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dc.contributorSarrate Ramos, Josep
dc.contributor.authorRivas Guerra, César Augusto
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractCurrently, there is not a general method such that any given geometry can generate a mesh with elements of hexahedral type. However, there are several methods used to create the numerical discretization for certain types of geometries. Unfortunately, these methods could generate meshes with highly distorted elements and in some cases the mesh obtained may include tangled elements. Therefore, it is of most importance to develop a procedure that could smooth and untangle hexahedral meshes. This work will provide a method that improves the quality of unstructured meshes and, if required, untangle the inverted elements by the minimization of a smoothed objective function. This objective function is based on the shape quality index of the elements or in the conditioning number of the shape matrix. To illustrate the applica- tion of the proposed smoother, several example of tangled meshes are presented, show-ing how the smoother untangles and smoothes quadrilateral and hexahedral meshes. A comparison of the performance between several minimization methods is presented. Finally, the robustness of smoother is compared to one of the most used smoothing methods.
dc.publisherUniversitat Politècnica de Catalunya
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Enginyeria civil
dc.subject.lcshFinite element method
dc.subject.otherFinite elements: Minimization methods
dc.subject.otherAdaptive meshes
dc.subject.otherHexahedral mesh generation
dc.subject.otherHexahedral mesh untangling
dc.titleSimultaneous untangling and smoothing of hexahedral meshnes
dc.typeMaster thesis
dc.subject.lemacElements finits, Mètode dels
dc.rights.accessOpen Access
dc.audience.mediatorEscola Tècnica Superior d'Enginyers de Camins, Canals i Ports de Barcelona

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Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain