Swash Zone Dynamics due to Impulsive Waves

Abstract

On the basis of the recently proposed boundary value problem for the nonlinear shallow water equations and the extension of its available solutions for swash zone flows, we propose regression curves for the prediction of the maximum runup and the maximum rundown induced by impulsive waves on a frictionless, uniformly sloping beach. This class of input waves is generally used to represent tsunami waves generated by seismic fault dislocations or submarine landslides. Therefore, they have important applications in the coastal engineering practice. Regression formulas are expressed as functions of both the wave height and the wave steepness and are validated through comparison with maximum runup laws and breaking conditions already available in the literature.