Working Paper Article Version 1 This version is not peer-reviewed

Influence of the Wave Spectrum on Statistical Wave Properties

Version 1 : Received: 15 November 2020 / Approved: 16 November 2020 / Online: 16 November 2020 (13:45:14 CET)

How to cite: Kokina, T.; Dias, F. Influence of the Wave Spectrum on Statistical Wave Properties. Preprints 2020, 2020110421 Kokina, T.; Dias, F. Influence of the Wave Spectrum on Statistical Wave Properties. Preprints 2020, 2020110421

Abstract

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. 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 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.

Subject Areas

Draupner storm; spectral methods; DIA; WRT; WAVEWATCH III; wave statistics; breaking waves; rogue waves.

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