Extreme Inundation Statistics on a Composite Beach

Ahmed Abdalazeez (1) , Ira Didenkulova (1) , Denys Dutykh (2, 3, 4) , Céline Labart (2, 4)

1 TTÜ - Tallinn University of Technology
2 LAMA - Laboratoire de Mathématiques
3 INSMI-CNRS - Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques
4 USMB [Université de Savoie] [Université de Chambéry] - Université Savoie Mont Blanc

The runup of initial Gaussian narrow-banded and wide-banded wave fields and its statistical characteristics are investigated using direct numerical simulations, based on the nonlinear shallow water equations. The bathymetry consists of the section of a constant depth, which is matched with the beach of constant slope. To address different levels of nonlinearity, the time series with five different significant wave heights are considered. The selected wave parameters allow also seeing the effects of wave breaking on wave statistics. The total physical time of each simulated time-series is 1000 hours (~360000 wave periods). The statistics of calculated wave runup heights are discussed with respect to the wave nonlinearity, wave breaking and the bandwidth of the incoming wave field. The conditional Weibull distribution is suggested as a model for the description of extreme runup heights and assessment of extreme inundations.

Mots clés: wave statistics; wave runup; numerical modelling; nonlinear shallow water theory; wave breaking; freak runups

Domaines: Mécanique des fluides [physics.class-ph]; Dynamique des Fluides [physics.flu-dyn]; Physique Atmosphérique et Océanique [physics.ao-ph]; Physique Classique [physics.class-ph]; Physique Numérique [physics.comp-ph]; Applications [stat.AP]; Statistiques [math.ST]; Analyse numérique [math.NA]

Ahmed Abdalazeez, Ira Didenkulova, Denys Dutykh, Céline Labart. Extreme Inundation Statistics on a Composite Beach. Water, 2020, Observation-Driven Understanding, Prediction, and Management in Hydrological/Hydraulic Hazard and Risk Studies, 12 (6), pp.1573. ⟨10.3390/w12061573⟩. ⟨hal-02657270⟩