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The Generation of 3D Surface Meshes for NURBS-Enhanced FEM

Xi Zou Orcid Logo, Sui Bun Lo, Rubén Sevilla Orcid Logo, Oubay Hassan Orcid Logo, Kenneth Morgan Orcid Logo

Computer-Aided Design, Volume: 168, Start page: 103653

Swansea University Authors: Xi Zou Orcid Logo, Sui Bun Lo, Rubén Sevilla Orcid Logo, Oubay Hassan Orcid Logo, Kenneth Morgan Orcid Logo

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DOI (Published version): 10.1016/j.cad.2023.103653

Abstract

This work presents the first method for generating triangular surface meshes in three dimensions for the NURBS-enhanced finite element method. The generated meshes may contain triangular elements that span across multiple NURBS surfaces, whilst maintaining the exact representation of the CAD geometr...

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Published in: Computer-Aided Design
ISSN: 0010-4485
Published: Elsevier BV 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa65064
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spelling 2024-03-08T12:17:28.4282958 v2 65064 2023-11-22 The Generation of 3D Surface Meshes for NURBS-Enhanced FEM a9f66a1e56009848af57c0d174d08ffe 0000-0001-7436-7903 Xi Zou Xi Zou true false 0abd939c9ae3ae6b04afc4a8f74d5b51 Sui Bun Lo Sui Bun Lo true false b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 07479d73eba3773d8904cbfbacc57c5b 0000-0001-7472-3218 Oubay Hassan Oubay Hassan true false 17f3de8936c7f981aea3a832579c5e91 0000-0003-0760-1688 Kenneth Morgan Kenneth Morgan true false 2023-11-22 ACEM This work presents the first method for generating triangular surface meshes in three dimensions for the NURBS-enhanced finite element method. The generated meshes may contain triangular elements that span across multiple NURBS surfaces, whilst maintaining the exact representation of the CAD geometry. This strategy completely eliminates the need for de-featuring complex watertight CAD models and, at the same time, eliminates any uncertainty associated with the simplification of CAD models. In addition, the ability to create elements that span across multiple surfaces ensures that the generated meshes are highly compliant with the requirements of the user-specified spacing function, even if the CAD model contains very small geometric features. To demonstrate the capability, the proposed strategy is applied to a variety of CAD geometries, taken from areas such as solid/structural mechanics, fluid dynamics and wave propagation. Journal Article Computer-Aided Design 168 103653 Elsevier BV 0010-4485 De-featuring; Exact geometry; High-order approximation; Mesh generation; NURBS-enhanced finite element method (NEFEM); Computer aided design; Mesh generation; Wave propagation; Finite element method 1 3 2024 2024-03-01 10.1016/j.cad.2023.103653 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University SU Library paid the OA fee (TA Institutional Deal) EPSRC, EP/T009071/1 2024-03-08T12:17:28.4282958 2023-11-22T09:01:00.2983846 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Xi Zou 0000-0001-7436-7903 1 Sui Bun Lo 2 Rubén Sevilla 0000-0002-0061-6214 3 Oubay Hassan 0000-0001-7472-3218 4 Kenneth Morgan 0000-0003-0760-1688 5 65064__29261__fdf69dec054047a9ae3395bad86cd58d.pdf 65064.VOR.pdf 2023-12-13T14:34:46.1299061 Output 6021882 application/pdf Version of Record true This is an open access article distributed under the CC BY 4.0 license. true eng http://creativecommons.org/licenses/by/4.0/
title The Generation of 3D Surface Meshes for NURBS-Enhanced FEM
spellingShingle The Generation of 3D Surface Meshes for NURBS-Enhanced FEM
Xi Zou
Sui Bun Lo
Rubén Sevilla
Oubay Hassan
Kenneth Morgan
title_short The Generation of 3D Surface Meshes for NURBS-Enhanced FEM
title_full The Generation of 3D Surface Meshes for NURBS-Enhanced FEM
title_fullStr The Generation of 3D Surface Meshes for NURBS-Enhanced FEM
title_full_unstemmed The Generation of 3D Surface Meshes for NURBS-Enhanced FEM
title_sort The Generation of 3D Surface Meshes for NURBS-Enhanced FEM
author_id_str_mv a9f66a1e56009848af57c0d174d08ffe
0abd939c9ae3ae6b04afc4a8f74d5b51
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author_id_fullname_str_mv a9f66a1e56009848af57c0d174d08ffe_***_Xi Zou
0abd939c9ae3ae6b04afc4a8f74d5b51_***_Sui Bun Lo
b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
07479d73eba3773d8904cbfbacc57c5b_***_Oubay Hassan
17f3de8936c7f981aea3a832579c5e91_***_Kenneth Morgan
author Xi Zou
Sui Bun Lo
Rubén Sevilla
Oubay Hassan
Kenneth Morgan
author2 Xi Zou
Sui Bun Lo
Rubén Sevilla
Oubay Hassan
Kenneth Morgan
format Journal article
container_title Computer-Aided Design
container_volume 168
container_start_page 103653
publishDate 2024
institution Swansea University
issn 0010-4485
doi_str_mv 10.1016/j.cad.2023.103653
publisher Elsevier BV
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
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description This work presents the first method for generating triangular surface meshes in three dimensions for the NURBS-enhanced finite element method. The generated meshes may contain triangular elements that span across multiple NURBS surfaces, whilst maintaining the exact representation of the CAD geometry. This strategy completely eliminates the need for de-featuring complex watertight CAD models and, at the same time, eliminates any uncertainty associated with the simplification of CAD models. In addition, the ability to create elements that span across multiple surfaces ensures that the generated meshes are highly compliant with the requirements of the user-specified spacing function, even if the CAD model contains very small geometric features. To demonstrate the capability, the proposed strategy is applied to a variety of CAD geometries, taken from areas such as solid/structural mechanics, fluid dynamics and wave propagation.
published_date 2024-03-01T02:46:17Z
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