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Article: Generation of anisotropic mesh by ellipse packing over an unbounded domain

TitleGeneration of anisotropic mesh by ellipse packing over an unbounded domain
Authors
KeywordsAdvancing front
Anisotropy
Ellipse packing
Mesh generation
Parametric surface
Unbounded domain
Issue Date2005
PublisherSpringer-Verlag London Ltd. The Journal's web site is located at http://link.springer.de/link/service/journals/00366/
Citation
Engineering With Computers, 2005, v. 20 n. 4, p. 372-383 How to Cite?
AbstractWith the advance of the finite element method, general fluid dynamic and traffic flow problems with arbitrary boundary definition over an unbounded domain are tackled. This paper describes an algorithm for the generation of anisotropic mesh of variable element size over an unbounded 2D domain by using the advancing front ellipse packing technique. Unlike the conventional frontal method, the procedure does not start from the object boundary but starts from a convenient point within an open domain. The sequence of construction of the packing ellipses is determined by the shortest distance from the fictitious centre in such a way that the generation front is more or less a circular loop with occasional minor concave parts due to element size variation. As soon as an ellipse is added to the generation front, finite elements are directly generated by properly connecting frontal segments with the centre of the new ellipse. Ellipses are packed closely and in contact with the existing ellipses by an iterative procedure according to the specified anisotropic metric tensor. The anisotropic meshes generated by ellipse packing can also be used through a mapping process to produce parametric surface meshes of various characteristics. The size and the orientation of the ellipses in the pack are controlled by the metric tensor as derived from the principal surface curvatures. In contrast to other mesh generation schemes, the domain boundary is not considered in the process of ellipse packing, this reduces a lot of geometrical checks for intersection between frontal segments. Five examples are given to show the effectiveness and robustness of anisotropic mesh generation and the application of ellipse packing to mesh generation over various curved surfaces. © Springer-Verlag London Limited 2005.
Persistent Identifierhttp://hdl.handle.net/10722/71127
ISSN
2015 Impact Factor: 1.46
2015 SCImago Journal Rankings: 0.540
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLo, SHen_HK
dc.contributor.authorWang, WXen_HK
dc.date.accessioned2010-09-06T06:29:09Z-
dc.date.available2010-09-06T06:29:09Z-
dc.date.issued2005en_HK
dc.identifier.citationEngineering With Computers, 2005, v. 20 n. 4, p. 372-383en_HK
dc.identifier.issn0177-0667en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71127-
dc.description.abstractWith the advance of the finite element method, general fluid dynamic and traffic flow problems with arbitrary boundary definition over an unbounded domain are tackled. This paper describes an algorithm for the generation of anisotropic mesh of variable element size over an unbounded 2D domain by using the advancing front ellipse packing technique. Unlike the conventional frontal method, the procedure does not start from the object boundary but starts from a convenient point within an open domain. The sequence of construction of the packing ellipses is determined by the shortest distance from the fictitious centre in such a way that the generation front is more or less a circular loop with occasional minor concave parts due to element size variation. As soon as an ellipse is added to the generation front, finite elements are directly generated by properly connecting frontal segments with the centre of the new ellipse. Ellipses are packed closely and in contact with the existing ellipses by an iterative procedure according to the specified anisotropic metric tensor. The anisotropic meshes generated by ellipse packing can also be used through a mapping process to produce parametric surface meshes of various characteristics. The size and the orientation of the ellipses in the pack are controlled by the metric tensor as derived from the principal surface curvatures. In contrast to other mesh generation schemes, the domain boundary is not considered in the process of ellipse packing, this reduces a lot of geometrical checks for intersection between frontal segments. Five examples are given to show the effectiveness and robustness of anisotropic mesh generation and the application of ellipse packing to mesh generation over various curved surfaces. © Springer-Verlag London Limited 2005.en_HK
dc.languageengen_HK
dc.publisherSpringer-Verlag London Ltd. The Journal's web site is located at http://link.springer.de/link/service/journals/00366/en_HK
dc.relation.ispartofEngineering with Computersen_HK
dc.subjectAdvancing fronten_HK
dc.subjectAnisotropyen_HK
dc.subjectEllipse packingen_HK
dc.subjectMesh generationen_HK
dc.subjectParametric surfaceen_HK
dc.subjectUnbounded domainen_HK
dc.titleGeneration of anisotropic mesh by ellipse packing over an unbounded domainen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0177-0667&volume=20&issue=4&spage=372&epage=383&date=2005&atitle=Generation+of+anisotropic+mesh+by+ellipse+packing+over+an+unbounded+domainen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s00366-005-0317-7en_HK
dc.identifier.scopuseid_2-s2.0-23144452819en_HK
dc.identifier.hkuros103463en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-23144452819&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume20en_HK
dc.identifier.issue4en_HK
dc.identifier.spage372en_HK
dc.identifier.epage383en_HK
dc.identifier.isiWOS:000230903100009-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.scopusauthoridWang, WX=7501759936en_HK

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