Based on the refraction-diffraction theory of irregular waves in the waters
of slowly-varying currents and depths, and the generation dissipation theo
ry of wind wave, a model for nonlinear irregular waves in coastal area is d
eveloped. In light of the specific conditions of coastal wave character and
engineering application, a practical mathematical model for the nonlinear
irregular waves is presented, with directional spectrum in coastal area. Co
ast effect, refraction, whitecapping, bottom friction, current, wind and no
nlinear action are considered in this model. The numerical methods and sche
mes for wave refraction ray, energy conservation of propagation, energy bal
ance of the generation and dissipation of wind waves have been studied. Fin
ally, the model is used for the directional wave spectrum computation in th
e Daya Bay. Compared with the measured data with 956 wave bouys in the Daya
Bay, the model results are in good agreement with the measured results.