基于栅格法的多体六面体网格自动生成

摘要

Because of the complicated boundary geometric features of multi-solid models, the algorithm for grid-based hexahedral mesh generation had very weak stability and generated some poor boundary elements. Ac-cording to these problems, an algorithm for the automated generation of grid based all-hexahedral element meshes is developed. In the surface matching process, a surface matching algorithm combining the embedding technique is proposed, establishing the corresponding the boundary element relation between solid models and core mesh, and making the hexahedral mesh accurately describe the geometric features of multi-solid models. In the topological optimization process, an optimization technique eliminating the hexahedral elements with bad topological connection is proposed. The effectiveness and robustness of the algorithm in this paper are tested by means of some solid model examples.%基于栅格法的六面体网格生成算法由于多体模型复杂的边界几何特征，导致稳定性较差和产生一些质量较差的边界六面体单元。针对这一问题，提出一套以栅格法为基础的全六面体网格自动生成算法。在边界拟合环节，利用 Embedding 技术提出一种边界拟合算法，建立了实体模型边界元素和核心网格外围边界元素的对应关系，使得六面体网格很好地描述实体模型的几何特征；在拓扑优化环节，利用 Pillowing 技术给出一种消除网格中拓扑连接关系较差的六面体单元的方法。若干实体模型算例结果表明，该算法实用性强，效果良好。