三维脉动源格林函数计算方法研究  

Research on the calculation method of 3D pulsating source green's function

作　　者：黄山 陈曦 范永鹏 钮俊涛 HUANG Shan;CHEN Xi;FAN Yongpeng;NIU Juntao(Marine Design and Research Institute of China,Shanghai 200011,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：《舰船科学技术》2025年第8期13-20,共8页Ship Science and Technology

摘　　要：格林函数数值计算是势流方法求解船舶在波浪中运动响应的核心。本文对三维脉动源格林函数的数值计算进行研究。对格林函数全域计算公式进行改进,将该格林函数的数值误差作为剩余函数,并选用双重Chebyshev多项式进行逼近,提高了格林函数全域计算公式的精度;对浮体波浪中运动响应及二阶平均漂移力进行预报,并与试验结果及其他数值结果进行比较,验证了本文方法在水动力计算中的可靠性。When the potential flow method is used to calculate the motion response of the ship in the wave,the numerical calculation of the Green's function is the most critical part.In present study,the numerical calculation of the 3D pulsating source Green's function is studied.To improve the global approximation to the Green's function,the numerical error of the global approximation to the Green's function is chosen as the residual function,and the double Chebyshev polynomials are used to approximate it.Finally,present method is used to calculate the motion response and the second order average drift force of ships in floating waves,and the numerical results are compared with model test results and other numerical results,and the corresponding numerical results agree well with experimental data and other results.Thus,the reliability and applicability of the present method is verified.

关 键 词：三维脉动源格林函数 耐波性 运动响应 

分 类 号：U661.32[交通运输工程—船舶及航道工程]