时域格林函数的新实用数值计算方法  

A new and practical numerical calculation method for time-domain Green function

作　　者：张腾 任俊生[1] 李志富 白伟伟[1] 

机构地区：[1]大连海事大学航海学院,辽宁大连116026 [2]江苏科技大学船海学院,江苏镇江212003

出　　处：《大连海事大学学报》2018年第1期1-8,共8页Journal of Dalian Maritime University

基　　金：国家高技术研究发展计划(863计划)资助项目(2015AA016404);国家自然科学基金资助项目(51109020;51779029);交通部应用基础研究项目(2014329225370);海洋公益性行业科研专项经费项目(201505017-4)

摘　　要：针对求解无限水深时域格林函数时大、小区域划分界限不明确,数值精度无法保证的问题,在大、小时间区域交界处,采用精细时程积分法对满足时域格林函数的四阶常微分方程进行数值计算.完成对时域格林函数节点制表后,提出基于精细积分法求解常微分方程的节点间插值的计算时域格林函数新方法.数值计算结果表明,本文提出的方法可有效提高时域格林函数的数值计算精度,为计算船舶水动力奠定了可靠的基础.Aiming at the problems of unclear dividing line between short time interval region and long time interval region and the numerical accuracy, the precise time integration method was used to solve the fourth-order ordinary differential equations of time-domain Green function in the junction between long time interval region and short time interval region.Once the node tabulation for the time-domain Green function was obtained,a new method for computing the time domain Green＇s function based on the precise integration method was proposed to solve the interpolation between nodes in ordinary differential equations. Numerical calculation results show that the proposed method can effectively improve the numerical accuracy of time-domain Green function which lays a reliable foundation for calculating ship＇s hydrodynamics.

关 键 词：时域格林函数 级数展开 渐进表达 精细时程积分法 插值 

分 类 号：U661.3[交通运输工程—船舶及航道工程]