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Automatic sizing functions for unstructured surface mesh generation

Jianjun Chen, Zhoufang Xiao, Yao Zheng, Jianjing Zheng, Chenfeng Li Orcid Logo, Kewei Liang

International Journal for Numerical Methods in Engineering, Volume: 109, Issue: 4, Pages: 577 - 608

Swansea University Author: Chenfeng Li Orcid Logo

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DOI (Published version): 10.1002/nme.5298

Abstract

Accurate sizing functions are crucial for efficient generation of high-quality meshes, but to define the sizing function is often the bottleneck in complicated mesh generation tasks because of the tedious user interaction involved. We present a novel algorithm to automatically create high-quality si...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa28878
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Abstract: Accurate sizing functions are crucial for efficient generation of high-quality meshes, but to define the sizing function is often the bottleneck in complicated mesh generation tasks because of the tedious user interaction involved. We present a novel algorithm to automatically create high-quality sizing functions for surface mesh generation. First, the tessellation of a Computer Aided Design (CAD) model is taken as the 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 that corresponds to a mesh satisfying necessary gradient constraint conditions and containing a significantly reduced element number. Finally, this sizing function is applied in an advancing front mesher. With the aid of a walk-through algorithm, an efficient sizing-value query scheme is developed. Meshing experiments of some very complicated geometry models are presented to demonstrate that the proposed sizing-function approach enables accurate and fully automatic surface mesh generation.
College: College of Engineering
Issue: 4
Start Page: 577
End Page: 608