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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:252

Article

Xu, Gang^1,2  Mourrain, Bernard²  Duvigneau, Regis³  Galligo, Andre⁴ 

[1] Hangzhou Dianzi Univ, Coll Comp Sci, Hangzhou 310018, Peoples R China

[2] INRIA Sophia Antipolis, Galaad, F-06902 Paris, France

[3] INRIA Sophia Antipolis, OPALE, F-06902 Paris, France

[4] Univ Nice Sophia Antipolis, F-06108 Nice 02, France

关键词: Isogeometric analysis;    Grid generation;    Harmonic mapping;    Variational method;    Analysis-suitable parameterization;   

DOI  :  10.1016/j.jcp.2013.06.029

来源: Elsevier

【 摘 要 】

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 focuses 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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free