2011
DOI: 10.9753/icce.v32.waves.19
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Spectral Description of Energy Dissipation in Breaking Wave Groups

Abstract: The dissipation characteristics of laboratory breaking wave groups and random waves are studied. A time-domain eddy viscosity model is used to represent the breaking wave, and the instantaneous dissipation time series deduced from measurements of free surface elevation. Fourier series of these time series yields the dissipation rate as a function of frequency, the frequency dependence of which has been shown to be the inverse of that of the spectral density of free surface elevation for random waves. It is sho… Show more

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Cited by 3 publications
(4 citation statements)
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“…A possible explanation for this is that due to the more energetic wave conditions for Case 1 there is stronger grouping of waves for Case 1 than for Case 2. Research by Kaihatu and Safty (2010) shows that wave groups undergo a greater degree of dissipation than equivalent random waves. Thus, for the stronger wave grouping that appears in Case 1 the model must be provided with a stronger dissipation given by a lower value of the parameter gamma, while for Case 2 gamma had to be slightly higher.…”
Section: Wave Modelmentioning
confidence: 99%
“…A possible explanation for this is that due to the more energetic wave conditions for Case 1 there is stronger grouping of waves for Case 1 than for Case 2. Research by Kaihatu and Safty (2010) shows that wave groups undergo a greater degree of dissipation than equivalent random waves. Thus, for the stronger wave grouping that appears in Case 1 the model must be provided with a stronger dissipation given by a lower value of the parameter gamma, while for Case 2 gamma had to be slightly higher.…”
Section: Wave Modelmentioning
confidence: 99%
“…A more detailed and robust model for estimating bulk dissipation offers more insight into the nature of energy dissipation. Kaihatu and El Safty (2011) formulated a bulk dissipation mechanism based on a summation of the detailed dissipation rate estimations, as seen below:…”
Section: Bulk Dissipationmentioning
confidence: 99%
“…The resulting frequency dependent dissipation rate can be integrated over the spectrum (Kaihatu and El Safty 2011;hereafter KE11) to derive a bulk dissipation estimate that is comparable to the previously mentioned empirically-based methods but which are instead based on a population of instantaneous dissipation events rather than assumed probability distributions. With suitable adjustment of breaking parameters through comparison to bulk models, the result offers both the proper energy decay rate over the steep reef face and a view of the individual breaking waves.…”
Section: Introductionmentioning
confidence: 99%
“…However, this dependence does not hold for wave groups. It was noted that, apparently, wave groups on the whole are subject to dissipation to a greater extent than waves, equivalent in spectral parameters without a group structure [15].…”
Section: Introductionmentioning
confidence: 99%