Automatic adaptive mesh generation using metric advancing front approach

A new mesh generation procedure is suggested for the generation of 2D adaptive finite element meshes with strong element gradation and stretching effects. Metric tensors are employed to define and control the element characteristics during the mesh generation process. By using the metric tensor s...

Full description

Bibliographic Details
Main Author: Lee, Chi King
Other Authors: School of Civil and Environmental Engineering
Format: Journal Article
Language:English
Published: 2014
Subjects:
Online Access:https://hdl.handle.net/10356/103384
http://hdl.handle.net/10220/19343
_version_ 1826124934501367808
author Lee, Chi King
author2 School of Civil and Environmental Engineering
author_facet School of Civil and Environmental Engineering
Lee, Chi King
author_sort Lee, Chi King
collection NTU
description A new mesh generation procedure is suggested for the generation of 2D adaptive finite element meshes with strong element gradation and stretching effects. Metric tensors are employed to define and control the element characteristics during the mesh generation process. By using the metric tensor specification and a new, robust and refined advancing front triangulation kernel, triangles with nearly unit edge length with respect to the normalized space are generated. Highly graded and stretched elements can be generated without much difficulty and the operation complexity of the mesh generation process is exactly the same as the usual 2D advancing front mesh generator. A set of mesh quality enhancement procedures has also been suggested for the further improvement of the quality of the finite element meshes. A simple and effective mesh conversion scheme is used to convert the output triangular mesh to a pure quadrilateral mesh while all the essential element characteristics are preserved. Mesh generation examples show that high quality finite element meshes with element characteristics compatible with the specified metric tensors are generated within a reasonable time limit in a common small computing environment.
first_indexed 2024-10-01T06:28:29Z
format Journal Article
id ntu-10356/103384
institution Nanyang Technological University
language English
last_indexed 2024-10-01T06:28:29Z
publishDate 2014
record_format dspace
spelling ntu-10356/1033842020-03-07T11:45:55Z Automatic adaptive mesh generation using metric advancing front approach Lee, Chi King School of Civil and Environmental Engineering DRNTU::Engineering::Civil engineering::Structures and design A new mesh generation procedure is suggested for the generation of 2D adaptive finite element meshes with strong element gradation and stretching effects. Metric tensors are employed to define and control the element characteristics during the mesh generation process. By using the metric tensor specification and a new, robust and refined advancing front triangulation kernel, triangles with nearly unit edge length with respect to the normalized space are generated. Highly graded and stretched elements can be generated without much difficulty and the operation complexity of the mesh generation process is exactly the same as the usual 2D advancing front mesh generator. A set of mesh quality enhancement procedures has also been suggested for the further improvement of the quality of the finite element meshes. A simple and effective mesh conversion scheme is used to convert the output triangular mesh to a pure quadrilateral mesh while all the essential element characteristics are preserved. Mesh generation examples show that high quality finite element meshes with element characteristics compatible with the specified metric tensors are generated within a reasonable time limit in a common small computing environment. Accepted version 2014-05-15T06:07:06Z 2019-12-06T21:11:27Z 2014-05-15T06:07:06Z 2019-12-06T21:11:27Z 1999 1999 Journal Article Lee, C. (1999). Automatic adaptive mesh generation using metric advancing front approach. Engineering Computations, 16(2), 230-263. 0264-4401 https://hdl.handle.net/10356/103384 http://hdl.handle.net/10220/19343 10.1108/02644409910257494 en Engineering computations © 1999 Emerald Group Publishing Limited. This is the author created version of a work that has been peer reviewed and accepted for publication by Engineering Computations, Emerald Group Publishing Limited. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1108/02644409910257494]. application/pdf
spellingShingle DRNTU::Engineering::Civil engineering::Structures and design
Lee, Chi King
Automatic adaptive mesh generation using metric advancing front approach
title Automatic adaptive mesh generation using metric advancing front approach
title_full Automatic adaptive mesh generation using metric advancing front approach
title_fullStr Automatic adaptive mesh generation using metric advancing front approach
title_full_unstemmed Automatic adaptive mesh generation using metric advancing front approach
title_short Automatic adaptive mesh generation using metric advancing front approach
title_sort automatic adaptive mesh generation using metric advancing front approach
topic DRNTU::Engineering::Civil engineering::Structures and design
url https://hdl.handle.net/10356/103384
http://hdl.handle.net/10220/19343
work_keys_str_mv AT leechiking automaticadaptivemeshgenerationusingmetricadvancingfrontapproach