二维几何特征自适应有限元网格生成(一)——几何特征识别

2D Finite Element Adaptive Mesh Generation Based on Geometric Features——Part Ⅰ Automatic Recognition of Geometric Features

发现二维形体边界均匀离散点集Delaunay三角剖分所具有的 4个性质 根据这 4个性质所描述的Delaunay三角剖分和形体几何特征之间的关系提出几何特征自动识别方法 ,并建立网格自适应机制 。

Four properties of circum circles for Delaunay triangulation of point set generated from uniformly partitioning the boundary of 2D domain are presented These four properties predict the relationship between Delaunay triangulation and geometrical features of 2D domain Based on these properties, the method to automatically recognize geometrical features and adaptively generate meshes is built The method is applied successfully to 2D finite element adaptive mesh generation, taking into consideration geometrical features along with some mechanical features