Spline parameterization method for 2D and 3D geometries based on T-mesh optimization

[EN]We present a method to obtain high quality spline parameterization of 2D and 3D geometries for their use in isogeometric analysis. As input data, the proposed method demands a boundary representation of the domain, and it constructs automatically a spline transformation between the physical and...

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Detalhes bibliográficos
Autores: López González, José Iván, Brovka, Marina, Escobar, José María, Montenegro Armas, Rafael, Socorro-Marrero, Guillermo Valentín
Tipo de documento: artigo
Data de publicação:2017
País:España
Recursos:Universidad de Salamanca (USAL)
Repositório:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/138165
Acesso em linha:http://hdl.handle.net/10366/138165
Access Level:Acceso aberto
Palavra-chave:Spline parameterization
Isogeometric analysis
T-mesh optimization
Hexahedral mesh optimization
Shape quality metric
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spelling Spline parameterization method for 2D and 3D geometries based on T-mesh optimizationLópez González, José IvánBrovka, MarinaEscobar, José MaríaMontenegro Armas, RafaelSocorro-Marrero, Guillermo ValentínSpline parameterizationIsogeometric analysisT-mesh optimizationHexahedral mesh optimizationShape quality metric[EN]We present a method to obtain high quality spline parameterization of 2D and 3D geometries for their use in isogeometric analysis. As input data, the proposed method demands a boundary representation of the domain, and it constructs automatically a spline transformation between the physical and parametric domains. Parameterization of the interior of the object is obtained by deforming isomorphically an adapted parametric T-mesh onto the physical domain by applying a T-mesh untangling and smoothing procedure, which is the key of the method. Mesh optimization is based on the mean ratio shape quality measure. The spline representation of the geometry is calculated by imposing interpolation conditions using the data provided by one-to-one correspondence between the meshes of the parametric and physical domains. We give a detailed description of the proposed technique and show some examples. Also, we present some examples of the application of isogeometric analysis in geometries parameterized with our method.Secretaría de Estado de Universidades e Investigación del Ministerio de Economía y Competitividad del Gobierno de España y fondos FEDER; Programa de FPU 12/00202 del Ministerio de Educación, Cultura y Deporte; Programa de FPI propio de la Universidad de Las Palmas de Gran Canaria201820182017info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10366/138165reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésCTM2014-55014-C3-1-RAttribution-NonCommercial-NoDerivs 3.0 Unportedhttps://creativecommons.org/licenses/by-nc-nd/3.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1381652026-06-07T06:28:51Z
dc.title.none.fl_str_mv Spline parameterization method for 2D and 3D geometries based on T-mesh optimization
title Spline parameterization method for 2D and 3D geometries based on T-mesh optimization
spellingShingle Spline parameterization method for 2D and 3D geometries based on T-mesh optimization
López González, José Iván
Spline parameterization
Isogeometric analysis
T-mesh optimization
Hexahedral mesh optimization
Shape quality metric
title_short Spline parameterization method for 2D and 3D geometries based on T-mesh optimization
title_full Spline parameterization method for 2D and 3D geometries based on T-mesh optimization
title_fullStr Spline parameterization method for 2D and 3D geometries based on T-mesh optimization
title_full_unstemmed Spline parameterization method for 2D and 3D geometries based on T-mesh optimization
title_sort Spline parameterization method for 2D and 3D geometries based on T-mesh optimization
dc.creator.none.fl_str_mv López González, José Iván
Brovka, Marina
Escobar, José María
Montenegro Armas, Rafael
Socorro-Marrero, Guillermo Valentín
author López González, José Iván
author_facet López González, José Iván
Brovka, Marina
Escobar, José María
Montenegro Armas, Rafael
Socorro-Marrero, Guillermo Valentín
author_role author
author2 Brovka, Marina
Escobar, José María
Montenegro Armas, Rafael
Socorro-Marrero, Guillermo Valentín
author2_role author
author
author
author
dc.subject.none.fl_str_mv Spline parameterization
Isogeometric analysis
T-mesh optimization
Hexahedral mesh optimization
Shape quality metric
topic Spline parameterization
Isogeometric analysis
T-mesh optimization
Hexahedral mesh optimization
Shape quality metric
description [EN]We present a method to obtain high quality spline parameterization of 2D and 3D geometries for their use in isogeometric analysis. As input data, the proposed method demands a boundary representation of the domain, and it constructs automatically a spline transformation between the physical and parametric domains. Parameterization of the interior of the object is obtained by deforming isomorphically an adapted parametric T-mesh onto the physical domain by applying a T-mesh untangling and smoothing procedure, which is the key of the method. Mesh optimization is based on the mean ratio shape quality measure. The spline representation of the geometry is calculated by imposing interpolation conditions using the data provided by one-to-one correspondence between the meshes of the parametric and physical domains. We give a detailed description of the proposed technique and show some examples. Also, we present some examples of the application of isogeometric analysis in geometries parameterized with our method.
publishDate 2017
dc.date.none.fl_str_mv 2017
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/138165
url http://hdl.handle.net/10366/138165
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv CTM2014-55014-C3-1-R
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivs 3.0 Unported
https://creativecommons.org/licenses/by-nc-nd/3.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivs 3.0 Unported
https://creativecommons.org/licenses/by-nc-nd/3.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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