A numerical method for solving 3D unsteady potential flow problem of ship advancing in waves is proposed. The flow field is divided into inner and outer domain by an artificial matching surface. The inner domain includes ship-wetted surface, matching surface and free surface inside. The free-surface condition is formulated by perturbation about the double-body flow (DB model) or uniform incoming flow assumption (NK model). The outer domain contains matching surface, free surface outside and infinite far-field boundary, where only NK model is applied. The simple Green function and transient free surface Green function are used to form the boundary integral equation (BIE) by the impulse response function method for the inner and outer domain. Taylor Expansion Boundary Element Method (TEBEM) is utilized to solve the BIEs. Matching conditions for the inner-domain and outer-domain flow are enforced by the continuity of velocity potential and normal velocity on the matching surface. In this paper, several ships are selected to predict the hydrodynamic coefficients and displacement at different forward speed. The experiment measurements in physical tank is also used to validate the accuracy of numerical results. Good agreement of 6DOF ship motions in various wave headings can be obtained using 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。通过人工匹配表面将流场分为内部区域和外部区域。内域包括船润湿的表面，匹配的表面和内部的自由表面。自由表面条件是通过对双体流（DB模型）或均匀流入流量假设（NK模型）的摄动来表述的。外域包含匹配表面，外部自由表面和无限远场边界，其中仅应用了NK模型。简单的格林函数和瞬态自由表面格林函数通过内外域的脉冲响应函数方法形成边界积分方程（BIE）。泰勒扩展边界元法（TEBEM）用于求解BIE。内域和外域流动的匹配条件通过匹配表面上速度势和法向速度的连续性来强制执行。在本文中，选择了几艘船来预测不同前进速度下的水动力系数和位移。在物理罐中进行的实验测量也用于验证数值结果的准确性。使用TEBEM方法可以使6DOF船舶在各种波浪方向上的运动都具有良好的一致性。