时域格林函数的计算  

The Evaluation of Time-domain Green Function

作　　者：戴愚志 尹晓辉[2,3] DAI Yu-zhi;YIN Xiao-hui(School of Naval Architecture and Ocean Engineering,Harbin Institute of Technology at Weihai,Weihai 264209,China;Marine Design&Research Institute of China,Shanghai 200011,China;Science and Technology on Water Jet Propulsion Key Laboratory,Shanghai 200011,China)

机构地区：[1]哈尔滨工业大学(威海)船舶与海洋工程学院,山东威海264209 [2]中国船舶及海洋工程设计研究院,上海200011 [3]喷水推进技术重点实验室,上海200011

出　　处：《船舶力学》2020年第6期720-726,共7页Journal of Ship Mechanics

摘　　要：时域格林函数及其导数的准确计算对时域耐波性分析至关重要。本文基于Dawson积分和泰勒展开,提出了一种新的有效计算时域格林函数及其导数的方法。使用这种新方法计算了作用于一个进行大幅运动的潜没圆球上的垂荡力和一个以定速前进的潜没圆球的纵荡力,计算解和吴国雄给出的解析结果符合良好,说明本方法是准确的和有实用价值的。Accurate evaluation of the time-domain Green function and its derivatives is important to the use of time-domain analysis in the seakeeping computations.A new efficient method of evaluating the time-domain Green function and its derivatives is proposed through the utilization of Dawson inte⁃gral and Taylor expansion.The hydrodynamic forces on a submerged sphere undergoing large-ampli⁃tude motions and the submerged sphere with a constant forward speed are evaluated with the present method.The excellent level of agreement with known analytical solutions shows that the new method is accurate and practical.

关 键 词：时域 格林函数 Dawson积分 泰勒展开 

分 类 号：O353.2[理学—流体力学]