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Article: Volume discretization into tetrahedra-II. 3D triangulation by advancing front approach

TitleVolume discretization into tetrahedra-II. 3D triangulation by advancing front approach
Authors
Issue Date1991
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
Citation
Computers And Structures, 1991, v. 39 n. 5, p. 501-511 How to Cite?
AbstractExisting methods of automatic mesh generation for 3D solid objects are reviewed. Although the 3D Delaunay triangulation recently aroused much attention, its suitability as a finite element mesh generator is questioned. Although in 2D Delaunay triangulation, the 'max-min' angle criterion can be verified over the entire domain, no equivalent or similar criterion can be defined for its extension to 3D situations to ensure that tetrahedron elements so generated are well proportioned for numerical calculations. In this paper, a simple but versatile 3D triangulation scheme based on the advancing front technique for the discretization of arbitrary volumes is presented. To ensure that the tetrahedron elements generated are as equilateral as possible, the ratio of volume of the element to the sum of squares of edges put into a dimensionless form is adopted to judge the quality of a tetrahedron element. The quality of the finite element mesh can thus be ensured if the shape of each tetrahedron element is carefully controlled in the mesh construction process. Through the study of numerous examples of various characteristics, it is found that high-quality tetrahedron element meshes are obtained by the proposed algorithm. © 1991.
Persistent Identifierhttp://hdl.handle.net/10722/149956
ISSN
2015 Impact Factor: 2.425
2015 SCImago Journal Rankings: 1.710

 

DC FieldValueLanguage
dc.contributor.authorLo, SHen_US
dc.date.accessioned2012-06-26T06:00:46Z-
dc.date.available2012-06-26T06:00:46Z-
dc.date.issued1991en_US
dc.identifier.citationComputers And Structures, 1991, v. 39 n. 5, p. 501-511en_US
dc.identifier.issn0045-7949en_US
dc.identifier.urihttp://hdl.handle.net/10722/149956-
dc.description.abstractExisting methods of automatic mesh generation for 3D solid objects are reviewed. Although the 3D Delaunay triangulation recently aroused much attention, its suitability as a finite element mesh generator is questioned. Although in 2D Delaunay triangulation, the 'max-min' angle criterion can be verified over the entire domain, no equivalent or similar criterion can be defined for its extension to 3D situations to ensure that tetrahedron elements so generated are well proportioned for numerical calculations. In this paper, a simple but versatile 3D triangulation scheme based on the advancing front technique for the discretization of arbitrary volumes is presented. To ensure that the tetrahedron elements generated are as equilateral as possible, the ratio of volume of the element to the sum of squares of edges put into a dimensionless form is adopted to judge the quality of a tetrahedron element. The quality of the finite element mesh can thus be ensured if the shape of each tetrahedron element is carefully controlled in the mesh construction process. Through the study of numerous examples of various characteristics, it is found that high-quality tetrahedron element meshes are obtained by the proposed algorithm. © 1991.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstrucen_US
dc.relation.ispartofComputers and Structuresen_US
dc.titleVolume discretization into tetrahedra-II. 3D triangulation by advancing front approachen_US
dc.typeArticleen_US
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_US
dc.identifier.authorityLo, SH=rp00223en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0025750925en_US
dc.identifier.hkuros42426-
dc.identifier.volume39en_US
dc.identifier.issue5en_US
dc.identifier.spage501en_US
dc.identifier.epage511en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLo, SH=7401542444en_US

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