求解水波绕射问题的一个有效的无限单元  

AN EFFICIENT INFINITE ELEMENT FOR MODELLING WATER WAVE DIFFRACTION PROBLEMS

作　　者：纪峥[1] 李宝元[1] 樊军[1] 

机构地区：[1]大连理工大学

出　　处：《海洋工程》1989年第3期24-36,共13页The Ocean Engineering

摘　　要：本文分析了远场绕射势的性质,提出了一个能反映远场绕射势的真实形式;并计算方便的无限元r方向的插值函数,它包括汉克尔函数渐近展开式的前二项。用这个无限元与内域有限元方法相结合,得到了非常好的精度,对垂直圆柱体来说,它与解析解相比,其相对误差只有10^(-4),对其它典型的例题也给出了很好的结果。Analying the character of the far field diffraction potential an efficient infinite element for modelling the far field potential of the linear water wave diffraction problems is presented. The shape function comprise the first two terms of the asymptotic expansions of ankel functions. High accuracy can be obtained by use of this infinite element and finite element is inner domain. Numerical test on the diffraction by a surface-piercing cylinder gives relative error of (10^(-4)).Other typical three-dimensional examples also show that satifactory results can be obtained by use of this infinite element.

关 键 词：无限元法 汉克尔函数 解析解 渐近展开式 有限元方法 插值函数 单元式 级数形式 远场 系数定义 

分 类 号：P75[天文地球—海洋科学]