Simultaneous untangling and smoothing of quadrilateral and hexahedral meshes using an object-oriented framework
In this work, we present a simultaneous untangling and smoothing technique for quadrilateral and hexahedral meshes. The algorithm iteratively improves a quadrilateral or hexahedral mesh by minimizing an objective function defined in terms of a regularized algebraic distortion measure of the elements...
| Autores: | , , , , |
|---|---|
| Tipo de documento: | artigo |
| Data de publicação: | 2015 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/27299 |
| Acesso em linha: | https://hdl.handle.net/2117/27299 https://dx.doi.org/10.1016/j.advengsoft.2014.09.021 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Numerical grid generation (Numerical analysis) Mesh generation Hexahedral mesh Quality measure Mesh smoothing Mesh untangling Object-oriented framework TETRAHEDRAL MESH CONDITION NUMBER JACOBIAN MATRIX QUALITY METRICS ELEMENT MESHES OPTIMIZATION ALGORITHM GENERATION DECOMPOSITION IMPROVEMENT Elements finits, Mètode dels Anàlisi numèrica Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Resumo: | In this work, we present a simultaneous untangling and smoothing technique for quadrilateral and hexahedral meshes. The algorithm iteratively improves a quadrilateral or hexahedral mesh by minimizing an objective function defined in terms of a regularized algebraic distortion measure of the elements. We propose several techniques to improve the robustness and the computational efficiency of the optimization algorithm. In addition, we have adopted an object-oriented paradigm to create a common framework to smooth meshes composed by any type of elements, and using different minimization techniques. Finally, we present several examples to show that the proposed technique obtains valid meshes composed by high-quality quadrilaterals and hexahedra, even when the initial meshes contain a large number of tangled elements. |
|---|