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Article: Generation of gradation meshes by the background grid technique

TitleGeneration of gradation meshes by the background grid technique
Authors
Issue Date1994
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
Citation
Computers And Structures, 1994, v. 50 n. 1, p. 21-32 How to Cite?
AbstractA new algorithm for the generation of well-graded high-quality finite element mesh for adaptive refinement analysis is presented. The proposed mesh generation scheme is fully automatic and is applicable to any arbitrary 2D planar domains. The element size information of the background mesh is first transferred to a square grid, with which well graded elements with size compatible with the prescribed node spacing function can be generated. The efficiency of the mesh generator is also much improved over the direct interpolation scheme, as a rigorous search on the elements is no longer required in the computation of node spacing values. Moreover, by using different mesh conversion techniques to convert part or all of the triangular elements into quadrilateral elements, gradation quadrilateral meshes can also be obtained. A dimensionless parameter χ is introduced to measure the deviation of the element size of the gradation mesh from the prescribed node spacing function. Mesh generation over domains of various characteristics are given as examples. The χ values of the meshes generated are found to be very close to the ideal value of unity, demonstrating that a rapid variation of element size inside the problem domain can be captured precisely by this background square grid technique. © 1994.
Persistent Identifierhttp://hdl.handle.net/10722/70769
ISSN
2015 Impact Factor: 2.425
2015 SCImago Journal Rankings: 1.710

 

DC FieldValueLanguage
dc.contributor.authorLo, SHen_HK
dc.contributor.authorLee, CKen_HK
dc.date.accessioned2010-09-06T06:25:57Z-
dc.date.available2010-09-06T06:25:57Z-
dc.date.issued1994en_HK
dc.identifier.citationComputers And Structures, 1994, v. 50 n. 1, p. 21-32en_HK
dc.identifier.issn0045-7949en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70769-
dc.description.abstractA new algorithm for the generation of well-graded high-quality finite element mesh for adaptive refinement analysis is presented. The proposed mesh generation scheme is fully automatic and is applicable to any arbitrary 2D planar domains. The element size information of the background mesh is first transferred to a square grid, with which well graded elements with size compatible with the prescribed node spacing function can be generated. The efficiency of the mesh generator is also much improved over the direct interpolation scheme, as a rigorous search on the elements is no longer required in the computation of node spacing values. Moreover, by using different mesh conversion techniques to convert part or all of the triangular elements into quadrilateral elements, gradation quadrilateral meshes can also be obtained. A dimensionless parameter χ is introduced to measure the deviation of the element size of the gradation mesh from the prescribed node spacing function. Mesh generation over domains of various characteristics are given as examples. The χ values of the meshes generated are found to be very close to the ideal value of unity, demonstrating that a rapid variation of element size inside the problem domain can be captured precisely by this background square grid technique. © 1994.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstrucen_HK
dc.relation.ispartofComputers and Structuresen_HK
dc.titleGeneration of gradation meshes by the background grid techniqueen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0045-7949&volume=41&spage=21&epage=32&date=1994&atitle=Generation+of+gradation+meshes+by+the+background+grid+techniqueen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0028762321en_HK
dc.identifier.hkuros1136en_HK
dc.identifier.volume50en_HK
dc.identifier.issue1en_HK
dc.identifier.spage21en_HK
dc.identifier.epage32en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.scopusauthoridLee, CK=36882464700en_HK

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