Local dual contributions: representing dual surfaces for block meshing

In this work we present a tool based on the new concept of local dual contributions for directly representing the topology and the approximated geometry of the dual of a block mesh. This tool allows us to obtain a valid block decomposition of a given geometry without a previous discretization of its...

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Detalles Bibliográficos
Autores: Roca Navarro, Francisco Javier, Sarrate Ramos, Josep|||0000-0003-0182-934X
Tipo de recurso: artículo
Fecha de publicación:2010
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:2117/10224
Acceso en línea:https://hdl.handle.net/2117/10224
https://dx.doi.org/10.1002/nme.2852
Access Level:acceso abierto
Palabra clave:Finite element method
mesh generation
dual
block decomposition
hexahedra
quadrilaterals
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Descripción
Sumario:In this work we present a tool based on the new concept of local dual contributions for directly representing the topology and the approximated geometry of the dual of a block mesh. This tool allows us to obtain a valid block decomposition of a given geometry without a previous discretization of its boundary. Specifically, our tool is composed of a hierarchical scheme and a set of matching rules that explicitly insert descriptions of dual surfaces and handle their intersections. That is, the proposed tool generates a dual of the block mesh with intersections of the proper multiplicity without gaps and which respects the boundary features of the domain. Finally, we present several examples that illustrate the applicability of the tool.