In this research, based on three-dimensional (3D) time domain hybrid Green function method, the time-domain nonlinear initial boundary value problem of a ship motion in waves with forward speed is solved. The 3D Rankine source and 3D time domain free surface Green function are adopted to solve flow fields of the inner and the outer domains respectively. Meantime, the instantaneous wet surface during ship motion is divided into boundary elements in every time step, to calculate nonlinear incident wave and static restoring forces. Combining with the linear solution of radiation and diffraction problems, the nonlinear time domain numerical method based on 3D hybrid Green function method for ship motion in waves with forward speed is established. Numerical simulation and analysis are carried out for Wigley and S175 ships with different forward speeds and wave angles respectively by developed numerical solver. The comparison with the experimental results show that the proposed nonlinear numerical method has an obvious improvement in predicting accuracy under complicated conditions such as with higher forward speed and large flare, which proves it has good prospect in engineering applications.

在这项研究中，基于三维（3D）时域混合格林函数方法，解决了舰船在前进速度中的运动的时域非线性初始边界值问题。采用3D Rankine源和3D时域自由曲面Green函数分别求解内部和外部域的流场。同时，将船舶运动过程中的瞬时湿表面在每个时间步中划分为边界元素，以计算非线性入射波和静态恢复力。结合辐射和衍射问题的线性解，建立了基于3D混合格林函数法的舰船前进速度非线性时域数值方法。通过开发的数值求解器分别对前进速度和波角不同的威格利和S175船进行了数值模拟和分析。与实验结果的比较表明，所提出的非线性数值方法在前进速度较高，火炬较大等复杂条件下的预测精度有明显的提高，证明了其在工程应用中的良好前景。