A numerical method for solving 3D unsteady potential flow problem of ship advancing in waves is put forward. The flow field is divided into an inner and an outer domain by introducing an artificial matching surface. The inner domain is surrounded by ship wetted surface and matching surface as well as part of the free surface. The free surface condition for the inner domain is formulated by perturbation about the double-body flow or uniform incoming flow assumption. The outer domain is surrounded by matching surface and the rest free surface as well as infinite far-field radiation boundary. The free surface condition for the outer domain is formulated by perturbation about uniform incoming flow. The simple Green function and transient free surface Green function are used to form the boundary integral equation (BIE) for the inner and outer domains, respectively. Taylor Expansion Boundary Element Method (TEBEM) is utilized to solve the double-body flow and inner domain and outer domain unsteady flow BIE. Matching conditions for the inner domain flow and outer domain flow are enforced by the continuity of velocity potential and normal velocity on the matching surface. Direct pressure integration on ship wetted surface is used to obtain the first-order and second-order wave forces (moments). The numerical predictions on the displacement, added resistance, sway mean drift force and yaw mean drift moment of the modified KVLCC2 ship at different forward speeds are investigated by the proposed TEBEM method. It is also compared with the other numerical results. The physical tank experiment results are also developed to validate the accuracy of numerical tank results. Compared with the experiment solutions, a good agreement can be obtained by TEBEM method.

提出了一种解决船舶在波浪中行进的3D非稳态势流问题的数值方法。通过引入人工匹配表面，将流场分为内部区域和外部区域。内部区域被船的润湿表面和匹配表面以及自由表面的一部分包围。内域的自由表面条件是通过对双体流或统一的输入流假设的摄动来表述的。外域被匹配表面和其余自由表面以及无限远场辐射边界包围。外域的自由表面条件是由对均匀流入流的扰动来表述的。简单的格林函数和瞬态自由表面格林函数用于形成内部和外部区域的边界积分方程（BIE），分别。泰勒展开边界元法（TEBEM）用于求解双体流动以及内域和外域非恒定流BIE。内域流和外域流的匹配条件由匹配面上的速度势和法向速度的连续性来强制。船舶湿润表面上的直接压力积分用于获得一阶和二阶波浪力（力矩）。提出的TEBEM方法研究了改进型KVLCC2船在不同前进速度下的位移，附加阻力，摇摆平均漂移力和偏航平均漂移力矩的数值预测。还将其与其他数值结果进行比较。还开发了物理坦克实验结果，以验证数字坦克结果的准确性。