高质量点集的快速局部网格生成算法

高效及高质量的局部网格生成算法是基于节点有限元并行方法设计的关键。泡泡布点算法能够在复杂区域上不经过人工干预生成高质量的节点集，本文提出了基于该方法所生成的节点集的快速局部网格生成算法。该算法充分利用泡泡布点方法提供的节点集及节点邻接链表信息，避免了桶数据结构的建立以及节点的局部搜索过程，只需应用Delaunay三角剖分的外接圆准则从中心节点的邻接链表中去除极少数的非卫星点，可快速地生成局部网格，比现有的局部网格生成算法更为快捷。算例结果表明，该算法高效可靠，生成网格与Delaunay三角剖分网格一致。

A fast local mesh generation method about high-quality node set

Node-based local mesh generation method with high quality and efficiency is the key point of parallel algorithm of the node-based local finite element method.The nodes placement method with bubble simulation can develop a good-quality nodes set without manual intervention even if the domain is complex.Therefore,a high efficiency local mesh generation method based on this nodes placement method,called Bubble-type Local Mesh Generation (BLMG) method,is presented.BLMG method makes full use of the nodes set and adjacent chain which are provided by the nodes placement method.Avoiding the establishment of barrel data structure and the local searching of nodes,BLMG uses the circumscribed circle standard of Delaunay to eliminate the rare non-satellite nodes from the adjacent chain to develop a local mesh rapidly,which makes it of higher efficiency than the existing local mesh generation methods.Experimental results show that BLMG can generate local meshes which are consistent with the whole mesh generated by Delaunay triangulation and with high efficiency.