Shock phenomena near the coast: numerical modelling with FVM-FDM techniques

One dimensional Boussinesq equations are integrated numerically trough a predictorcorrector scheme combined with a finite difference – finite volume spatial integration, that allows classical finite volume Godunov approach to be applied to pure advective terms. The 1D numerical scheme has been tested with regular waves propagating over a sloping beach in presence of impermeable breakwaters. The structures were both partially emerged and completely submerged. The generated waves overtopped the barrier, spreading behind it. The results are shown and compared with experimental data deducted from literature.