The main difficulties arise from the occurrence of large deformations of the air-water interface and from the imposition of the boundary conditions along it. The main drawback of the weakly-compressible models is represented by the generation of a spurious numerical acoustic noise that affects both the pressure and density fields. In the Smoothed Particle Hydrodynamics (SPH) literature, several attempts have been made to overcome this issue. The differential operators adopted to discretize the system are those typical of the so-called standard SPH model. The presence of solid profiles causes a cut of the kernel domains of particles that are close to the body. To avoid inconsistencies and to assign the correct boundary conditions, the “missing” volume in the incomplete kernel domain has to be properly modelled. Wave measurements from the closest buoy are considered in order to have realistic characteristics of the extreme events occurring in the site.