基于三维时域格林函数高阶面元法的船体运动计算

针对波浪中航行船体的运动问题,基于三维时域自由面格林函数并采用高阶面元离散,编程计算了浮体的运动响应.采用自由面格林函数,只需在船体湿表面布源,减少系数矩阵维度,避开自由面网格划分;同时高阶面元法(HOBEM)在计算速度势空间分布时能够提高精度.本文通过计算Wigley-Ⅲ型船在波浪中有航速前行时的运动,与实验进行对比,发现结果符合较好,证明这种方法的有效性.

High-order 3D Transient Green's Function Method and Applications

To solve the problem of ships moving in waves, the 3D Transient Green's function method was adopted. Combined with high-order boundary element method (HOBEM), the response amplitude operator (RAO) of ship movement was calculated. In the Transient Green's function method, sources and sinks were allocated on the wet surface of ship, so that the dimension of coefficient matrix was reduced and the work of mesh on free surface was avoided. The HOBEM also promoted the accuracy of the spatial distribution of velocity potential. Numerical simulations of Wigley-Ⅲ hull advancing in waves were applied, results showed that the calculation with HOBEM agreed well with the experiment, proving the validity of this method.