An ordinary differential equation for the Green function of time-domain free-surface hydrodynamics

被引：68

作者：

Clement, AH ^{[1
]}

机构：

[1] ECN, CNRS, UMR 6598, Div Hydrodynam Navale,Lab Mecan Fluides, Nantes, France

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 1998年 / 33卷 / 02期

关键词：

hydrodynamics; free surface; time domain; water waves; Green function; differential equation;

D O I：

10.1023/A:1004376504969

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper a general fourth-order ordinary differential equation is derived for a class of functions including the time-domain Green function of linearized free-surface hydrodynamics and all its spatial derivatives. Among all the applications following from this new result, the acceleration of numerical computations in BEM solutions of time-domain hydrodynamics was the initial motivation of this work. Two new alternative methods for the computation of convolution integrals based on the new ODEs are suggested and illustrated by a numerical example.

引用

页码：201 / 217

页数：17