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dc.contributor.author Idelsohn, Sergio Rodolfo
dc.contributor.author Calvo, Nestor Alberto
dc.contributor.author Oñate, Eugenio
dc.date.available 2017-11-02T13:13:36Z
dc.date.issued 2003-12
dc.identifier.citation Idelsohn, Sergio Rodolfo; Calvo, Nestor Alberto; Oñate, Eugenio; Polyhedrization of an arbitrary 3D point set; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 192; 12-2003; 2649-2667
dc.identifier.issn 0045-7825
dc.identifier.uri http://hdl.handle.net/11336/27373
dc.description.abstract The extended Delaunay tessellation (EDT) is presented in this paper as the unique partition of a node set into polyhedral regions defined by nodes lying on the nearby Voronoï spheres. Until recently, all the FEM mesh generators were limited to the generation of tetrahedral or hexahedral elements (or triangular and quadrangular in 2D problems). The reason for this limitation was the lack of any acceptable shape function to be used in other kind of geometrical elements. Nowadays, there are several acceptable shape functions for a very large class of polyhedra. These new shape functions, together with the EDT, gives an optimal combination and a powerful tool to solve a large variety of physical problems by numerical methods. The domain partition into polyhedra presented here does not introduce any new node nor change any node position. This makes this process suitable for Lagrangian problems and meshless methods in which only the connectivity information is used and there is no need for any expensive smoothing process.Given a 3D point set, the problem of defining the volume associated, dividing it into a set of regions (elements) and defining a boundary surface is tackled. Several physical problems need to define volume domains, boundary surfaces and approximating functions from a given point distribution. This is for instance the case of particle methods, in which all the information is the particle positions and there are not boundary surfaces definition. Until recently, all the FEM mesh generators were limited to the generation of simple elements as tetrahedral or hexahedral elements (or triangular and quadrangular in 2D problems). The reason of this limitation was the lack of any acceptable shape function to be used in other kind of geometrical elements. Nowadays, there are several acceptable shape functions for a very large class of polyhedra. These new shape functions, together with a generalization of the Delaunay tessellation presented in this paper, gives an optimal marriage and a powerful tool to solve a large variety of physical problems by numerical methods. The domain partition into polyhedra presented here is not a standard mesh generation. The problem here is: for a given node distribution to find a suitable boundary surface and a suitable mesh to be used in the solution of a physical problem by a numerical method. To include new nodes or change their positions is not allowed.
dc.format application/pdf
dc.language.iso eng
dc.publisher Elsevier Science Sa
dc.rights info:eu-repo/semantics/restrictedAccess
dc.rights.uri https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject Delaunay
dc.subject Lagrangian formulations
dc.subject Particles methods
dc.subject Polyhedral mesh generation
dc.subject.classification Ingeniería Oceanográfica
dc.subject.classification Ingeniería del Medio Ambiente
dc.subject.classification INGENIERÍAS Y TECNOLOGÍAS
dc.title Polyhedrization of an arbitrary 3D point set
dc.type info:eu-repo/semantics/article
dc.type info:ar-repo/semantics/artículo
dc.type info:eu-repo/semantics/publishedVersion
dc.date.updated 2017-11-01T16:40:43Z
dc.journal.volume 192
dc.journal.pagination 2649-2667
dc.journal.pais Estados Unidos
dc.description.fil Fil: Idelsohn, Sergio Rodolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
dc.description.fil Fil: Calvo, Nestor Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
dc.description.fil Fil: Oñate, Eugenio. Universidad Politecnica de Catalunya; España
dc.journal.title Computer Methods in Applied Mechanics and Engineering
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0045782503002986
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/S0045-7825(03)00298-6


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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)