Reference : Weakening the tight coupling between geometry and simulation in isogeometric analysis
Scientific Presentations in Universities or Research Centers : Scientific presentation in universities or research centers
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/27735
Weakening the tight coupling between geometry and simulation in isogeometric analysis
English
Tomar, Satyendra mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Atroshchenko, Elena mailto [University of Chile > Department of Mechanical Engineering]
Xu, Gang mailto [Hangzhou Dianzi University]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
7-Jun-2016
24
International
7th European Congress on Computational Methods in Applied Sciences and Engineering 2016
June 5-10, 2016
Crete
Greece
[en] Isogeometric analysis ; sub-geometric ; super-geometric
[en] In the standard paradigm of isogeometric analysis, the geometry and the simulation spaces are tightly integrated, i.e. the same non-uniform rational B-splines (NURBS) space, which is used for the geometry representation of the domain, is employed for the numerical solution of the problem over the domain. However, there are situations where this tight integration is a bane rather than a boon. Such situations arise where, e.g.,
(1) the geometry of the domain is simple enough to be represented by low order NURBS, whereas the unknown (exact) solution of the problem is sufficiently regular, and thus, the numerical solution can be obtained with improved accuracy by using NURBS of order higher than that required for the geometry,
(2) the constraint of using the same space for the geometry and the numerical solution is particularly undesirable, such as in the shape and topology optimization, and
(3) the solution of the problem has low regularity but for the curved boundary of the domain one can employ higher order NURBS.
Therefore, we propose to weaken this constraint. An extensive study of patch tests on various combinations of polynomial degree, geometry type, and various cases of varying degrees and control variables between the geometry and the numerical solution will be discussed. It will be shown, with concrete reasoning, that why patch test fails in certain cases, and that those cases should be avoided in practice. Thereafter, selective numerical examples will be presented to address some of the above-mentioned situations, and it will be shown that weakening the tight coupling between geometry and simulation offers more flexibility in choosing the numerical solution spaces, and thus, improved accuracy of the numerical solution.
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/27735
FP7 ; 289361 - INSIST - Integrating Numerical Simulation and Geometric DesignTechnology

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