A one dimensional numerical scheme to study Boussinesq equation in transitional waters is
considered. The time integration is carried out by means of a predictor-corrector scheme,
while the spatial integration is conducted through an hybrid scheme, that uses finite volume
method (FVM) for the advective part and finite difference method (FDM) for dispersive
terms, bottom slope and flow resistance. In FVM the HLL Riemann solver has been used.
The original numerical scheme is extended to the surf zone, introducing a wet and dry Riemann
problem. Three experimental tests of regular wave in a wave flume have been considered.
The generated waves break creating a plunging, a plunging-collapsing and a collapsing
wave. The numerical model has been applied to these experimental tests, reproducing well
both wave breaking and run up – run down phenomena. The results are shown and compared
with experimental data.
