Discretization of the Region of Interest

[EN]The meccano method was recently introduced to construct simultaneously tetrahedral meshes and volumetric parameterizations of solids. The method requires the information of the solid geometry that is defined by its surface, a meccano, i.e., an outline of the solid defined by connected polyhedral...

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Detalles Bibliográficos
Autores: Cascón Barbero, José Manuel, Escobar, José María, Montenegro Armas, Rafael
Tipo de recurso: capítulo de libro
Fecha de publicación:2018
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/138170
Acceso en línea:http://hdl.handle.net/10366/138170
Access Level:acceso abierto
Palabra clave:Meccano method
Tetrahedral meshes
Volumetric parameterizations of solids
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spelling Discretization of the Region of InterestCascón Barbero, José ManuelEscobar, José MaríaMontenegro Armas, RafaelMeccano methodTetrahedral meshesVolumetric parameterizations of solids[EN]The meccano method was recently introduced to construct simultaneously tetrahedral meshes and volumetric parameterizations of solids. The method requires the information of the solid geometry that is defined by its surface, a meccano, i.e., an outline of the solid defined by connected polyhedral pieces, and a tolerance that fixes the desired approximation of the solid surface. The method builds an adaptive tetrahedral mesh of the solid (physical domain) as a deformation of an appropriate tetrahedral mesh of the meccano (parametric domain). The main stages of the procedure involve an admissible mapping between the meccano and the solid boundaries, the nested Kossaczký’s refinement, and our simultaneous untangling and smoothing algorithm. In this chapter, we focus on the application of the method to build tetrahedral meshes over complex terrain, that is interesting for simulation of environmental processes. A digital elevation map of the terrain, the height of the domain, and the required orography approximation are given as input data. In addition, the geometry of buildings or stacks can be considered. In these applications, we have considered a simple cuboid as meccano.Ministerio de Economía y Competitividad, Gobierno de España; Fondos FEDER; Departamento de Educación, Junta de Castilla y León; CONACYT-SENER, Fondo Sectorial CONACYT SENER HIDROCARBUROS.Springer Science+Business Media (Berlín, Alemania)201820182018info:eu-repo/semantics/bookPartapplication/pdfhttp://hdl.handle.net/10366/138170reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésGreen Energy and TechnologyCTM2014- 55014-C3-1-RCTM2014-55014-C3-3-RSA020U16163723Attribution-NonCommercial-NoDerivs 3.0 Unportedhttps://creativecommons.org/licenses/by-nc-nd/3.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1381702026-06-07T06:28:51Z
dc.title.none.fl_str_mv Discretization of the Region of Interest
title Discretization of the Region of Interest
spellingShingle Discretization of the Region of Interest
Cascón Barbero, José Manuel
Meccano method
Tetrahedral meshes
Volumetric parameterizations of solids
title_short Discretization of the Region of Interest
title_full Discretization of the Region of Interest
title_fullStr Discretization of the Region of Interest
title_full_unstemmed Discretization of the Region of Interest
title_sort Discretization of the Region of Interest
dc.creator.none.fl_str_mv Cascón Barbero, José Manuel
Escobar, José María
Montenegro Armas, Rafael
author Cascón Barbero, José Manuel
author_facet Cascón Barbero, José Manuel
Escobar, José María
Montenegro Armas, Rafael
author_role author
author2 Escobar, José María
Montenegro Armas, Rafael
author2_role author
author
dc.subject.none.fl_str_mv Meccano method
Tetrahedral meshes
Volumetric parameterizations of solids
topic Meccano method
Tetrahedral meshes
Volumetric parameterizations of solids
description [EN]The meccano method was recently introduced to construct simultaneously tetrahedral meshes and volumetric parameterizations of solids. The method requires the information of the solid geometry that is defined by its surface, a meccano, i.e., an outline of the solid defined by connected polyhedral pieces, and a tolerance that fixes the desired approximation of the solid surface. The method builds an adaptive tetrahedral mesh of the solid (physical domain) as a deformation of an appropriate tetrahedral mesh of the meccano (parametric domain). The main stages of the procedure involve an admissible mapping between the meccano and the solid boundaries, the nested Kossaczký’s refinement, and our simultaneous untangling and smoothing algorithm. In this chapter, we focus on the application of the method to build tetrahedral meshes over complex terrain, that is interesting for simulation of environmental processes. A digital elevation map of the terrain, the height of the domain, and the required orography approximation are given as input data. In addition, the geometry of buildings or stacks can be considered. In these applications, we have considered a simple cuboid as meccano.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/138170
url http://hdl.handle.net/10366/138170
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Green Energy and Technology
CTM2014- 55014-C3-1-R
CTM2014-55014-C3-3-R
SA020U16
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 Springer Science+Business Media (Berlín, Alemania)
publisher.none.fl_str_mv Springer Science+Business Media (Berlín, Alemania)
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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