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The generation of tetrahedral meshes for NURBS-enhanced FEM

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

Engineering with Computers, Volume: 40, Pages: 3949 - 3977

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

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DOI (Published version): 10.1007/s00366-024-02004-z

Abstract

This work presents the first method for generating tetrahedral-based volume meshes dedicated to the NURBS-enhanced finite element method (NEFEM). Built upon the developed method of generating feature-independent surface meshes tailored for NEFEM, the proposed mesh generation scheme is able to grow v...

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Published in: Engineering with Computers
ISSN: 0177-0667 1435-5663
Published: Springer Science and Business Media LLC 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa66515
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Built upon the developed method of generating feature-independent surface meshes tailored for NEFEM, the proposed mesh generation scheme is able to grow volume elements that inherit the feature-independence by using the surface mesh as the initial boundary discretisation. Therefore, the generated tetrahedral elements may contain triangular faces that span across multiple NURBS surfaces whilst maintaining the exact boundary description. The proposed strategy completely eliminates the need for de-featuring complex watertight CAD models. At the same time, it eliminates the uncertainty originated from the simplification of CAD models adopted in industrial practice and the error introduced by traditional isoparametric mesh generators that produce polynomial approximations of the true boundary representation. Thanks to the capability of having element faces traversing multiple geometric surfaces, small geometric features in the CAD model no longer restrict the minimum element size, and the user-required mesh spacing in the generated mesh is better satisfied than in traditional meshes that require local refinement. 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The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>http://creativecommons.org/licenses/by/4.0/</licence></document></documents><OutputDurs/></rfc1807>
spelling 2024-12-04T14:53:12.7679082 v2 66515 2024-05-28 The generation of tetrahedral meshes for NURBS-enhanced FEM a9f66a1e56009848af57c0d174d08ffe 0000-0001-7436-7903 Xi Zou Xi Zou 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 2024-05-28 ACEM This work presents the first method for generating tetrahedral-based volume meshes dedicated to the NURBS-enhanced finite element method (NEFEM). Built upon the developed method of generating feature-independent surface meshes tailored for NEFEM, the proposed mesh generation scheme is able to grow volume elements that inherit the feature-independence by using the surface mesh as the initial boundary discretisation. Therefore, the generated tetrahedral elements may contain triangular faces that span across multiple NURBS surfaces whilst maintaining the exact boundary description. The proposed strategy completely eliminates the need for de-featuring complex watertight CAD models. At the same time, it eliminates the uncertainty originated from the simplification of CAD models adopted in industrial practice and the error introduced by traditional isoparametric mesh generators that produce polynomial approximations of the true boundary representation. Thanks to the capability of having element faces traversing multiple geometric surfaces, small geometric features in the CAD model no longer restrict the minimum element size, and the user-required mesh spacing in the generated mesh is better satisfied than in traditional meshes that require local refinement. To demonstrate the ability of the proposed approach, a variety of CAD geometries are meshed with the proposed strategy, including examples relevant to the fluid dynamics, wave propagation and solid mechanics communities. Journal Article Engineering with Computers 40 3949 3977 Springer Science and Business Media LLC 0177-0667 1435-5663 Mesh generation, NURBS-enhanced finite element method (NEFEM), De-featuring, Persistent geometry, High-order approximation 1 12 2024 2024-12-01 10.1007/s00366-024-02004-z 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 2024-12-04T14:53:12.7679082 2024-05-28T09:42:45.7076526 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace 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 66515__30903__1add14ee64f944b09c0c1d181133cefd.pdf 66515.VOR.pdf 2024-07-15T15:15:10.6537454 Output 10069898 application/pdf Version of Record true This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. true eng http://creativecommons.org/licenses/by/4.0/
title The generation of tetrahedral meshes for NURBS-enhanced FEM
spellingShingle The generation of tetrahedral meshes for NURBS-enhanced FEM
Xi Zou
Rubén Sevilla
Oubay Hassan
Kenneth Morgan
title_short The generation of tetrahedral meshes for NURBS-enhanced FEM
title_full The generation of tetrahedral meshes for NURBS-enhanced FEM
title_fullStr The generation of tetrahedral meshes for NURBS-enhanced FEM
title_full_unstemmed The generation of tetrahedral meshes for NURBS-enhanced FEM
title_sort The generation of tetrahedral meshes for NURBS-enhanced FEM
author_id_str_mv a9f66a1e56009848af57c0d174d08ffe
b542c87f1b891262844e95a682f045b6
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17f3de8936c7f981aea3a832579c5e91
author_id_fullname_str_mv a9f66a1e56009848af57c0d174d08ffe_***_Xi Zou
b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
07479d73eba3773d8904cbfbacc57c5b_***_Oubay Hassan
17f3de8936c7f981aea3a832579c5e91_***_Kenneth Morgan
author Xi Zou
Rubén Sevilla
Oubay Hassan
Kenneth Morgan
author2 Xi Zou
Sui Bun Lo
Rubén Sevilla
Oubay Hassan
Kenneth Morgan
format Journal article
container_title Engineering with Computers
container_volume 40
container_start_page 3949
publishDate 2024
institution Swansea University
issn 0177-0667
1435-5663
doi_str_mv 10.1007/s00366-024-02004-z
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
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 - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
document_store_str 1
active_str 0
description This work presents the first method for generating tetrahedral-based volume meshes dedicated to the NURBS-enhanced finite element method (NEFEM). Built upon the developed method of generating feature-independent surface meshes tailored for NEFEM, the proposed mesh generation scheme is able to grow volume elements that inherit the feature-independence by using the surface mesh as the initial boundary discretisation. Therefore, the generated tetrahedral elements may contain triangular faces that span across multiple NURBS surfaces whilst maintaining the exact boundary description. The proposed strategy completely eliminates the need for de-featuring complex watertight CAD models. At the same time, it eliminates the uncertainty originated from the simplification of CAD models adopted in industrial practice and the error introduced by traditional isoparametric mesh generators that produce polynomial approximations of the true boundary representation. Thanks to the capability of having element faces traversing multiple geometric surfaces, small geometric features in the CAD model no longer restrict the minimum element size, and the user-required mesh spacing in the generated mesh is better satisfied than in traditional meshes that require local refinement. To demonstrate the ability of the proposed approach, a variety of CAD geometries are meshed with the proposed strategy, including examples relevant to the fluid dynamics, wave propagation and solid mechanics communities.
published_date 2024-12-01T13:33:14Z
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score 11.059359

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