Automatic 3D Mesh Generation for a Domain with Multiple Materials
Zhang, Yongjie, Thomas J.R. Hughes, and Chandrajit L. Bajaj
Proceedings, 16th International Meshing Roundtable, Springer-Verlag, pp.367-404, October 14-17 2007
16th International Meshing Roundtable
Seattle, Washington, U.S.A.
October 14-17, 2007
Institute for Computational Engineering and Sciences, The University of Texas at Austin,
Department of Computer Sciences, The University of Texas at Austin, United States.
This paper describes an approach to construct unstructured tetrahedral and hexahedral
meshes for a domain with multiple materials. In earlier works, we developed an octreebased
isocontouring method to construct unstructured 3D meshes for a single-material domain.
Based on this methodology, we introduce the notion of material change edge and use it
to identify the interface between two or several materials. We then mesh each material region
with conforming boundaries. Two kinds of surfaces, the boundary surface and the interface
between two different material regions, are distinguished and meshed. Both material change
edges and interior edges are analyzed to construct tetrahedral meshes, and interior grid points
are analyzed for hexahedral mesh construction. Finally the edge-contraction and smoothing
method is 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 is defined automatically as the boundary of each material region. Several application
results in different research fields are shown.
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