【摘要】 本文将简单 Green 函数法推广到有限水深二维辐射问题的二阶速度势和水动力计算。在求得一阶势以后,可以写出二阶势在外部域中的解析形式,从而准确给出二阶势的辐射面条件。二阶势在内部域其它周界上的边界条件则由一阶势的数值微分求得。象求解一阶势一样,仍用简单函数 lnr 作为 Green 函数,对内部域利用 Green 公式求解二阶势。本文给出半圆在深水和浅水两种不同水域表面振荡时的二阶势和二阶力计算结果。更多还原

【Abstract】 This paper extends the simple Green’s function technique to calculatesecond-order potentials and forces for two-dimensional rediation problemsat finite water depth.Based on first-order solution,the second-order potential in outer region can be described analytically,which gives accurate condition for the radiation boundary.The conditions on other boundaries ofinner region are calculated by numerical differentiations of the first-orderpotential.Similar to first-order problem the second-order potential isobtained by use of Green’s theorem for inner region taking simplefunction lnr to be Green’s function.The computer program developed has produced results for a semi-circle oscillating on the free surface of deep and shallow water domains.更多还原