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Automatic Sizing Functions for 3D Unstructured Mesh Generation

Chen, Jianjun, Zhiwei Liu, Yao Zheng, Peng Zheng, Jianjing Zheng, Zhoufang Xiao, Chuan Yu

Proceedings, 26th International Meshing Roundtable, Elsevier, Science Direct, September 18-21 2017

INTERNATIONAL
MESHING
ROUNTABLE

26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

Jianjun Chen, Zhejiang University, CN, chenjj@zju.edu.cn
Zhiwei Liu, Zhejiang University, CN,
Yao Zheng, Zhejiang University, CN, yao.zheng@zju.edu.cn
Peng Zheng, CAEP Software Center, CN,
Jianjing Zheng, Zhejiang University, CN, zhengjianjing@zju.edu.cn
Zhoufang Xiao, Zhejiang University, CN, xiaozf@zju.edu.cn
Chuan Yu, Wenzhou University, CN,

Abstract
We present a novel algorithm to automatically create high-quality sizing functions for unstructured volume mesh generation. Firstly, appropriate techniques are proposed to create a tetrahedral background mesh, in which an initial sizing function is defined by considering geometrical factors and user-specified parameters. Then, a convex nonlinear programming problem is formulated and solved efficiently to obtain a smoothed sizing function. This function corresponds to a mesh satisfying necessary gradient constraint conditions and containing reduced number of elements. Finally, the smoothed sizing function is used by an advancing front surface mesher and a Delaunay tetrahedralization based volume mesher. With the aid of a walk-through algorithm, efficient sizing-value query schemes are developed. Various meshing experiments are presented to demonstrate that the proposed approach enables an accurate and fully automatic unstructured mesh generation pipeline.

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