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arXiv · 1508.07702

Wave breaking onset of two-dimensional deep-water wave groups in the presence and absence of wind

Arvin Saket·William L. Peirson·Michael L. Banner·Xavier Barthelemy·Michael J. Allis
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Abstract

The criterion for the initiation of breaking demonstrated numerically by Barthelemy et al. (2015) has been investigated in the laboratory for unidirectional wave groups in deep-water and extended to include conditions of moderate wind forcing. Thermal Image Velocimetry was used to compare measurements of the crest surface water particle velocity (Us) with the wave crest velocity (C), as determined by an array of closely-spaced wave gauges. The energy flux ratio Bx = Us/C that distinguishes maximum recurrence from marginal breaking was found to be 0.840 $\pm$ 0.016 in good agreement with the numerically determined value of 0.855. Further, the threshold was found to be robust for different classes of wave groups of distinct characteristic steepness at the breaking threshold. Increasing wind forcing from zero to Uλ/4/C0=1.42 increased this threshold by 2%. Increasing the spectral bandwidth (decreasing the Benjamin-Feir index from 0.39 to 0.31) systematically reduced the threshold by 1.5%.

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Arvin Saket, William L. Peirson, Michael L. Banner, Xavier Barthelemy, Michael J. Allis. 2015-08-31. Wave breaking onset of two-dimensional deep-water wave groups in the presence and absence of wind. https://arxiv.org/abs/1508.07702

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