期刊
COMPUTER-AIDED DESIGN
卷 45, 期 2, 页码 395-404出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.cad.2012.10.022
关键词
Isogeometric analysis; Volume parameterization; Multi-block computational domain; Heat conduction
资金
- European Union [SCP8-218536]
- National Nature Science Foundation of China [61004117, 61272390]
- Zhejiang Provincial Natural Science Foundation of China [Y1090718]
- Defense Industrial Technology Development Program [A3920110002]
- Scientific Starting Foundation of Hangzhou Dianzi University [KYS055611029]
- State Key Lab of CAD&CG, Zhejiang University [A1105]
Parameterization of the computational domain is a key step in isogeometric analysis just as mesh generation is in finite element analysis. In this paper, we study the volume parameterization problem of the multi-block computational domain in an isogeometric version, i.e., how to generate analysis-suitable parameterization of the multi-block computational domain bounded by B-spline surfaces. Firstly, we show how to find good volume parameterization of the single-block computational domain by solving a constraint optimization problem, in which the constraint condition is the injectivity sufficient conditions of B-spline volume parameterization, and the optimization term is the minimization of quadratic energy functions related to the first and second derivatives of B-spline volume parameterization. By using this method, the resulting volume parameterization has no self-intersections, and the isoparametric structure has good uniformity and orthogonality. Then we extend this method to the multi-block case, in which the continuity condition between the neighbor B-spline volumes should be added to the constraint term. The effectiveness of the proposed method is illustrated by several examples based on the three-dimensional heat conduction problem. (C) 2012 Elsevier Ltd. All rights reserved.
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