Hybrid-degree weighted T-splines and their application in isogeometric analysis
| Autor: | Hector Gomez, Hugo Casquero, Lei Liu, Yongjie Jessica Zhang |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Laplace's equation
Surface (mathematics) Rest (physics) General Computer Science Degree (graph theory) General Engineering Basis function 010103 numerical & computational mathematics Isogeometric analysis Topology 01 natural sciences Domain (mathematical analysis) Mathematics::Numerical Analysis 010101 applied mathematics Computer Science::Graphics Applied mathematics 0101 mathematics Mathematics |
| Zdroj: | Computers & Fluids. 141:42-53 |
| ISSN: | 0045-7930 |
| DOI: | 10.1016/j.compfluid.2016.03.020 |
| Popis: | In this paper, we introduce hybrid-degree weighted T-splines by means of local p-refinement and apply them to isogeometric analysis. Standard T-splines enable local h-refinement, however, they do not support local p-refinement. To increase the flexibility of T-splines so that local p-refinement is also available, we first define weighted B-spline curves of hybrid degree. Then we extend the idea to weighted T-spline surfaces of hybrid degree. A transition region is defined so as to stitch the locally p-refined region with the rest of the mesh. The transition region has the same basis function degree as the p-refined region, and the same surface continuity as the rest of the mesh. Finally, we compare the performance of odd-, even-, and hybrid-degree T-splines over an L -shaped domain governed by the Laplace equation and create high-genus surfaces using hybrid-degree weighted T-splines. |
| Databáze: | OpenAIRE |
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