【作者】 黄庆立； 朱仁传； 缪国平； 范菊；

【Author】 HUANG Qing-li;ZHU Ren-chuan;MIAO Guo-ping;FAN Ju;State Key Laboratory of Ocean Engineering,School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University;

【机构】 上海交通大学船舶海洋与建筑工程学院海洋工程国家重点实验室；

【摘要】 开尔文源格林函数可表达成Rankine源及其关于静水面的镜像源,近场扰动项和远场波动项,求解的难点在于近场扰动项和远场波动项这两部分。本文中近场扰动项利用Noblesse的解析表达来计算,远场波动项则根据被积函数的形状特性,将积分上下限进行截断直接利用自适应梯形法进行求解。当点源格林函数算出后,要在面元上积分,在面元上布置高斯点算出的积分并不能准确反映其在面元上的积分,本文考虑在面元上布置水平线段源,而非布置点源,这样一种方法可以提高计算的效率、精度和稳定性。更多还原

【Abstract】 In this paper the computation of Kelvin green function is discussed.The local component is expressed as the form of polynomials which avoids the calculation of complex exponential integral.The infinite interval of the wave component is truncated to finite interval according to the attenuation of the integrand.Adaptive trapezoidal method is adopted to gain certain accuracy results due to the vibration of the integrand.A practical method of source distribution on a horizontal line is used to accelerate the computation of source green function on a panel.It is demonstrated that with the pretreatment of the integrand of the wave component,the panel divided into a series of horizontal line is practicable.更多还原