Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures

[EN]In this paper, we present a new method for inserting several triangulated surfaces into an existing tetrahedral mesh generated by the meccano method. The result is a conformal mesh where each inserted surface is approximated by a set of faces of the final tetrahedral mesh. First, the tetrahedral...

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Authors: Ruiz-Gironés, Eloi, Oliver, Albert, Socorro-Marrero, Guillermo Valentín, Cascón Barbero, José Manuel, Escobar, José María, Montenegro Armas, Rafael, Sarrate, Josep
Format: article
Publication Date:2017
Country:España
Institution:Universidad de Salamanca (USAL)
Repository:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/138160
Online Access:http://hdl.handle.net/10366/138160
Access Level:Open access
Keyword:Meccano method
Mesh untangling and smoothing
Surface insertion
Surface parameterization
Tetrahedral mesh generation
Volume parameterization
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spelling Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization proceduresRuiz-Gironés, EloiOliver, AlbertSocorro-Marrero, Guillermo ValentínCascón Barbero, José ManuelEscobar, José MaríaMontenegro Armas, RafaelSarrate, JosepMeccano methodMesh untangling and smoothingSurface insertionSurface parameterizationTetrahedral mesh generationVolume parameterization[EN]In this paper, we present a new method for inserting several triangulated surfaces into an existing tetrahedral mesh generated by the meccano method. The result is a conformal mesh where each inserted surface is approximated by a set of faces of the final tetrahedral mesh. First, the tetrahedral mesh is refined around the inserted surfaces to capture their geometric features. Second, each immersed surface is approximated by a set of faces from the tetrahedral mesh. Third, following a novel approach, the nodes of the approximated surfaces are mapped to the corresponding immersed surface. Fourth, we untangle and smooth the mesh by optimizing a regularized shape distortion measure for tetrahedral elements in which we move all the nodes of the mesh, restricting the movement of the edge and surface nodes along the corresponding entity they belong to. The refining process allows approximating the immersed surface for any initial meccano tetrahedral mesh. Moreover, the proposed projection method avoids computational expensive geometric projections. Finally, the applied simultaneous untangling and smoothing process delivers a high‐quality mesh and ensures that the immersed surfaces are interpolated. Several examples are presented to assess the properties of the proposed method.FEDER y Gobierno de España (Ministerio de Economía y Competitividad) y ondo Sectorial CONACYT SENER HIDROCARBUROSJohn Wiley & Sons, Ltd.201820182017info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10366/138160reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésCTM2014-55014-C3-1-RCTM2014- 55014-C3-3-R163723Attribution-NonCommercial-NoDerivs 3.0 Unportedhttps://creativecommons.org/licenses/by-nc-nd/3.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1381602026-06-07T06:28:51Z
dc.title.none.fl_str_mv Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures
title Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures
spellingShingle Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures
Ruiz-Gironés, Eloi
Meccano method
Mesh untangling and smoothing
Surface insertion
Surface parameterization
Tetrahedral mesh generation
Volume parameterization
title_short Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures
title_full Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures
title_fullStr Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures
title_full_unstemmed Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures
title_sort Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures
dc.creator.none.fl_str_mv Ruiz-Gironés, Eloi
Oliver, Albert
Socorro-Marrero, Guillermo Valentín
Cascón Barbero, José Manuel
Escobar, José María
Montenegro Armas, Rafael
Sarrate, Josep
author Ruiz-Gironés, Eloi
author_facet Ruiz-Gironés, Eloi
Oliver, Albert
Socorro-Marrero, Guillermo Valentín
Cascón Barbero, José Manuel
Escobar, José María
Montenegro Armas, Rafael
Sarrate, Josep
author_role author
author2 Oliver, Albert
Socorro-Marrero, Guillermo Valentín
Cascón Barbero, José Manuel
Escobar, José María
Montenegro Armas, Rafael
Sarrate, Josep
author2_role author
author
author
author
author
author
dc.subject.none.fl_str_mv Meccano method
Mesh untangling and smoothing
Surface insertion
Surface parameterization
Tetrahedral mesh generation
Volume parameterization
topic Meccano method
Mesh untangling and smoothing
Surface insertion
Surface parameterization
Tetrahedral mesh generation
Volume parameterization
description [EN]In this paper, we present a new method for inserting several triangulated surfaces into an existing tetrahedral mesh generated by the meccano method. The result is a conformal mesh where each inserted surface is approximated by a set of faces of the final tetrahedral mesh. First, the tetrahedral mesh is refined around the inserted surfaces to capture their geometric features. Second, each immersed surface is approximated by a set of faces from the tetrahedral mesh. Third, following a novel approach, the nodes of the approximated surfaces are mapped to the corresponding immersed surface. Fourth, we untangle and smooth the mesh by optimizing a regularized shape distortion measure for tetrahedral elements in which we move all the nodes of the mesh, restricting the movement of the edge and surface nodes along the corresponding entity they belong to. The refining process allows approximating the immersed surface for any initial meccano tetrahedral mesh. Moreover, the proposed projection method avoids computational expensive geometric projections. Finally, the applied simultaneous untangling and smoothing process delivers a high‐quality mesh and ensures that the immersed surfaces are interpolated. Several examples are presented to assess the properties of the proposed 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/10366/138160
url http://hdl.handle.net/10366/138160
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv CTM2014-55014-C3-1-R
CTM2014- 55014-C3-3-R
163723
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.publisher.none.fl_str_mv John Wiley & Sons, Ltd.
publisher.none.fl_str_mv John Wiley & Sons, Ltd.
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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