Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 249, Issue -, Pages 116-150Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2012.03.017
Keywords
Isogeometric analysis; Hierarchical refinement; Adaptivity with NURBS; Immersed boundary analysis; Finite cell method; T-spline CAD surfaces
Funding
- Centre of Advanced Computing (MAC)
- International Graduate School of Science and Engineering (IGSSE) of the Technische Universitat Munchen
- ONR [N00014-08-1-0992]
- ARO [W911NF-10-1-216]
- NSF GOALI [CMI-0700807/0700204]
- NSF [CMMI-1101007]
- SINTEF
- DOE Computational Science Graduate Fellowship [DE-FG02-97ER25308]
- ICES CAM Graduate Fellowship
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We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and immersed boundary analysis. We use the principle of B-spline subdivision to derive a local refinement procedure, which combines full analysis suitability of the basis with straightforward implementation in tree data structures and simple generalization to higher dimensions. We test hierarchical refinement of NURBS for some elementary fluid and structural analysis problems in two and three dimensions and attain good results in all cases. Using the B-spline version of the finite cell method, we illustrate the potential of immersed boundary methods as a seamless isogeometric design-through-analysis procedure for complex engineering parts defined by T-spline CAD surfaces, specifically a ship propeller and an automobile wheel. We show that hierarchical refinement considerably increases the flexibility of this approach by adaptively resolving local features. (C) 2012 Elsevier B.V. All rights reserved.
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