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Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry

Onofre Marco, Rubén Sevilla Orcid Logo, Yongjie Zhang, Juan José Ródenas, Manuel Tur

International Journal for Numerical Methods in Engineering, Volume: 103, Issue: 6, Pages: 445 - 468

Swansea University Author: Rubén Sevilla Orcid Logo

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DOI (Published version): 10.1002/nme.4914

Abstract

This paper proposes a novel Immersed Boundary Method where the embedded domain is exactly described by using its Computer-Aided Design (CAD) boundary representation with Non-Uniform Rational B-Splines (NURBS) or T-splines. The common feature with other immersed methods is that the current approach s...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981
Published: 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa21138
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first_indexed 2015-05-07T02:10:12Z
last_indexed 2021-01-08T03:35:45Z
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spelling 2021-01-07T14:41:53.7219422 v2 21138 2015-05-06 Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2015-05-06 CIVL This paper proposes a novel Immersed Boundary Method where the embedded domain is exactly described by using its Computer-Aided Design (CAD) boundary representation with Non-Uniform Rational B-Splines (NURBS) or T-splines. The common feature with other immersed methods is that the current approach substantially reduces the burden of mesh generation. In contrast, the exact boundary representation of the embedded domain allows to overcome the major drawback of existing immersed methods that is the inaccurate representation of the physical domain. A novel approach to perform the numerical integration in the region of the cut elements that is internal to the physical domain is presented and its accuracy and performance evaluated using numerical tests. The applicability, performance, and optimal convergence of the proposed methodology is assessed by using numerical examples in three dimensions. It is also shown that the accuracy of the proposed methodology is independent on the CAD technology used to describe the geometry of the embedded domain. Journal Article International Journal for Numerical Methods in Engineering 103 6 445 468 0029-5981 Immersed Boundary Methods, Cartesian grids, NURBS, T-spline, Bezier extraction, NEFEM 6 7 2015 2015-07-06 10.1002/nme.4914 http://onlinelibrary.wiley.com/doi/10.1002/nme.4914/abstract COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2021-01-07T14:41:53.7219422 2015-05-06T16:57:38.7399088 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Onofre Marco 1 Rubén Sevilla 0000-0002-0061-6214 2 Yongjie Zhang 3 Juan José Ródenas 4 Manuel Tur 5 0021138-12062016145606.pdf 2015_CartesianFEM_CAD.pdf 2016-06-12T17:44:53.5570000 Output 646190 application/pdf Accepted Manuscript true 2016-06-12T00:00:00.0000000 true
title Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
spellingShingle Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
Rubén Sevilla
title_short Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
title_full Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
title_fullStr Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
title_full_unstemmed Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
title_sort Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
author_id_str_mv b542c87f1b891262844e95a682f045b6
author_id_fullname_str_mv b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
author Rubén Sevilla
author2 Onofre Marco
Rubén Sevilla
Yongjie Zhang
Juan José Ródenas
Manuel Tur
format Journal article
container_title International Journal for Numerical Methods in Engineering
container_volume 103
container_issue 6
container_start_page 445
publishDate 2015
institution Swansea University
issn 0029-5981
doi_str_mv 10.1002/nme.4914
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 - 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.4914/abstract
document_store_str 1
active_str 0
description This paper proposes a novel Immersed Boundary Method where the embedded domain is exactly described by using its Computer-Aided Design (CAD) boundary representation with Non-Uniform Rational B-Splines (NURBS) or T-splines. The common feature with other immersed methods is that the current approach substantially reduces the burden of mesh generation. In contrast, the exact boundary representation of the embedded domain allows to overcome the major drawback of existing immersed methods that is the inaccurate representation of the physical domain. A novel approach to perform the numerical integration in the region of the cut elements that is internal to the physical domain is presented and its accuracy and performance evaluated using numerical tests. The applicability, performance, and optimal convergence of the proposed methodology is assessed by using numerical examples in three dimensions. It is also shown that the accuracy of the proposed methodology is independent on the CAD technology used to describe the geometry of the embedded domain.
published_date 2015-07-06T03:25:01Z
_version_ 1763750866199773184
score 10.998116

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