Name
Title | ||
|---|---|---|
Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.cad.2012.10.022 | Computer-Aided Design |
Keywords | Field | DocType |
computational domain,resulting volume parameterization,analysis-suitable parameterization,analysis-suitable volume parameterization,b-spline volume parameterization,good volume parameterization,isogeometric application,neighbor b-spline volume,single-block computational domain,multi-block computational domain,volume parameterization problem,b-spline surface,heat conduction | Mathematical optimization,Force field (chemistry),Isogeometric analysis,Quadratic equation,Orthogonality,Finite element method,Minification,Mathematics,Mesh generation,Bounded function | Journal |
Volume | Issue | ISSN |
45 | 2 | 0010-4485 |
Citations | PageRank | References |
42 | 1.76 | 12 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gang Xu | 1 | 95 | 6.79 |
| Bernard Mourrain | 2 | 1074 | 113.70 |
| RéGis Duvigneau | 3 | 91 | 5.54 |
| André Galligo | 4 | 98 | 8.30 |