摘要
边界单元法以其数据准备简单和计算精度高的特点越来越受到人们的重视.本文阐述了空间边界单元法3～8可变节点单元的原理和程序实施方法,并编制了相应的计算程序.3～8变节点单元是对4节点四边形单元进行修正或退化得到的,文中讨论了变节点单元奇异积分的处理方法,对于4～8节点四边形单元的奇异积分利用三角形子单元法采取了统一的处理方案;对于3节点三角形单元的奇异积分则采用直接引进退化变换的方法进行处理.最后通过若干简单算例对各种单元的精度和效率作了分析比较.
Boundary Element Method (BEM) has attracted more and more attention in engineering application, because of its simplicity of pre-post data processing and high accuracy. In this paper the principle of variable node element in the three dimensional boundary element method, and its programming method are given. 3～8 variable node element is obtained by modifying 4 node quadrangular eiement. For singular integral, Sub-Element Method is adopted for 4～8 variable elements, and direct degenerating transform method is used for 3 node triangular element. Finally some examples are given in order to analysis and compare the efficiency of various elements.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1991年第5期42-48,共7页
Journal of Hohai University(Natural Sciences)
关键词
边界元法
变节点
奇异积分
Boundary Element Method(BEM)
singular integral
3～8 variable node element
