An Automatic 3D Mesh Generation Method for Domains with Multiple Materials.
An Automatic 3D Mesh Generation Method for Domains with Multiple Materials.
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DOI：
10.1016/j.cma.2009.06.007
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发表时间：
2010-01-01
影响因子：
7.2
通讯作者：
Bajaj CL
中科院分区：
文献类型：
--
作者：
Zhang Y;Hughes TJ;Bajaj CL
本文描述了一种自动且高效的方法，用于为由非均质材料组成的复合域构建非结构化四面体和六面体网格。这些材料区域的边界形成非流形曲面。在早期的论文中，我们开发了一种基于八叉树的等值面提取方法，用于为具有流形边界的单一材料（均质）域构建非结构化3D网格。在本文中，我们引入了材料变化边的概念，并使用它来识别两种或多种不同材料之间的界面。提供了一种计算由两种以上材料共享的单元的最小化点的新方法，该点在边界上形成一个非流形节点。然后，我们直接从体数据同时且自动地对所有材料区域进行网格划分，使其符合边界。对材料变化边和内部边都进行分析以构建四面体网格，并对内部网格点进行分析以构建合适的六面体网格。最后，使用边收缩和平滑方法来提高四面体网格的质量，并结合枕形法、几何流和优化技术来提高六面体网格的质量。枕形方案的收缩集被自动定义为每个材料区域的边界。还提供了我们的多材料网格生成方法的几个应用结果。
This paper describes an automatic and efficient approach to construct unstructured tetrahedral and hexahedral meshes for a composite domain made up of heterogeneous materials. The boundaries of these material regions form non-manifold surfaces. In earlier papers, we developed an octree-based isocontouring method to construct unstructured 3D meshes for a single-material (homogeneous) domain with manifold boundary. In this paper, we introduce the notion of a material change edge and use it to identify the interface between two or several different materials. A novel method to calculate the minimizer point for a cell shared by more than two materials is provided, which forms a non-manifold node on the boundary. We then mesh all the material regions simultaneously and automatically while conforming to their boundaries directly from volumetric data. Both material change edges and interior edges are analyzed to construct tetrahedral meshes, and interior grid points are analyzed for proper hexahedral mesh construction. Finally, edge-contraction and smoothing methods are used to improve the quality of tetrahedral meshes, and a combination of pillowing, geometric flow and optimization techniques is used for hexahedral mesh quality improvement. The shrink set of pillowing schemes is defined automatically as the boundary of each material region. Several application results of our multi-material mesh generation method are also provided.
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影响因子：
1.5
作者：
Dong, S;Kircher, S;Garland, M
通讯作者：
Garland, M
影响因子：
8.7
作者：
Schneiders, R
通讯作者：
Schneiders, R
影响因子：
6.2
作者：
Bajaj, CL;Xu, GL
通讯作者：
Xu, GL
影响因子：
6.2
作者：
Alliez, P;Cohen-Steiner, D;Desbrun, M
通讯作者：
Desbrun, M
DOI：
10.1142/s0218195900000152
发表时间：
2000-06-01
影响因子：
--
作者：
Teng, SH;Wong, CW
通讯作者：
Wong, CW