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oai:recercat.cat:2117/273112025-07-16T23:59:29Zcom_2072_1033col_2072_452950

Unstructured and semi-structured hexahedral mesh generation methods Sarrate Ramos, Josep Ruiz-Gironés, Eloi Roca Navarro, Francisco Javier Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica Geometry, Algebraic mesh generation quadrilateral mesh hexahedral mesh unstructured mesh Geometria algebraica 14Q Computational aspects in algebraic geometry 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. Peer Reviewed Postprint (published version) 2014 Article http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain Saxe-Coburg