A numerical method for solving 3D unsteady potential flow problem of ship advancing in waves was put forward. The flow field was divided into an inner and an outer domain by introducing an artificial matching surface. The inner domain was surrounded by a ship-wetted surface and a matching surface as well as part of the free surface. The free-surface condition for the inner domain was formulated by perturbation about the double-body (DB) flow assumption. The outer domain was surrounded by a matching surface and the rest had a free surface as well as an infinite far-field radiation boundary. The free-surface condition for the outer domain was formulated by perturbation of the uniform incoming flow. The simple Green function and transient free-surface Green function were used to form the boundary integral equation (BIE) for the inner and outer domains, respectively. The Taylor expansion boundary element method (TEBEM) was adopted to solve the DB flow and inner-domain and outer-domain unsteady flow BIE. Matching conditions for the inner-domain flow and outer-domain flow were enforced by the continuity of velocity potential and normal velocity on the matching surface. Direct pressure integration on the ship-wetted surface was applied to obtain the first- and second-order wave forces. The numerical prediction on the displacement, acceleration and added resistance of the 14000-TEU container ship at different forward speeds were investigated by the proposed TEBEM method. Reynolds-Averaged Navier–Stokes (RANS) equations based on Computational Fluid Dynamics (CFD) method were adopted to compare with TEBEM method. The physical tank experiment results also validated the accuracy of the numerical tank results. Compared with the experimental solutions, TEBEM obtained good agreement with the RANS CFD method. TEBEM, however, was much more efficient and robust.

中文翻译：

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前进航速船舶波浪附加阻力的时域TEBEM方法

提出了一种求解船舶在波浪中前进的三维非定常势流问题的数值方法。通过引入人工匹配面将流场分为内域和外域。内部域被船舶润湿表面和匹配表面以及部分自由表面包围。内部域的自由表面条件是通过关于双体 (DB) 流动假设的扰动来制定的。外域被匹配表面包围，其余区域具有自由表面以及无限远场辐射边界。外域的自由表面条件由均匀传入流的扰动公式化。简单的格林函数和瞬态自由表面格林函数分别用于形成内域和外域的边界积分方程（BIE）。采用泰勒展开边界元法(TEBEM)求解DB流和域内外非定常流BIE。内域流和外域流的匹配条件由匹配表面上速度势和法向速度的连续性强制执行。在船舶润湿表面上应用直接压力积分以获得一阶和二阶波浪力。采用TEBEM方法研究了14000-TEU集装箱船在不同前进速度下的位移、加速度和附加阻力的数值预测。采用基于计算流体动力学（CFD）方法的雷诺平均纳维-斯托克斯（RANS）方程与TEBEM方法进行比较。物理罐实验结果也验证了数值罐结果的准确性。与实验解决方案相比，TEBEM 与 RANS CFD 方法获得了良好的一致性。然而，TEBEM 的效率和稳健性要高得多。