Numerical Treatments and Applications of the 3D Transient Green Function  

作　　者：朱仁传 朱海荣 申亮 缪国平 刘应中 

机构地区：[1]The State Key Laboratory of Ocean Engineering,School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University [2]Department of Naval Architecture and Marine Engineering,University of Strathclyde, Glasgow,Scotland,UK

出　　处：《China Ocean Engineering》2007年第4期637-646,共10页中国海洋工程（英文版）

基　　金：This work was financially supported by Key Program of the National Natural Science Foundation of China(No.50639020);the National High Technology Research and Development Program of China(863Program)(No.2006AA09Z332)

摘　　要：How to evaluate time-domain Green function and its gradients efficiently is the key problem to analyze ship hydrodynamics in time domain. Based on the Bessel function, an Ordinary Differential Equation （ODE） was derived for time-domain Green function and its gradients in this paper. A new efficient calculation method based on solving ODE is proposed. It has been demonstrated by the numerical calculation that this method can improve the precision of the time-domain Green function. Numeiical research indicates that it is efficient to solve the hydrodynamic problems.How to evaluate time-domain Green function and its gradients efficiently is the key problem to analyze ship hydrodynamics in time domain. Based on the Bessel function, an Ordinary Differential Equation （ODE） was derived for time-domain Green function and its gradients in this paper. A new efficient calculation method based on solving ODE is proposed. It has been demonstrated by the numerical calculation that this method can improve the precision of the time-domain Green function. Numeiical research indicates that it is efficient to solve the hydrodynamic problems.

关 键 词：transient Green function series expansion asymptotic expression ordinary differential equation hydrodynamis 

分 类 号：O35[理学—流体力学]