Non-linear wave influence is considered in the elliptic mild-slope equation including higher-order terms of water depth, and a non-linear wave mathematical model is derived in which reflection and transmission boundary conditions are involved based on Behrent radiation boundary condition. The model was verified with data obtained from experiment of elliptic shoal topography, and numerical simulation result accord with experiment value well. The model is applied to simulate waves in a permeable breakwater harbor and a sound wave height distribution in the harbor is obtained, can reflect reflection and transmission of the boundary impact on wave condition in the harbor well.

The model of WAVEWATCHIII was applied to simulate two consecutive typhoons, number 1104”Haima” and number 1105”Meari”, and then the results of calculations were compared with the buoy data. The results show that under the influence of the typhoon, sea surface wind field and the significant wave height have similar symmetrical structure in the space distribution. In terms of time, with the development of typhoon, changes of the wind speed cause an invisible effect in wave height which explains that the wave height has very strong dependence on the wind speed. The analysis shows that the WAVEWATCHIII can simulate the characteristics of the typhoon wave.