Bessho型移动脉动源格林函数快速数值积分方法

本文发展了复平面曲线路径上的分段局部自适应数值积分方法，对最速下降路径方法的实施进行了补充和完善，建立了Bessho型移动脉动源格林函数的快速数值积分方法。经大量的数值计算和对比验证表明，本文发展的方法和计算程序可靠，适用于各种航速、脉动频率和任意源点、场点位置条件下的移动脉动源格林函数及其偏微分的数值计算，能够适应常规船体在波浪中航行时的三线水动力学和水弹性力学分析的需要。

A FAST EVALUATION METHOD FOR BESSHO FORM TRANSLATING-PULSATING SOURCE GREEN'S FUNCTION

By employing the steepest descent path method, together with a new self-compatibleintegration method, a fast algorithm for calculating the Bessho form translating-pulsatingsource Green's function is introduced. The numerical method is validated by the compari-son with other existing results, and is shown to be efficient and reliable in the calculationof velocity potentiials for the three-dimensional seakeeping and hydroelastic analyses ofships traveling in waves with wide range of forward speed.