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Article Dans Une Revue Computer-Aided Design Année : 2012

Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications

Résumé

Parameterization of computational domain is a key step in isogeometric analysis as mesh generation in finite element analysis. In this paper, we study the volume parameterization problem of multi-block computational domain in 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 single-block computational domain by solving a constraint optimization problem, in which the constraint condition is the injectivity sufficient conditions of B-spline volume parametrization, 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 resulted 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 volume should be added to the constraint term. The effectiveness of the proposed method are illustrated by several examples based on three-dimensional heat conduction problem.
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Dates et versions

hal-00685002 , version 1 (03-04-2012)
hal-00685002 , version 2 (19-08-2012)

Identifiants

  • HAL Id : hal-00685002 , version 1

Citer

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications. Computer-Aided Design, 2012. ⟨hal-00685002v1⟩
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