三维有限元六面体网格几何自适应再生成方法  

Geometric adaptive remeshing algorithm of hexahedral mesh for 3D FEM

作　　者：王忠雷[1,2] 赵国群[1] 黄丽丽[1] 马新武[1] 

机构地区：[1]山东大学模具工程技术研究中心,济南250061 [2]山东建筑大学机电工程学院,济南250101

出　　处：《计算力学学报》2011年第1期72-77,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(50875155)资助项目

摘　　要：基于几何自适应的六面体网再生成方法,提出了一种以栅格法为基本方法,对有限元网格再划分过程中的网格再划分标准、几何形状的获取以及新旧网格之间物理量的传递等关键问题进行了研究。重点介绍了基于几何自适应的六面体网格再生成算法,首先对旧网格实体模型进行识别,根据实体模型几何特征建立加密源点信息场;然后采用栅格法生成核心网格并对核心网格与模型边界进行拟合;最后采用节点位置平滑和拓扑关系优化对网格进行优化,生成质量较好的网格。网格再划分实例表明,该方法实用性强及效果良好。Based on geometrical adaptivity,a remeshing method of hexahedral element mesh with grid-based approach is presented.Several key technologies about hexahedral element remeshing for FEM are studied,such as the criterion of remeshing,the getting of geometrical shape of old mesh model and the transformation of state variables from the old mesh into the new mesh.The emphasis of this paper is focused on the remeshing algorithms of hexahedral element mesh based on geometric adaptive.First,the geometrical features of the old mesh model are extracted and the refinement information fields of the source points are constructed based on the geometric features.Secondly,the core mesh is constructed with grid-based approach then the boundary mesh is constructed by linking the core mesh with the surface of the old mesh model.Finally,mesh smoothing and topology optimization are employed to improve the quality of the resulting mesh.The effectiveness and robustness of the algorithm are tested through applications.

关 键 词：有限元方法 六面体网格 自适应生成 栅格法网格再生成 

分 类 号：O242.1[理学—计算数学]