Article: 3D anisotropic mesh refinement in compliance with a general metric specification

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Title3D anisotropic mesh refinement in compliance with a general metric specification
AuthorsLo, SH1
KeywordsAnisotropic refinement
Tetrahedron
Three-dimensional finite element mesh generation
Issue Date2001
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
CitationFinite Elements In Analysis And Design, 2001, v. 38 n. 1, p. 3-19 [How to Cite?]
DOI: http://dx.doi.org/10.1016/S0168-874X(01)00051-8
AbstractA simple and efficient anisotropic refinement procedure for the three-dimensional tetrahedral element mesh based on successive bisection of edges is proposed. Refinement is done by dividing lines of the mesh based on the lengths calculated on three points as specified by the metric tensor along the direction of the line. To obtain the best mesh quality, the subdivision of line segments is performed in the sequence according to the length of the line segments to be divided. Such an order of priority can be determined by a simple sorting process on all the line segments for which refinement is needed. This list of ordered line segments has to be updated from time to time to take into account the new line segments generated during the subdivision process. From the examples studied, the CPU time for mesh refinement seems to bear a linear relationship with the number of elements generated, with a refinement rate of up to 30000 elements/s on an IBM Power Station 3BT. Shape optimization procedures can be applied to the refined mesh to further improve the quality of the elements. The refinement scheme is useful as part of a general three-dimensional mesh generation package, or as the mesh refinement module in an adaptive finite element analysis. © 2001 Elsevier Science B.V. All rights reserved.
ISSN0168-874X
2011 Impact Factor: 1.058
2011 SCImago Journal Rankings: 0.058
DOIhttp://dx.doi.org/10.1016/S0168-874X(01)00051-8
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorLo, SH
dc.date.accessioned2010-09-26T07:50:34Z
dc.date.available2010-09-26T07:50:34Z
dc.date.issued2001
dc.description.abstractA simple and efficient anisotropic refinement procedure for the three-dimensional tetrahedral element mesh based on successive bisection of edges is proposed. Refinement is done by dividing lines of the mesh based on the lengths calculated on three points as specified by the metric tensor along the direction of the line. To obtain the best mesh quality, the subdivision of line segments is performed in the sequence according to the length of the line segments to be divided. Such an order of priority can be determined by a simple sorting process on all the line segments for which refinement is needed. This list of ordered line segments has to be updated from time to time to take into account the new line segments generated during the subdivision process. From the examples studied, the CPU time for mesh refinement seems to bear a linear relationship with the number of elements generated, with a refinement rate of up to 30000 elements/s on an IBM Power Station 3BT. Shape optimization procedures can be applied to the refined mesh to further improve the quality of the elements. The refinement scheme is useful as part of a general three-dimensional mesh generation package, or as the mesh refinement module in an adaptive finite element analysis. © 2001 Elsevier Science B.V. All rights reserved.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationFinite Elements In Analysis And Design, 2001, v. 38 n. 1, p. 3-19 [How to Cite?]
DOI: http://dx.doi.org/10.1016/S0168-874X(01)00051-8
dc.identifier.citeulike5821134
dc.identifier.doihttp://dx.doi.org/10.1016/S0168-874X(01)00051-8
dc.identifier.epage19
dc.identifier.hkuros61653
dc.identifier.isiWOS:000172170400001
dc.identifier.issn0168-874X
2011 Impact Factor: 1.058
2011 SCImago Journal Rankings: 0.058
dc.identifier.issue1
dc.identifier.openurl
dc.identifier.scopuseid_2-s2.0-0035545872
dc.identifier.spage3
dc.identifier.urihttp://hdl.handle.net/10722/118132
dc.identifier.volume38
dc.languageeng
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
dc.publisher.placeNetherlands
dc.relation.ispartofFinite Elements in Analysis and Design
dc.relation.referencesReferences in Scopus
dc.rightsFinite Elements in Analysis and Design. Copyright © Elsevier BV.
dc.subjectAnisotropic refinement
dc.subjectTetrahedron
dc.subjectThree-dimensional finite element mesh generation
dc.title3D anisotropic mesh refinement in compliance with a general metric specification
dc.typeArticle
Author Affiliations
  1. The University of Hong Kong