Analytical evaluation of the BEM singular integrals for 3D Laplace and Stokes flow equations using coordinate transformation

被引：5
|
作者：
Ren, Qinlong [1 ]
Chan, Cho Lik [1 ]
机构：
[1] Univ Arizona, Dept Aerosp & Mech Engn, Tucson, AZ 85721 USA
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2015年 / 53卷
关键词：
Boundary element method; Coordinate transformation; Analytical integration; Laplace's equation; Stokes flow; FORMULATIONS;
D O I：
10.1016/j.enganabound.2014.11.018
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
It is well-known that singular integrals arise when the source point and field point are in the same element in boundary element method. To improve the accuracy, analytical evaluation of the singular integral should be carried out whenever possible. However, the analytical formulas for the BEM singular integrals are always quite complicated in 3D problems. In this paper, by applying a coordinate transformation, the analytical formulas of the singular integrals for 3D Laplace's and Stokes flow equations are obtained for arbitrary triangular boundary elements with constant elements approximation. In addition, numerical examples will be presented to demonstrate the improvement on accuracy. Published by Elsevier Ltd.
引用
收藏
页码：1 / 8
页数：8
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