中文摘要：

采用直接数值计算方法计算了势流问题高阶边界元方法中的自由项系数和柯西主值积分，建立了波浪与结构物作用的一种高阶边界元方法．通过算例研究了物体表面上固角系数的计算精度和不同网格剖分、不同阶高斯积分点对柯西主值积分的影响．对截断圆柱上的波浪作用力与解析解做了对比，发现本方法具有很高的计算精度，随网格的加密迅速收敛于解析解．

英文摘要：

A direct method is implemented for computing the free-term coefficient and the Cauchy principal value integral in the higher-order boundary element method for potential flow. On the basis of the method a numerical model for wave diffraction and radiation from three-dimensional bodies is developed. Numerical experiments are carried out to examine the computation accuracy and convergence speed of the method for the free-term coefficient and Cauchy principal value integration. The numerical experiment shows that the computation result of the free-term coefficient is very accurate even for bodies with edges and corners, and the convergence speed is high for the Cauchy principle value integration from different meshes. Comparison is made with analytic solutions for wave forces on a truncated cylinder. It shows that the wave forces from the present model converge quickly to the analytic solutions.