{"id":95575,"date":"2018-03-11T10:15:36","date_gmt":"2018-03-11T10:15:36","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/paving-the-path-towards-automatic-hexahedral-mesh-generation\/"},"modified":"2018-03-11T10:15:36","modified_gmt":"2018-03-11T10:15:36","slug":"paving-the-path-towards-automatic-hexahedral-mesh-generation","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/geometria\/paving-the-path-towards-automatic-hexahedral-mesh-generation\/","title":{"rendered":"Paving the path towards automatic hexahedral mesh generation"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Javier Roca Navarro <\/strong><\/h2>\n<p>This thesis deals with the development of hexahedral mesh generation technology. The process of generating hexahedral meshes is not fully  automatic and it is a time consuming task. Therefore, it is important to develop tools that facilitate the generation of hexahedral meshes. To this end,  a mesh projection method, a sweeping technique, a block-meshing algorithm, and an interactive mesh generation environment are presented and  developed.     competitive implementations of the sweeping method use mesh projection techniques based on affine methods. Standard affine methods have  several drawbacks related to the statement of rank deficient sets of normal equations. To overcome these drawbacks a new affine method that  depends on two vector parameters is presented and analyzed. Moreover, an automatic procedure that selects these two vector parameters is  detailed. The resulting projection procedure preserves the shape of projected meshes. Then, this procedure is incorporated in a new sweeping tool.  this tool generates inner layers of nodes that preserve the curvature of the cap surfaces. The sweeping tool is able to mesh extrusion geometries  defined by non-linear sweeping trajectories, non-constant cross sections along the sweep axis, non-parallel cap surfaces, and cap surfaces with  different shape and curvature.    in the last decades, several general-purpose approaches to generate automatically hexahedral meshes have been proposed. However, a fast and  robust algorithm that automatically generates high-quality hexahedral meshes is not available. A novel approach for block meshing by representing  the geometry and the topology of a hexahedral mesh is presented. The block-meshing algorithm first generates an initial coarse mesh of tetrahedral  elements. Second, several planar polygons are added inside the elements of the initial coarse mesh. These polygons are referred as local dual  contributions and represent a discrete version of the dual of a hexahedral mesh. Finally, the dual representation is dualized to obtain the final block  mesh. The block-meshing algorithm is applied to mesh geometries that present different geometrical characteristics such as planar surfaces, curved  surfaces, thin configurations, holes, and vertices with valence greater than three.    meshes are usually generated with the help of interactive environments that integrate a cad interface and several meshing algorithms. An overview  of a new mesh generation environment focused in quadrilateral and hexahedral mesh generation is presented. This environment provides the  technology required to implement the hexahedral meshing techniques presented in this thesis.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Paving the path towards automatic hexahedral mesh generation<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Paving the path towards automatic hexahedral mesh generation <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Javier Roca Navarro <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 23\/07\/2009<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Jos\u00e9 Sarrate Ramos<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Huerta cerezuela <\/li>\n<li>  (vocal)<\/li>\n<li>  (vocal)<\/li>\n<li>  (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Javier Roca Navarro This thesis deals with the development of hexahedral mesh generation technology. The process [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[1191,16880,583,15596,13227],"tags":[30309,196557,196558],"class_list":["post-95575","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-construccion-de-algoritmos","category-geometria","category-politecnica-de-catalunya","category-simulacion","tag-antonio-huerta-cerezuela","tag-francisco-javier-roca-navarro","tag-jose-sarrate-ramos"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/95575","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=95575"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/95575\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=95575"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=95575"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=95575"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}