New Derivation of Ordinary Differential Equations for Transient Free-Surface Green Functions  

作　　者：段文洋 戴遗山 

出　　处：《China Ocean Engineering》2001年第4期499-508,共9页中国海洋工程（英文版）

基　　金：The paper was financially supported by the National Natural Science Foundation of China (No. 19802008);Excellent Doctoral Dissertation Grant of the Ministry of Education of China (No. 199927)

摘　　要：Based on the Laplace transform, a direct derivation of the ordinary differential equations for the three-dimensional transient free-surface Green function in marine hydrodynamics is presented. The results for the 3D Green function and all its spatial derivatives are a set of fourth-order ordinary differential equations, which are identical with that of Clement (1998). All of these results may be used to accelerate numerical computation for the time-domain boundary element method in marine hydrodynamics.Based on the Laplace transform, a direct derivation of the ordinary differential equations for the three-dimensional transient free-surface Green function in marine hydrodynamics is presented. The results for the 3D Green function and all its spatial derivatives are a set of fourth-order ordinary differential equations, which are identical with that of Clement (1998). All of these results may be used to accelerate numerical computation for the time-domain boundary element method in marine hydrodynamics.

关 键 词：marine hydrodynamics TIME-DOMAIN Green function ordinary differential equation Laplace transform 

分 类 号：O175[理学—数学]