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用二阶理论在时域范围内研究二维二阶非线性水波的辐射问题，一阶、二阶问题分别满足各自的自由表面条件和物面条件，采用人工阻尼来吸收反射波．计算采用有限元法，对水平半圆柱体在水面的振荡问题进行了计算，计算了波高时间历程和水动力，计算结果与有关文献中的数据相比符合较好．
The second-order theory is used to study the radiation problem of two-dimensional second-order nonlinear water wave in the time-domain. The first-order and the second-order problems satisfy the free surface condition and the object surface condition respectively, and artificial damping absorbs the reflected wave. The finite element method was used to calculate the oscillation of the horizontal semicircular cylinder on the water surface. The time history of wave height and hydrodynamic force were calculated. The calculated results are in good agreement with the data in the literature.