A new three-dimensional (3D) time-domain panel method is developed to solve the ship hydrodynamic problem and motions. For an advancing ship with a constant forward speed in regular waves, the ship’s hull can be discretized and processed into a number of quadrilateral panels. Based on Green’s theorem, an analytical expression for Froude–Krylov (F-K) forces evaluation on the quadrilateral panels is derived without accuracy loss. Within the linear potential theory, the transient free surface Green function (TFSGF) is applied to solve the boundary value problem. To improve the efficiency and numerical stability of TFSGF evaluation, a precise integration method with variable parameters setting for extended identity matrix is developed to compute the TFSGF in the computation domain. Then, radiation and diffraction forces can be evaluated by means of the impulse response function method. The Wigley Ⅰ hull form is taken as a study case, and the computed hydrodynamic coefficients, wave exciting forces, and motions by the present method are compared with previous literature experimental data and prior published results. It manifests that the three-dimensional time-domain panel method proposed in this paper has good accuracy.

中文翻译：

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三维时域面板法对船舶前进速度进行流体力学分析和运动

为了解决船舶的水动力问题和运动，提出了一种新的三维（3D）时域面板方法。对于在规则波浪中具有恒定前进速度的前进船，可以将船体离散化并加工成许多四边形面板。根据格林定理，得出了Froude-Krylov（FK）力评估四边形面板上的解析表达式，而没有精度损失。在线性势能理论中，瞬态自由表面格林函数（TFSGF）用于解决边值问题。为了提高TFSGF评估的效率和数值稳定性，开发了一种扩展参数矩阵设置可变参数设置的精确积分方法，以在计算域中计算TFSGF。然后，辐射和衍射力可以通过脉冲响应函数法进行评估。以WigleyⅠ型船体为研究案例，将本方法计算得到的水动力系数，激波力和运动与以前的文献实验数据和以前发表的结果进行比较。这表明本文提出的三维时域面板方法具有很好的准确性。