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全四边形有限元网格的拓扑优化策略
Topological Improvement for Quadrilateral Finite Element Meshes
【摘要】 基于有限元网格的局部拓扑结构,给出一些非结构化全四边形有限元网格的拓扑优化策略,这些策略被组织成“型-操作”的形式.型是指一类满足一定约束条件的局部区域网格,而操作则是指与特定型相对应的拓扑变换,它能优化局部网格中节点的度值,从而优化局部网格质量.这些策略可分成针对网格内部单元和针对网格边界单元2类.实验结果表明,这些策略能较好地改善四边形网格的质量.
【Abstract】 Based on the local topological structures of finite element meshes,this paper presents several procedures for improving the topology of unstructured quadrilateral meshes.These procedures are established in the form of "case-operations".A case is a kind of local meshed region,which satisfies some constrained conditions,and its topology can be improved by means of topological transformation.These procedures can be classified into two types: one for interior elements and the other for elements connected to the boundary.Several sample meshes are presented to illustrate the effectiveness of the approach.
- 【文献出处】 计算机辅助设计与图形学学报 ,Journal of Computer-Aided Design & Computer Graphics , 编辑部邮箱 ,2007年01期
- 【分类号】O241
- 【被引频次】31
- 【下载频次】498