基于实体局部表面曲率和厚度的变密度三维六面体网格自动生成算法

3D AUTOMATED GENERATION OF DENSITY-CHANGED ALL-HEXAHEDRAL ELEMENT MESHES BASED ON LOCAL SURFACE CURVATURE AND THICKNESS OF SOLID OBJECT

提出一种基于传统栅格法的变密度三维全六面体网格自动生成算法,建立基于实体局部表面曲率的加密源点信息场的生成技术和基于几何实体局部厚度特征的网格加密技术,并给出自动生成全六面体协调网格的加密原则与加密模板。实现了在厚度较小的特征区域和曲率较大区域局部协调加密及平缓变密度的网格自动剖分,可获得局部协调加密及平缓变密度的全六面体网格。实例表明,所提出的算法实用性强,效果良好。

An algorithm for the automated generation of density-changed three-dimensional all-hexahedral element meshes is developed based on the traditional grid-based method. Two kinds of technology, which are the construction of source points metric for refinement based on the local surface curvature and the refinement based, on the local thickness of the model domain, are proposed. The rules and the templates of the meshes refinement for the automated generation of all-hexahedral element meshes are also presented. Conformal refinement of the local meshes is realized at the areas where small thickness and large curvature exist and the density of hexahedral meshes changed gradually, so all-hexahedral element meshes that are conformal refinement and of gradually changed density can be automatically generated. The effectiveness of the algorithm and quality of the mesh generation are demonstrated by using several complex examples.