Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Journal of Computational Physics Année : 2013

Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method

Résumé

In isogeometric analysis, parameterization of computational domain has great effects as mesh generation in finite element analysis. In this paper, based on the concept of harmonic mapping from the computational domain to parametric domain, a variational harmonic approach is proposed to construct analysis-suitable parameterization of computational domain from CAD boundary for 2D and 3D isogeometric applications. Different from the previous elliptic mesh generation method in finite element analysis, the proposed method focus on isogeometric version, and converts the elliptic PDE into a nonlinear optimization problem, in which a regular term is integrated into the optimization formulation to achieve more uniform and orthogonal iso-parametric structure near convex (concave) parts of the boundary. Several examples are presented to show the efficiency of the proposed method in 2D and 3D isogeometric analysis.
Fichier principal
Vignette du fichier
JCPrevised.pdf (1.3 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00836413 , version 1 (20-06-2013)

Identifiants

Citer

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method. Journal of Computational Physics, 2013, 252, pp.275-289. ⟨10.1016/j.jcp.2013.06.029⟩. ⟨hal-00836413⟩
321 Consultations
434 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More