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Article: Adaptive constrained mesh generation: part 1 - stripwise advancing front technique

TitleAdaptive constrained mesh generation: part 1 - stripwise advancing front technique
Authors
KeywordsAdvancing front
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. 1-21 How to Cite?
AbstractA study is conducted on the adaptive constrained mesh generation for two-dimensional finite element analysis, where the mesh can be adapted to point and line constraints that evolve during the analysis process. As part of the study, a new mesh generation algorithm is developed. It first divides the entire domain into parallel strips, then generates interior nodes at equidistance on the strip boundaries, and lastly applies the advancing front technique to each strip in turn with additional interior nodes put in only when required at optimum locations to generate a triangular mesh whose interior nodes are mostly on a regular grid. Nodes are numbered orderly on a strip-by-strip basis, which automatically ensures minimum bandwidth and completely eliminates the need for node renumbering. When necessary, the mesh quality is enhanced by a newly developed mesh smoothing technique of recursively moving each node to its optimum location through multi-directional searching and marching. The methodologies developed herein are applicable to arbitrary two-dimensional domains, including convex, non-convex and multi-connected ones, as will be demonstrated by examples in the paper. The techniques of adapting meshes to accommodate constraints are presented in the accompanying paper (i.e. Part 2).
Persistent Identifierhttp://hdl.handle.net/10722/139062
ISSN

 

DC FieldValueLanguage
dc.contributor.authorNg, PLen_US
dc.contributor.authorKwan, AKHen_US
dc.contributor.authorLeung, AYTen_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. 1-21en_US
dc.identifier.issn0973-0184-
dc.identifier.urihttp://hdl.handle.net/10722/139062-
dc.description.abstractA study is conducted on the adaptive constrained mesh generation for two-dimensional finite element analysis, where the mesh can be adapted to point and line constraints that evolve during the analysis process. As part of the study, a new mesh generation algorithm is developed. It first divides the entire domain into parallel strips, then generates interior nodes at equidistance on the strip boundaries, and lastly applies the advancing front technique to each strip in turn with additional interior nodes put in only when required at optimum locations to generate a triangular mesh whose interior nodes are mostly on a regular grid. Nodes are numbered orderly on a strip-by-strip basis, which automatically ensures minimum bandwidth and completely eliminates the need for node renumbering. When necessary, the mesh quality is enhanced by a newly developed mesh smoothing technique of recursively moving each node to its optimum location through multi-directional searching and marching. The methodologies developed herein are applicable to arbitrary two-dimensional domains, including convex, non-convex and multi-connected ones, as will be demonstrated by examples in the paper. The techniques of adapting meshes to accommodate constraints are presented in the accompanying paper (i.e. Part 2).-
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.subjectAdvancing front-
dc.subjectMesh generation-
dc.subjectMesh smoothing-
dc.titleAdaptive constrained mesh generation: part 1 - stripwise advancing front techniqueen_US
dc.typeArticleen_US
dc.identifier.emailNg, PL: irdngpl@hku.hken_US
dc.identifier.emailKwan, AKH: khkwan@hkucc.hku.hken_US
dc.identifier.authorityKwan, AKH=rp00127en_US
dc.description.naturelink_to_OA_fulltext-
dc.identifier.hkuros193730en_US
dc.identifier.volume6en_US
dc.identifier.issue8en_US
dc.identifier.spage1en_US
dc.identifier.epage21en_US
dc.publisher.placeIndia-

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