| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1725009 | Ocean Engineering | 2016 | 13 Pages |
•Non-hydrostatic wave model is performed to investigate the transmission coefficients.•New formula of wave transmission coefficients for mean wave period KpKp is proposed.•The reduction of the mean period is mainly caused by high-frequency harmonics.•KpKp has good linear correlation with the relative submergences and wave steepness.•The new formula is able to account for 96% variability of KpKp for smooth breakwater.
In the present study, new empirical formulas of wave transmission coefficients, including KpKp for the mean wave period and KtKt for the significant wave height, defined as the ratios between the transmitted and incident values of a smooth submerged breakwater, are proposed based on results simulated using the SWASH non-hydrostatic wave model. According to the analysis of the numerical results, both KtKt and KpKp are less than 1.0, and the transmitted peak period is close to the incident peak period in most cases. The reduction of wave height is mainly caused by energy loss due to wave breaking, and the reduction of the mean period is mainly caused by the generation of high-frequency harmonics after the submerged breakwater. Moreover, both KtKt and KpKp have good linear correlations with the relative submergences, and KpKp has a good linear relationship with wave steepness. The relative crest width and slope have no significant effect on the transmission coefficient of the submerged breakwater compared with the effects of the relative submergences and wave steepness. Based on the factors mentioned above, new empirical formulas are formed. The coefficients of determination (RCor2) of KtKt and KpKp between measurements and values calculated using the new empirical formulas are 0.90 and 0.95, respectively, representing an improvement over the models of Carevic et al., 2013 and Van der Meer et al., 2003. The sensitivities of KtKt and KpKp to the variables in the empirical formulas are also investigated. According to the sensitivity analysis, a simplified formula of KtKt is suggested based on the relative submergence and breaker parameter, and a simplified formula of KpKp is proposed based on the relative submergence and wave steepness.
