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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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first_indexed 2016-06-14T18:25:12Z
last_indexed 2018-02-09T05:13:27Z
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spelling 2017-01-11T10:30:31.8270769 v2 28878 2016-06-14 Automatic sizing functions for unstructured surface mesh generation 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2016-06-14 CIVL 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. Journal Article International Journal for Numerical Methods in Engineering 109 4 577 608 0029-5981 27 1 2017 2017-01-27 10.1002/nme.5298 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2017-01-11T10:30:31.8270769 2016-06-14T13:17:43.3618544 College of Engineering Engineering Jianjun Chen 1 Zhoufang Xiao 2 Yao Zheng 3 Jianjing Zheng 4 Chenfeng Li 0000-0003-0441-211X 5 Kewei Liang 6 0028878-02082016140811.pdf chen2016.pdf 2016-08-02T14:08:11.4100000 Output 1974872 application/pdf Accepted Manuscript true 2017-07-27T00:00:00.0000000 false
title Automatic sizing functions for unstructured surface mesh generation
spellingShingle Automatic sizing functions for unstructured surface mesh generation
Chenfeng Li
title_short Automatic sizing functions for unstructured surface mesh generation
title_full Automatic sizing functions for unstructured surface mesh generation
title_fullStr Automatic sizing functions for unstructured surface mesh generation
title_full_unstemmed Automatic sizing functions for unstructured surface mesh generation
title_sort Automatic sizing functions for unstructured surface mesh generation
author_id_str_mv 82fe170d5ae2c840e538a36209e5a3ac
author_id_fullname_str_mv 82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
author Chenfeng Li
author2 Jianjun Chen
Zhoufang Xiao
Yao Zheng
Jianjing Zheng
Chenfeng Li
Kewei Liang
format Journal article
container_title International Journal for Numerical Methods in Engineering
container_volume 109
container_issue 4
container_start_page 577
publishDate 2017
institution Swansea University
issn 0029-5981
doi_str_mv 10.1002/nme.5298
college_str College of Engineering
hierarchytype
hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 1
active_str 0
description 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.
published_date 2017-01-27T03:40:29Z
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score 10.898123