An accurate evaluation of three-dimensional (3D) Time-Domain Green Function (TDGF) in infinite water depth is essential for ship’s hydrodynamic analysis. Various numerical algorithms based on the TDGF properties are considered, including the ascending series expansion at small time parameter, the asymptotic expansion at large time parameter and the Taylor series expansion combines with ordinary differential equation for the time domain analysis. An efficient method (referred as “Present Method”) for a better accuracy evaluation of TDGF has been proposed. The numerical results generated from precise integration method and analytical solution of Shan et al. (2019) revealed that the “Present method” provides a better solution in the computational domain. The comparison of the heave hydrodynamic coefficients in solving the radiation problem of a hemisphere at zero speed between the “Present method” and the analytical solutions proposed by Hulme (1982) showed that the difference of result is small, less than 3%.

对无限水深中的三维（3D）时域格林函数（TDGF）进行准确评估对于船舶的流体动力学分析至关重要。考虑了基于TDGF特性的各种数值算法，包括小时间参数处的递增级数展开，大时间参数处的渐近展开型以及泰勒级数展开式与常微分方程相结合进行时域分析。已经提出了一种用于更好地评估TDGF的有效方法（称为“当前方法”）。Shan等人的精确积分方法和解析解产生的数值结果。（2019）揭示了“当前方法”在计算领域提供了更好的解决方案。