In this work we presented a numerical study of run-up oscillations over a typical fringing reef profile at laboratory-scale. The non-hydrostatic SWASH model was calibrated and validated using experimental data of free surface elevation for 8 gauges and run-up oscillations. The model shows a high sensitivity to variations in the parameters of bottom friction and horizontal mixing length. A process of calibration found the optimal values to be and respectively. With these values, the model is good at reproducing bulk run-up parameters such as the mean run-up period, sea-swell significant run-up and infragravity significant run-up. The ratio between the infragravity and sea-swell run-up is highly dependent on the surf similarity parameter. For dissipative and intermediate conditions, the run-up is mainly dominated by low frequency or infragravity oscillations, whereas for reflective conditions high frequency or sea-swell oscillations become more important.

The results show that the run-up spectrum at high frequencies is proportional to the frequency power negative four. The energy level at high frequencies is apparently independent of the offshore wave conditions and the width of the reef flat. However, the depth of the reef crest seems to be the most influential variable on the high-frequency energy. A parametric equation that depends on both the energy level at high frequency and a function of the run-up period was obtained to analyze the spectral characteristics of the wave run-up. This equation can be considered a first approach to a general parameterization of the run-up spectrum for reef zones, which can be useful in coastal engineering applications, such as predicting both the run-up height and frequency, spectral response of sediment transport in the swash zone, and coupling with spectral wave models.

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