14 and γ   = 0.77. Fig. 5 shows a comparison between the long elevated wave data, the results of Synolakis, 1987 and Borthwick et al., 2006 for beach slopes 10

Moreover, it should be noted that the experimental waves generated were in the breaking region (both elevated waves and N-waves), for which analytical runup relationships do not exist. Selleck PD0325901 This has been illustrated in Fig. 4 also, which compares the present data with the analytical results from Madsen and Schaffer (2010). The results presented in Table 2 show that the values of γ   are relatively clustered (0.582<γ<1.250.582<γ<1.25) for the empirically determined selleck coefficients. This suggests that a linear relationship between wave height and runup may exist. The present experimental waves follow the same trend as Synolakis’ for a range of a/ha/h ratios, but the new elevated waves – which overall wavelength and shape differ from typical (steeper) solitary waves generated in previous hydraulic models – have a higher runup

(see Rossetto et al., 2011). Because Synolakis, 1986 and Synolakis, 1987 used a smooth aluminium beach, we would expect his waves to run up higher than the present waves, which were climbing a concrete slope with relatively greater roughness. However, the contrary is observed, which suggests wave amplitude is not the only parameter of importance, and that other measures such as wave length and/ or energy are paramount in determining wave runup. The next step is to look at the correlation between runup and measures characterizing the wave form for long and very long elevated, as well as N-waves. We aim to find a relationship between such measures and R. The present data is used for this purpose to test a large range of wavelengths. Fig. 7 and Fig. 8 confirm that for the data at hand, some correlation between Celecoxib runup and the parameters

considered (potential energy, amplitude, wavelength) exists. One exception appears in Fig. 8(e) where there is no clear trend between wavelength and runup. A possible explanation is that the negative and positive wave components may not have an equal contribution to the overall runup (as can be seen on Fig. 8(g) and (h)), with runup appearing more strongly dependent on positive duration of the wave and positively correlated, while the correlation is slightly weaker and negative for the duration of the trough wave, thus artificially masking the effect of the total wavelength. Therefore, for consistency with the analysis of elevated waves, the wavelength parameter will be included in the runup analysis of N-waves. A potential correlation between LL, hh and a   was checked for in the case of the elevated waves generated in these experiments but without success.