Unstructured and semi-structured hexahedral mesh generation methods

Discretization techniques such as the finite element method, the finite volume method or the discontinuous Galerkin method are the most used simulation techniques in ap- plied sciences and technology. These methods rely on a spatial discretization adapted to the geometry and to the prescribed distri...

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Detalles Bibliográficos
Autores: Sarrate Ramos, Josep|||0000-0003-0182-934X, Ruiz-Gironés, Eloi, Roca Navarro, Francisco Javier
Tipo de recurso: artículo
Fecha de publicación:2014
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:2117/27311
Acceso en línea:https://hdl.handle.net/2117/27311
Access Level:acceso abierto
Palabra clave:Geometry, Algebraic
mesh generation
quadrilateral mesh
hexahedral mesh
unstructured mesh
Geometria algebraica
14Q Computational aspects in algebraic geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica
Descripción
Sumario:Discretization techniques such as the finite element method, the finite volume method or the discontinuous Galerkin method are the most used simulation techniques in ap- plied sciences and technology. These methods rely on a spatial discretization adapted to the geometry and to the prescribed distribution of element size. Several fast and robust algorithms have been developed to generate triangular and tetrahedral meshes. In these methods local connectivity modifications are a crucial step. Nevertheless, in hexahedral meshes the connectivity modifications propagate through the mesh. In this sense, hexahedral meshes are more constrained and therefore, more difficult to gener- ate. However, in many applications such as boundary layers in computational fluid dy- namics or composite material in structural analysis hexahedral meshes are preferred. In this work we present a survey of developed methods for generating structured and unstructured hexahedral meshes.