Gruau, Cyril (2004) Génération de métriques pour adaptation anisotrope de maillages: applications à la mise en forme des matériaux. PhD thesis Mécanique numérique, ENSMP - CEMEF Centre de Mise en Forme des Matériaux, ENSMP.
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Alternative Locations: http://www-cemef.cma.fr/fr/presentation/pagesperso/cg-promo2001/
Abstract
Computational mechanics softwares usually encounter three major problems in mesh generation: thin and curved geometry treatment, meshing for simulation involving several objects and boundary layer improvement.
In this work, we introduce the notion of natural metric in order to place several element layers through the thickness of thin and curved geometries. A suitable anisotropic mesh for numerical simulation is thus automatically adapted by a topological optimization strategy.
When the mesh needs to be enriched around the interfaces between the different objects involved in a multidomain simulation, we propose a second metric that refines the elements around such surfaces in an anisotropic way.
Furthermore, this multidomain metric can be used in boundary layer generation, wich improves the meshes obtained with natural metric. Finally, the anisotropy of numerically computed fields and the uniformisation of an a posteriori error indicator can be exploited to correct natural metric.
All these developments are illustrated on 3D complex simulations in material forming, and especially in polymer injection modelling, using Rem3D
| Item Type: | PhD Thesis (PhD) |
|---|---|
| Thesis Supervisor: | Coupez, Thierry and Agassant, Jean-François |
| Date: | December 2004 |
| Board of examiners: | Rascle, Michel and George, Paul-Louis and Hecht, Frédéric and Bonneau, Eric |
| Discipline: | Mécanique numérique |
| Collection (Fonds): | ENSMP |
| Institution: | ENSMP |
| Department: | ENSMP - CEMEF Centre de Mise en Forme des Matériaux |
| Subjects: | 1. Mathematics and Applications |
| Uncontrolled Keywords: | Unstrutured mesh, Anisotropic adaptation, Natural metric, Elliptic interpolation, Multidomain, Tensorial product, Vexelisation, Error estimation, Rem3D simulation, Maillage non structuré, Adaptation anisotrope, Métrique naturelle, Interpolation elliptique, Multidomaine, Produit tensoriel, Voxélisation, Estimation d'erreur, simulation Rem3D |
| ID Code: | 989 |
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| Deposited By: | Francine Masson |
| Deposited On: | 25 January 2005 |
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