High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation

We propose a 3D mesh curving method that converts a straight-sided mesh to an optimal-quality curved high-order mesh that interpolates a CAD boundary representation. The main application of this method is the generation of discrete approximations of curved domains that are valid for simulation analy...

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Detalles Bibliográficos
Autores: Ruiz-Gironés, Eloi, Roca, Xevi, Sarrate, Jose
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/86072
Acceso en línea:https://hdl.handle.net/2117/86072
https://dx.doi.org/10.1016/j.cad.2015.06.011
Access Level:acceso abierto
Palabra clave:3D modeling
Geometric analysis
Curved high-order meshing
Mesh smoothing
Mesh untangling
Mesh quality
CAD interpolation
Hierarchical minimization
Models geomètrics
Àrees temàtiques de la UPC::Enginyeria electrònica
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spelling High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representationRuiz-Gironés, EloiRoca, XeviSarrate, Jose3D modelingGeometric analysisCurved high-order meshingMesh smoothingMesh untanglingMesh qualityCAD interpolationHierarchical minimizationModels geomètricsÀrees temàtiques de la UPC::Enginyeria electrònicaWe propose a 3D mesh curving method that converts a straight-sided mesh to an optimal-quality curved high-order mesh that interpolates a CAD boundary representation. The main application of this method is the generation of discrete approximations of curved domains that are valid for simulation analysis with unstructured high-order methods. We devise the method as follows. First, the boundary of a straight-sided high-order mesh is curved to match the curves and surfaces of a CAD model. Second, the method minimizes the volume mesh distortion with respect to the coordinates of the inner nodes and the parametric coordinates of the curve and surface nodes. The proposed minimization features untangling capabilities and therefore, it repairs the invalid elements that may arise from the initial curving step. Compared with other mesh curving methods, the only goal of the proposed residual system is to minimize the volume mesh distortion. Furthermore, it is less constrained since the boundary nodes are free to slide on the CAD curves and surfaces. Hence, the proposed method is well suited to generate curved high-order meshes of optimal quality from CAD models that contain thin parts or high-curvature entities. To illustrate these capabilities, we generate several curved high-order meshes from CAD models with the implementation detailed in this work. Specifically, we detail a node-by-node non-linear iterative solver that minimizes the proposed objective function in a block Gauss–Seidel manner.This research was partially supported by CONACYT-SENER (‘‘Fondo Sectorial CONACYT SENER HIDROCARBUROS’’, grant contract 163723) and by the Spanish Ministerio de Economía y Competitividad under grant CTM2014-55014-C3-3-R.The work of the second author was partially supported by the Boeing Co. and US Air Force Office of Scientific Research and European Commis- sion through the Boeing–MIT Alliance and Computational Math Program and Marie Skłodowska-Curie Actions (HiPerMeGaFlows project),respectively.Peer ReviewedElsevier20162016-03-0120162016-04-21journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/86072https://dx.doi.org/10.1016/j.cad.2015.06.011reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengMinisterio de Economía y Competitividad http://doi.org/10.13039/501100003329 CTM2014-55014-C3-3-R INTEGRACION DE NUEVAS METODOLOGIAS PARA LA PLANIFICACION Y ANALISIS MEDIOAMBIENTAL DE YACIMIENTOS PETROLIFEROSEuropean Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 658853 High-Performance Curved Meshing and Unstructured High-Order Galerkin Solvers for High-Fidelity Flow Simulationopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 4.0 International Licensehttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/860722026-05-27T15:37:01Z
dc.title.none.fl_str_mv High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation
title High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation
spellingShingle High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation
Ruiz-Gironés, Eloi
3D modeling
Geometric analysis
Curved high-order meshing
Mesh smoothing
Mesh untangling
Mesh quality
CAD interpolation
Hierarchical minimization
Models geomètrics
Àrees temàtiques de la UPC::Enginyeria electrònica
title_short High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation
title_full High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation
title_fullStr High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation
title_full_unstemmed High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation
title_sort High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation
dc.creator.none.fl_str_mv Ruiz-Gironés, Eloi
Roca, Xevi
Sarrate, Jose
author Ruiz-Gironés, Eloi
author_facet Ruiz-Gironés, Eloi
Roca, Xevi
Sarrate, Jose
author_role author
author2 Roca, Xevi
Sarrate, Jose
author2_role author
author
dc.subject.none.fl_str_mv 3D modeling
Geometric analysis
Curved high-order meshing
Mesh smoothing
Mesh untangling
Mesh quality
CAD interpolation
Hierarchical minimization
Models geomètrics
Àrees temàtiques de la UPC::Enginyeria electrònica
topic 3D modeling
Geometric analysis
Curved high-order meshing
Mesh smoothing
Mesh untangling
Mesh quality
CAD interpolation
Hierarchical minimization
Models geomètrics
Àrees temàtiques de la UPC::Enginyeria electrònica
description We propose a 3D mesh curving method that converts a straight-sided mesh to an optimal-quality curved high-order mesh that interpolates a CAD boundary representation. The main application of this method is the generation of discrete approximations of curved domains that are valid for simulation analysis with unstructured high-order methods. We devise the method as follows. First, the boundary of a straight-sided high-order mesh is curved to match the curves and surfaces of a CAD model. Second, the method minimizes the volume mesh distortion with respect to the coordinates of the inner nodes and the parametric coordinates of the curve and surface nodes. The proposed minimization features untangling capabilities and therefore, it repairs the invalid elements that may arise from the initial curving step. Compared with other mesh curving methods, the only goal of the proposed residual system is to minimize the volume mesh distortion. Furthermore, it is less constrained since the boundary nodes are free to slide on the CAD curves and surfaces. Hence, the proposed method is well suited to generate curved high-order meshes of optimal quality from CAD models that contain thin parts or high-curvature entities. To illustrate these capabilities, we generate several curved high-order meshes from CAD models with the implementation detailed in this work. Specifically, we detail a node-by-node non-linear iterative solver that minimizes the proposed objective function in a block Gauss–Seidel manner.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-03-01
2016
2016-04-21
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/86072
https://dx.doi.org/10.1016/j.cad.2015.06.011
url https://hdl.handle.net/2117/86072
https://dx.doi.org/10.1016/j.cad.2015.06.011
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://doi.org/10.13039/501100003329 CTM2014-55014-C3-3-R INTEGRACION DE NUEVAS METODOLOGIAS PARA LA PLANIFICACION Y ANALISIS MEDIOAMBIENTAL DE YACIMIENTOS PETROLIFEROS
European Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 658853 High-Performance Curved Meshing and Unstructured High-Order Galerkin Solvers for High-Fidelity Flow Simulation
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 4.0 International License
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 4.0 International License
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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