移动脉动源格林函数在线段上积分的数值处理及其验证  

Numerical Treatment and Validation of Integrating Green's Function of Translating-pulsating Source on Line Segments

作　　者：黄山 陈曦 范永鹏 钮俊涛 HUANG Shan;CHEN Xi;FAN Yongpeng;NIU Juntao(Marine Design&Research Institute of China,Shanghai 20001l,China)

机构地区：[1]中国船舶及海洋工程设计研究院,上海200011

出　　处：《中国造船》2024年第5期22-36,共15页Shipbuilding of China

摘　　要：在用边界元法计算有航速船舶在规则波中的运动响应时,精确计算格林函数在离散面元上的积分非常重要。论文对移动脉动源格林函数在线段上积分的解析表达式进行了推导,通过变换积分顺序,将移动脉动源格林函数在线段上的积分转化为关于浪向角θ的单重积分。对移动脉动源格林函数在线段和面元上的积分进行了计算,并与其他数值结果进行了比较,数值结果证实了该方法的正确和高效。When the boundary element method is used to calculate the motion response of ships to waves,accurate calculation of the integration involving Green's function of translating-pulsating sources on a discrete surface element is important.An analytical expression is derived to integrate Green's function over a line segment.The double integral is transformed into a single integral by exchanging the integration order.Integral calculation of Green's function over line segments and panels is performed and compared with other numerical results,proving its correctness and computing efficiency.

关 键 词：移动脉动源 格林函数 积分解析计算 

分 类 号：U661.32[交通运输工程—船舶及航道工程]