| 深水时域格林函数的实用数值计算 |
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| 引用本文： | 申亮,朱仁传,缪国平,刘应中.深水时域格林函数的实用数值计算[J].水动力学研究与进展(A辑),2007,22(3):380-386. |
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| 作者姓名： | 申亮 朱仁传 缪国平 刘应中 |
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| 作者单位： | 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,上海,200030 |
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| 基金项目： | 国家自然科学基金;国家高技术研究发展计划(863计划);教育部高等学校优秀青年教师教学科研奖励计划 |
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| 摘 要： | 如何精确而又快速地计算时域格林函数及其导数是求解船舶水动力问题的关键。论文基于Bessel函数的性质推导了深水格林函数及其导数所满足的常微分方程，提出了结合求解常微分方程的节点制表、节点间插值的快速计算格林函数的方法。数值计算表明该计算方法克服前人节点制表节点间插值计算方法的缺点，提高了格林函数的计算效率和数值精度。
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| 关 键 词： | 时域格林函数 级数展开 渐近表达 常微分方程 插值 |
| 文章编号： | 1000-4874（2007）03-0380-07 |
| 修稿时间： | 2005-12-262007-04-16 |
A practical numerical method for deep water time-domain Green function |
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| SHEN Liang,ZHU Ren-chuan,MIAO Guo-ping,LIU Ying-zhong.A practical numerical method for deep water time-domain Green function[J].Journal of Hydrodynamics,2007,22(3):380-386. |
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| Authors: | SHEN Liang ZHU Ren-chuan MIAO Guo-ping LIU Ying-zhong |
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| Institution: | School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University,State key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200030, China |
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| Abstract: | How to calculate time-domain Green function and its gradients efficiently is the key problem to analyze ship hydrodynamics in time domain.Basing on the Bessel function,an Ordinary Differential Equation(ODE) was derived for time-domain Green function and its gradients and is presented in this paper.A new efficient calculation method by taking the advantage of solving ODE is proposed,which can improve the precision of the time-domain Green function,and it is proved by the numerical calculation. |
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| Keywords: | time domain Green function series expansion asymptotic expression ODE interpolation |
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