二维时域格林函数的数值计算

Numerical Evalution of Two-dimensional Time-domain Green Function

本文研究了船舶水动力学问题中二维时域格林函数及其偏导数的算法，并将其表达为与两个基本函数有关的形式，提出了一种快速求取这些函数值的造表插值方法。对于线元上常数源强分布数值模型，发现格林函数偏导数沿线元的积分也可表达为关于上述两个基本函数的解析形式。

The memory part of the two dimensional time-domain Green function and its derivatives are expressed by two basic functions, which can be evaluated using a tabulation-niterpolation procedure. The integrals of its derivatives on line-segment are also expressed by these two functions, which is efficient and accurate for solving source integral equations.