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Distortion and quality measures for validating and generating high-order tetrahedral meshes
Gargallo Peiró, Abel; Roca Navarro, Francisco Javier; Peraire Guitart, Jaume; Sarrate Ramos, Josep
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
A procedure to quantify the distortion (quality) of a high-order mesh composed of curved tetrahedral elements is presented. The proposed technique has two main applications. First, it can be used to check the validity and quality of a high-order tetrahedral mesh. Second, it allows the generation of curved meshes composed of valid and high-quality high-order tetrahedral elements. To this end, we describe a method to smooth and untangle high-order tetrahedral meshes simultaneously by minimizing the proposed mesh distortion. Moreover, we present a -continuation procedure to improve the initial configuration of a high-order mesh for the optimization process. Finally, we present several results to illustrate the two main applications of the proposed technique.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
Numerical analysis
CAD
High-order unstructured methods
Curved high-order meshes
Mesh validity
Mesh quality
Mesh optimization
FINITE-ELEMENT TRANSFORMATIONS
CURVED DOMAINS
INITIAL MESHES
METRICS
SURFACE
ERROR
CAD
3D
Anàlisi numèrica
Classificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/submittedVersion
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