finite element mesh generation over intersecting curved surfaces by     tracing of neighbours

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	finite element mesh generation over intersecting curved surfaces by tracing of neighbours
	Lo SH ; Wang WX
刊名	FINITE ELEMENTS IN ANALYSIS AND DESIGN
	2005
卷号	41 期号:4 页码:351-370
关键词	triangular surface intersection neighbour tracing local meshing
ISSN号	0168-874X
学科主题	Mathematics, Applied; Mechanics
收录类别	SCI ; ACM ; SCIENCEDIRECT ; EI
语种	英语
公开日期	2011-07-28
附注	The use of discrete data to represent engineering structures as derivatives from intersecting components requires algorithms to perform Boolean operations between groups of triangulated surfaces. In the intersection process, an accurate and efficient method for the determination of intersection lines is a crucial step for large scale and complex surface intersections. Given the node numbers at the vertices of the triangles, the neighbour relationship is first established. A background grid is employed to limit the scope of searching for candidate triangles that may intersect. This will drastically reduce the time of geometrical check for intersections between triangles, making the surface intersection and mesh generation a quasi-linear process with respect to the number of elements involved. The intersection lines are determined by the robust algorithm based on tracing the neighbours of intersecting triangles. In the determination of intersection between two triangles, four fundamental cases are identified and treated systematically to enhance robustness and reliability. In this paper, the consistent treatment of mesh generation along intersection lines is emphasized. The procedure ensures that all mesh generation operations are carried out on the surface concerned without leaving the surface so that elements generated will always be on the surface. Five examples on a great variety of surface and mesh characteristics are given to illustrate the efficiency and robustness of the algorithm. (C) 2004 Elsevier B.V. All rights reserved.
内容类型	期刊论文
源URL	[http://124.16.136.157/handle/311060/12498]
专题	软件研究所_软件所图书馆_期刊论文
推荐引用方式 GB/T 7714	Lo SH,Wang WX. finite element mesh generation over intersecting curved surfaces by tracing of neighbours[J]. FINITE ELEMENTS IN ANALYSIS AND DESIGN,2005,41(4):351-370.
APA	Lo SH,&Wang WX.(2005).finite element mesh generation over intersecting curved surfaces by tracing of neighbours.FINITE ELEMENTS IN ANALYSIS AND DESIGN,41(4),351-370.
MLA	Lo SH,et al."finite element mesh generation over intersecting curved surfaces by tracing of neighbours".FINITE ELEMENTS IN ANALYSIS AND DESIGN 41.4(2005):351-370.