Treffer: Incorporating curvature to the boundary of linear and highorder meshes when a target geometry is unavailable

Title:
Incorporating curvature to the boundary of linear and highorder meshes when a target geometry is unavailable
Authors:
Jiménez Ramos, Albert
Contributors:
Barcelona Supercomputing Center, Gargallo Peiró, Abel, Roca, Xevi
Publisher Information:
Universitat Politècnica de Catalunya
Publication Year:
2018
Collection:
Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge
Subject Terms:
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica, Numerical analysis, High-order mesh generation, Subdivision volume, Curved meshing, Anàlisi numèrica, Classificació AMS::65 Numerical analysis::65D Numerical approximation and computational geometry
Document Type:
Dissertation master thesis
File Description:
application/pdf
Language:
English
Relation:
http://hdl.handle.net/2117/123488
Availability:
http://hdl.handle.net/2117/123488
Rights:
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ ; Open Access
Accession Number:
edsbas.3060062D
Database:
BASE

Weitere Informationen

Barcelona Supercomputing Center ; In this work, two new methods are presented: first, a given linear tetrahedral volume mesh is refined in such a way that its boundary tends to an almost everywhere C^2-continuous surface, and second, a curved high-order tetrahedral mesh which boundary approximates an almost everywhere C^2 surface is generated from a linear tetrahedral mesh. The aim of these curved meshes is to provide an almost everywhere C^2 smooth parametrization of curved boundaries suitable for finite element analysis with unstructured high-order methods. To illustrate the applicability of the methods, several curved high-order volume meshes have been generated from linear meshes obtained by digitizing real volumes.