreme Draupner wave was recorded. The numerical simulations are performed over a physical domain of size 4.13 km × 4.13 km. The results indicate that statistical properties must be computed over an area of at least 4 km2. The results also suggest that selecting a more computationally expensive WRT method does not affect the statistical values to a great extent. The most noticeable effect is due to the energy dissipation filter that is applied. It is concluded that selecting the WRT or the DIA algorithm for computing the wave spectrum needed for the numerical simulations does not lead to major differences in the statistical wave properties. However, more accurate energy dissipation mechanisms due to wave breaking are needed.

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Role of Nonlinear Four-Wave Interactions Source Term on the Spectral Shape

Cited by 11 publications

References 39 publications

Extreme Waves in the Agulhas Current Region Inferred from SAR Wave Spectra and the SWAN Model

Extreme Waves in the Agulhas Current Region Inferred from SAR Wave Spectra and the SWAN Model

Selected Papers from the Future Paths and Needs in Wave Modelling Workshop

Influence of Computed Wave Spectra on Statistical Wave Properties

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