Numerical modeling of breaking periodical waves on a sloped beach profile by SPH

Results from a systematic verification and validation of Smoothed Particles Hydrodynamic methods for the numerical simulation of periodic breaking water waves on constant sloped beaches are presented. Periodic waves are generated in deep water and then numerically followed during their propagation in constant bottom depth and their transformation up to the breaking and run-up on a sloped beach profile, in a 2D numerical flume wave tank. We verify the consistency of the method first in the simpler case of deep water second order Stokes water waves generated with a flapped type wave-maker, investigating the effect of a number of tuning parameters of the SPH method like artificial viscosity and smoothing length, among others. Once these parameters have been set to ensure the correct reproduction of the kinematic properties of the generated waves the numerical model is then validated in shallow water, following their transformation on a constant slope bottom. Numerical results are compared with experimental ones in terms of wave profiles and flow field characteristics at different longitudinal location along the sloped beach taken.