No Cover Image

Journal article 67 views 2 downloads

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

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

  • 66515.VOR.pdf

    PDF | Version of Record

    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.

    Download (9.6MB)

Check full text

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...

Full description

Published in: Engineering with Computers
ISSN: 0177-0667 1435-5663
Published: Springer Science and Business Media LLC
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa66515
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2024-05-28T08:56:53Z
last_indexed 2024-05-28T08:56:53Z
id cronfa66515
recordtype SURis
fullrecord <?xml version="1.0" encoding="utf-8"?><rfc1807 xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema"><bib-version>v2</bib-version><id>66515</id><entry>2024-05-28</entry><title>The generation of tetrahedral meshes for NURBS-enhanced FEM</title><swanseaauthors><author><sid>a9f66a1e56009848af57c0d174d08ffe</sid><ORCID>0000-0001-7436-7903</ORCID><firstname>Xi</firstname><surname>Zou</surname><name>Xi Zou</name><active>true</active><ethesisStudent>false</ethesisStudent></author><author><sid>b542c87f1b891262844e95a682f045b6</sid><ORCID>0000-0002-0061-6214</ORCID><firstname>Rubén</firstname><surname>Sevilla</surname><name>Rubén Sevilla</name><active>true</active><ethesisStudent>false</ethesisStudent></author><author><sid>07479d73eba3773d8904cbfbacc57c5b</sid><ORCID>0000-0001-7472-3218</ORCID><firstname>Oubay</firstname><surname>Hassan</surname><name>Oubay Hassan</name><active>true</active><ethesisStudent>false</ethesisStudent></author><author><sid>17f3de8936c7f981aea3a832579c5e91</sid><ORCID>0000-0003-0760-1688</ORCID><firstname>Kenneth</firstname><surname>Morgan</surname><name>Kenneth Morgan</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2024-05-28</date><deptcode>ACEM</deptcode><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 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.</abstract><type>Journal Article</type><journal>Engineering with Computers</journal><volume/><journalNumber/><paginationStart/><paginationEnd/><publisher>Springer Science and Business Media LLC</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0177-0667</issnPrint><issnElectronic>1435-5663</issnElectronic><keywords>mesh generation, NURBS-enhanced finite element method (NEFEM), De-featuring · Persistent geometry, High-order approximation</keywords><publishedDay>0</publishedDay><publishedMonth>0</publishedMonth><publishedYear>0</publishedYear><publishedDate>0001-01-01</publishedDate><doi>10.1007/s00366-024-02004-z</doi><url>http://dx.doi.org/10.1007/s00366-024-02004-z</url><notes/><college>COLLEGE NANME</college><department>Aerospace, Civil, Electrical, and Mechanical Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>ACEM</DepartmentCode><institution>Swansea University</institution><apcterm>SU Library paid the OA fee (TA Institutional Deal)</apcterm><funders>EPSRC, EP/T009071/1</funders><projectreference/><lastEdited>2024-07-15T15:19:00.0525754</lastEdited><Created>2024-05-28T09:42:45.7076526</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering</level></path><authors><author><firstname>Xi</firstname><surname>Zou</surname><orcid>0000-0001-7436-7903</orcid><order>1</order></author><author><firstname>Sui Bun</firstname><surname>Lo</surname><order>2</order></author><author><firstname>Rubén</firstname><surname>Sevilla</surname><orcid>0000-0002-0061-6214</orcid><order>3</order></author><author><firstname>Oubay</firstname><surname>Hassan</surname><orcid>0000-0001-7472-3218</orcid><order>4</order></author><author><firstname>Kenneth</firstname><surname>Morgan</surname><orcid>0000-0003-0760-1688</orcid><order>5</order></author></authors><documents><document><filename>66515__30903__1add14ee64f944b09c0c1d181133cefd.pdf</filename><originalFilename>66515.VOR.pdf</originalFilename><uploaded>2024-07-15T15:15:10.6537454</uploaded><type>Output</type><contentLength>10069898</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>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.</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>http://creativecommons.org/licenses/by/4.0/</licence></document></documents><OutputDurs/></rfc1807>
spelling 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 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 0 0 0 0001-01-01 10.1007/s00366-024-02004-z http://dx.doi.org/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 2024-07-15T15:19:00.0525754 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
07479d73eba3773d8904cbfbacc57c5b
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
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
url http://dx.doi.org/10.1007/s00366-024-02004-z
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 0001-01-01T15:18:59Z
_version_ 1804655016307326976
score 11.016235

Similar Items