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Article: Adaptive constrained mesh generation: part 2 - accommodation of constraints

TitleAdaptive constrained mesh generation: part 2 - accommodation of constraints
Authors
KeywordsDiscrete crack modelling
Mesh generation
Mesh smoothing
Issue Date2010
PublisherGBS Publishers & Distributors. The Journal's web site is located at http://ijamm.bc.cityu.edu.hk/ijamm/wp_home.asp
Citation
International Journal of Applied Mathematics and Mechanics, 2010, v. 6 n. 8, p. 22-45 How to Cite?
AbstractA novel algorithm for generating two-dimensional finite element meshes has been presented in Part 1. Herein, new methodologies of incorporating point and line constraints into an existing planar mesh are developed. Unlike the conventional method of applying local re-triangulation to the areas affected by the constraints, the proposed method employs a combination of nodal repositioning and nodal insertion to accommodate the constraints so as to maximise the shape quality of the resulting mesh. The method has the major advantage that it is adaptive to the results of analysis and hence even new constraints emerging during the analysis may be incorporated. When new nodes are inserted, they are assigned node numbers close to those of the nodes connected to them to minimise the increase in bandwidth and, in order to avoid conflicting numbers, the nodes affected are renumbered by shifting their numbers upwards. After accommodating the constraints, mesh smoothing may be applied to further improve the shape quality. Applications of the method in computational mechanics are discussed and examples presented to illustrate its versatility and performance.
Persistent Identifierhttp://hdl.handle.net/10722/139063
ISSN

 

DC FieldValueLanguage
dc.contributor.authorKwan, AKHen_US
dc.contributor.authorLeung, AYTen_US
dc.contributor.authorNg, PLen_US
dc.date.accessioned2011-09-23T05:44:40Z-
dc.date.available2011-09-23T05:44:40Z-
dc.date.issued2010en_US
dc.identifier.citationInternational Journal of Applied Mathematics and Mechanics, 2010, v. 6 n. 8, p. 22-45en_US
dc.identifier.issn0973-0184-
dc.identifier.urihttp://hdl.handle.net/10722/139063-
dc.description.abstractA novel algorithm for generating two-dimensional finite element meshes has been presented in Part 1. Herein, new methodologies of incorporating point and line constraints into an existing planar mesh are developed. Unlike the conventional method of applying local re-triangulation to the areas affected by the constraints, the proposed method employs a combination of nodal repositioning and nodal insertion to accommodate the constraints so as to maximise the shape quality of the resulting mesh. The method has the major advantage that it is adaptive to the results of analysis and hence even new constraints emerging during the analysis may be incorporated. When new nodes are inserted, they are assigned node numbers close to those of the nodes connected to them to minimise the increase in bandwidth and, in order to avoid conflicting numbers, the nodes affected are renumbered by shifting their numbers upwards. After accommodating the constraints, mesh smoothing may be applied to further improve the shape quality. Applications of the method in computational mechanics are discussed and examples presented to illustrate its versatility and performance.-
dc.languageengen_US
dc.publisherGBS Publishers & Distributors. The Journal's web site is located at http://ijamm.bc.cityu.edu.hk/ijamm/wp_home.asp-
dc.relation.ispartofInternational Journal of Applied Mathematics and Mechanicsen_US
dc.subjectDiscrete crack modelling-
dc.subjectMesh generation-
dc.subjectMesh smoothing-
dc.titleAdaptive constrained mesh generation: part 2 - accommodation of constraintsen_US
dc.typeArticleen_US
dc.identifier.emailKwan, AKH: khkwan@hkucc.hku.hken_US
dc.identifier.emailNg, PL: irdngpl@hku.hk, irdngpl@gmail.comen_US
dc.identifier.authorityKwan, AKH=rp00127en_US
dc.description.naturelink_to_OA_fulltext-
dc.identifier.hkuros193731en_US
dc.identifier.volume6en_US
dc.identifier.issue8en_US
dc.identifier.spage22en_US
dc.identifier.epage45en_US
dc.publisher.placeIndia-

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