Journal
ENGINEERING COMPUTATIONS
Volume 40, Issue 3, Pages 718-733Publisher
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/EC-11-2022-0670
Keywords
Nearly singular integrals; Element subdivision; Binary tree
Ask authors/readers for more resources
This paper presents an adaptive binary-tree element subdivision method for evaluating nearly singular integrals in three-dimensional boundary element method. The proposed method allows for automatic and high-quality patch generation.
PurposeThe purpose of this paper is to present an adaptive binary-tree element subdivision method (BTSM) for the evaluation of nearly singular integrals in three-dimensional boundary element method, which can facilitate automatic and high-quality patch generation.Design/methodology/approachIn this method, the nearly singular element is split into two sub-elements. Each sub-element is then examined to determine if it is to be subdivided based on a specific subdivision criterion. The specific subdivision ensures that those sub-elements far from the source point are sparse. And then those sub-elements in close proximity to the source point are replaced by regular triangular elements.FindingsWith the proposed method, the sub-elements obtained are automatically refined as they approach the projection point, and they are good in shape and size for standard Gaussian quadrature. Thus, the proposed method can be used to evaluate nearly singular integrals accurately for cases of different element shapes and various locations of the source point.Originality/valueNumerical examples for surface elements with various relative locations of the source point are presented. The results demonstrate that the proposed method has much better accuracy and robustness than some other methods.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available