The generation of triangular meshes for NURBS-enhanced FEM

Sevilla, Rubén; Rees, Luke; Hassan, Oubay

doi:10.1002/nme.5247

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The generation of triangular meshes for NURBS-enhanced FEM

Rubén Sevilla

, Luke Rees, Oubay Hassan

International Journal for Numerical Methods in Engineering, Volume: 108, Issue: 8, Pages: 941 - 968

Swansea University Authors: Rubén Sevilla , Oubay Hassan

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DOI (Published version): 10.1002/nme.5247

Abstract

This paper presents the first method that enables the fully automatic generation of triangular meshes suitable for the so‐called non‐uniform rational B‐spline (NURBS)‐enhanced finite element method (NEFEM). The meshes generated with the proposed approach account for the computer‐aided design boundar...

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Published in:	International Journal for Numerical Methods in Engineering
ISSN:	0029-5981
Published:	2016
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URI:	https://cronfa.swan.ac.uk/Record/cronfa28843
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first_indexed	2016-06-12T18:23:07Z
last_indexed	2020-10-31T03:39:11Z
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spelling	2020-10-30T09:46:59.5061944 v2 28843 2016-06-12 The generation of triangular meshes for NURBS-enhanced FEM b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 07479d73eba3773d8904cbfbacc57c5b 0000-0001-7472-3218 Oubay Hassan Oubay Hassan true false 2016-06-12 CIVL This paper presents the first method that enables the fully automatic generation of triangular meshes suitable for the so‐called non‐uniform rational B‐spline (NURBS)‐enhanced finite element method (NEFEM). The meshes generated with the proposed approach account for the computer‐aided design boundary representation of the domain given by NURBS curves. The characteristic element size is completely independent of the geometric complexity and of the presence of very small geometric features. The proposed strategy allows to circumvent the time‐consuming process of de‐featuring complex geometric models before a finite element mesh suitable for the analysis can be produced. A generalisation of the original definition of a NEFEM element is also proposed, enabling to treat more complicated elements with an edge defined by several NURBS curves or more than one edge defined by different NURBS. Three examples of increasing difficulty demonstrate the applicability of the proposed approach and illustrate the advantages compared with those of traditional finite element mesh generators. Finally, a simulation of an electromagnetic scattering problem is considered to show the applicability of the generated meshes for finite element analysis. Journal Article International Journal for Numerical Methods in Engineering 108 8 941 968 0029-5981 triangular mesh; NEFEM; geometric features; high-order finite elements; NURBS 23 3 2016 2016-03-23 10.1002/nme.5247 http://onlinelibrary.wiley.com/doi/10.1002/nme.5247/full This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University EPSRC Doctoral Training Grant; Sêr Cymru National Research Network in Advanced Engineering and Materials 2020-10-30T09:46:59.5061944 2016-06-12T17:38:27.3900519 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Rubén Sevilla 0000-0002-0061-6214 1 Luke Rees 2 Oubay Hassan 0000-0001-7472-3218 3 28843__3330__a92f061a91774e93a5bbd6ef342ffcb3.pdf Sevilla2016.pdf 2016-07-21T13:30:44.0500000 Output 5969156 application/pdf Version of Record true 2016-07-21T00:00:00.0000000 This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. true
title	The generation of triangular meshes for NURBS-enhanced FEM
spellingShingle	The generation of triangular meshes for NURBS-enhanced FEM Rubén Sevilla Oubay Hassan
title_short	The generation of triangular meshes for NURBS-enhanced FEM
title_full	The generation of triangular meshes for NURBS-enhanced FEM
title_fullStr	The generation of triangular meshes for NURBS-enhanced FEM
title_full_unstemmed	The generation of triangular meshes for NURBS-enhanced FEM
title_sort	The generation of triangular meshes for NURBS-enhanced FEM
author_id_str_mv	b542c87f1b891262844e95a682f045b6 07479d73eba3773d8904cbfbacc57c5b
author_id_fullname_str_mv	b542c87f1b891262844e95a682f045b6_*_Rubén Sevilla 07479d73eba3773d8904cbfbacc57c5b_*_Oubay Hassan
author	Rubén Sevilla Oubay Hassan
author2	Rubén Sevilla Luke Rees Oubay Hassan
format	Journal article
container_title	International Journal for Numerical Methods in Engineering
container_volume	108
container_issue	8
container_start_page	941
publishDate	2016
institution	Swansea University
issn	0029-5981
doi_str_mv	10.1002/nme.5247
college_str	Faculty of Science and Engineering
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hierarchy_top_id	facultyofscienceandengineering
hierarchy_top_title	Faculty of Science and Engineering
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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
url	http://onlinelibrary.wiley.com/doi/10.1002/nme.5247/full
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description	This paper presents the first method that enables the fully automatic generation of triangular meshes suitable for the so‐called non‐uniform rational B‐spline (NURBS)‐enhanced finite element method (NEFEM). The meshes generated with the proposed approach account for the computer‐aided design boundary representation of the domain given by NURBS curves. The characteristic element size is completely independent of the geometric complexity and of the presence of very small geometric features. The proposed strategy allows to circumvent the time‐consuming process of de‐featuring complex geometric models before a finite element mesh suitable for the analysis can be produced. A generalisation of the original definition of a NEFEM element is also proposed, enabling to treat more complicated elements with an edge defined by several NURBS curves or more than one edge defined by different NURBS. Three examples of increasing difficulty demonstrate the applicability of the proposed approach and illustrate the advantages compared with those of traditional finite element mesh generators. Finally, a simulation of an electromagnetic scattering problem is considered to show the applicability of the generated meshes for finite element analysis.
published_date	2016-03-23T03:35:12Z
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score	11.016235

The generation of triangular meshes for NURBS-enhanced FEM

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