On radiation boundary conditions and wave transformation across the surf zone

The purpose of this paper is to extend the validity of Li's parabolic model (1994) by incorporating a combined energy factor in the mild-slope equatio n and by improving the traditional radiation boundary conditions. With wave breaking and energy dissipation expressed in a direct form in the equation , the proposed model could provide an efficient numerical scheme and accura te predictions of wave transformation across the surf zone. The radiation b oundary conditions are iterated in the model without use of approximations. The numerical predictions for wave height distributions across the surf zo ne are compared with experimental data over typical beach profiles. In addi tion, tests of waves scattering around a circular pile show that the propos ed model could also provide reasonable improvement on the radiation boundar y conditions for large incident angles of waves.