船舶有航速时三维时域格林函数计算方法研究  

Method of three-dimensional time-domain Green function for ships at forward speed

作　　者：鲁江[1] 张楠[1] 张新曙[2] 顾民[1] LU Jiang;ZHANG Nan;ZHANG Xin-shu;GU Min(China Ship Scientific Research Center,Wuxi 214082,China;State Key Laboratory of Ocean Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]中国船舶科学研究中心,江苏无锡214082 [2]上海交通大学海洋工程国家重点实验室,上海200240

出　　处：《船舶力学》2024年第1期20-35,共16页Journal of Ship Mechanics

基　　金：工信部高技术船舶项目(2017(614))。

摘　　要：船舶工业CAE软件势流求解器的开发对势流计算方法的可靠性提出要求,本文针对船舶有航速时深水三维时域格林函数计算方法开展研究。首先引入三维时域自由面格林函数,其瞬时项的求解采用Hess&Smith方法,自由面记忆项的求解采用美国密歇根大学Beck团队的方法。其次,分区域推导出三维时域自由面格林函数记忆项及其导数的编程所用的数学展开表达式。然后,采用间接法模型求解分布源强和速度势,并采用压力直接积分法求出时域辐射力。最后,针对Wigley I船型开展了辐射力计算,并与公开的试验及计算结果进行对比,验证本文方法的可靠性。Developing a reliable potential flow solver is necessary for the ship CAE software.The method on the three-dimensional time-domain Green function of ships with forward speed in infinite depth was studied.Firstly,a three-dimensional transient free-surface Green function was introduced,and its Rankine part was calculated by Hess&Smith’s method,and its free-surface memory part was calculated by the method of Beck team from the University of Michigan,US.Secondly,the memory part of the Green function and its de-rivatives were obtained in the mathematical expressions for making the program in five regions.Thirdly,the source method was used to calculate the source and the radiation potential,and then the radiation force was obtained by integrating the pressure around the floating body.Finally,the radiation force of the Wigley I ship was calculated,and compared with the published experimental and numerical results.The reliability of the method and the code in this paper is confirmed.

关 键 词：三维时域格林函数 辐射力 船舶CAE自主软件 

分 类 号：TV131.2[水利工程—水力学及河流动力学]