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Article: Generation of triangular mesh with specified size by circle packing

TitleGeneration of triangular mesh with specified size by circle packing
Authors
KeywordsAdvancing front
Boundary recovery
Circle packing
Mesh generation
Parametric surface
Specified size
Issue Date2007
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/advengsoft
Citation
Advances In Engineering Software, 2007, v. 38 n. 2, p. 133-142 How to Cite?
AbstractThis paper describes an algorithm for the generation of a finite element mesh with a specified element size over an unbound 2D domain using the advancing front circle packing technique. Unlike the conventional frontal method, the procedure does not start from the object boundary but starts from a convenient point within the open domain. As soon as a circle is added to the generation front, triangular elements are directly generated by properly connecting frontal segments with the centre of the new circle. Circles are packed closely and in contact with the existing circles by an iterative procedure according to the specified size control function. In contrast to other mesh generation schemes, the domain boundary is not considered in the process of circle packing, this reduces a lot of geometrical checks for intersection between frontal segments. If the mesh generation of a physical object is required, the object boundary can be introduced. The boundary recovery procedure is fast and robust by tracing neighbours of triangular elements. The finite element mesh generated by circle packing can also be used through a mapping process to produce parametric surface meshes of the required characteristics. The sizes of circles in the pack are controlled by the principal surface curvatures. Five examples are given to show the effectiveness and robustness of mesh generation and the application of circle packing to mesh generation over curved surfaces. © 2006 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71809
ISSN
2015 Impact Factor: 1.673
2015 SCImago Journal Rankings: 0.812
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, WXen_HK
dc.contributor.authorMing, CYen_HK
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2010-09-06T06:35:22Z-
dc.date.available2010-09-06T06:35:22Z-
dc.date.issued2007en_HK
dc.identifier.citationAdvances In Engineering Software, 2007, v. 38 n. 2, p. 133-142en_HK
dc.identifier.issn0965-9978en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71809-
dc.description.abstractThis paper describes an algorithm for the generation of a finite element mesh with a specified element size over an unbound 2D domain using the advancing front circle packing technique. Unlike the conventional frontal method, the procedure does not start from the object boundary but starts from a convenient point within the open domain. As soon as a circle is added to the generation front, triangular elements are directly generated by properly connecting frontal segments with the centre of the new circle. Circles are packed closely and in contact with the existing circles by an iterative procedure according to the specified size control function. In contrast to other mesh generation schemes, the domain boundary is not considered in the process of circle packing, this reduces a lot of geometrical checks for intersection between frontal segments. If the mesh generation of a physical object is required, the object boundary can be introduced. The boundary recovery procedure is fast and robust by tracing neighbours of triangular elements. The finite element mesh generated by circle packing can also be used through a mapping process to produce parametric surface meshes of the required characteristics. The sizes of circles in the pack are controlled by the principal surface curvatures. Five examples are given to show the effectiveness and robustness of mesh generation and the application of circle packing to mesh generation over curved surfaces. © 2006 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/advengsoften_HK
dc.relation.ispartofAdvances in Engineering Softwareen_HK
dc.subjectAdvancing fronten_HK
dc.subjectBoundary recoveryen_HK
dc.subjectCircle packingen_HK
dc.subjectMesh generationen_HK
dc.subjectParametric surfaceen_HK
dc.subjectSpecified sizeen_HK
dc.titleGeneration of triangular mesh with specified size by circle packingen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0965-9978&volume=38&issue=2&spage=133&epage=142 &date=2007&atitle=Generation+of+triangular+mesh+with+specified+size+by+circle+packingen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.advengsoft.2006.04.006en_HK
dc.identifier.scopuseid_2-s2.0-33750037332en_HK
dc.identifier.hkuros152300en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33750037332&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume38en_HK
dc.identifier.issue2en_HK
dc.identifier.spage133en_HK
dc.identifier.epage142en_HK
dc.identifier.isiWOS:000242782400007-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridWang, WX=8695906800en_HK
dc.identifier.scopusauthoridMing, CY=22954206400en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK

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