Distortion and quality measures for validating and generating high-order tetrahedral meshes
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...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/78140 |
| Acceso en línea: | https://hdl.handle.net/2117/78140 https://dx.doi.org/10.1007/s00366-014-0370-1 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 3D Anàlisi numèrica Classificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica |
| Sumario: | 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. |
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