Numerical simulation of wave height and wave set-up in nearshore regions

Based on the time dependent mild slope equation including the effect of wav e energy dissipation, an expression for the energy dissipation factor is de rived in conjunction with the wave energy balance equation, and then a prac tical method for the simulation of wave height and wave set- up in nearshor e regions is presented. The variation of the complex wave amplitude is nume rically simulated by use of the parabolic mild slope equation including the effect of wave energy dissipation due to wave breaking. The components of wave radiation stress are calculated subsequently by new expressions for th em according to the obtained complex wave amplitude, and then the depth-ave raged equation is applied to the calculation of wave set-up due to wave bre aking. Numerical results are in good agreement with experimental data, show ing that the expression for the energy dissipation factor is reasonable and that the new method is effective for the simulation of wave set-up due to wave breaking in nearshore regions.