AN ORDINARY DIFFERENTIAL EQUATION FOR THE 2D TRANSIENT FREE-SURFACE GREEN FUNCTIONS  

作　　者：Duan Wen-yang College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaPrice W.G. School of Engineering Sciences, Ship Science, University of Southampton, UK 

出　　处：《Journal of Hydrodynamics》2002年第2期24-28,共5页水动力学研究与进展B辑（英文版）

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina (GrantNo :1980 2 0 0 8)andtheMinistryofEducationofChina .(GrantNo :19992 7)

摘　　要：Based on the Laplace transform an ordinary differential equation for the two-dimensional time-domain free-surface Green function in ship hydrodynamics is presented. The results for 2D Green function and its horizontal derivative are fifth-order ODEs and the vertical derivative satisfies a fourth-order ODE. All of these results may be used to accelerate the numerical computations for the time-domain BEM in marine hydrodynamics.Based on the Laplace transform an ordinary differential equation for the two-dimensional time-domain free-surface Green function in ship hydrodynamics is presented. The results for 2D Green function and its horizontal derivative are fifth-order ODEs and the vertical derivative satisfies a fourth-order ODE. All of these results may be used to accelerate the numerical computations for the time-domain BEM in marine hydrodynamics.

关 键 词：ship hydrodynamics time-domain Green function Laplace transform 

分 类 号：U661.1[交通运输工程—船舶及航道工程]