Reference : Weakening the tight coupling between geometry and simulation in isogeometric analysis

	Document type :	Scientific Presentations in Universities or Research Centers : Scientific presentation in universities or research centers
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/27735

Title :	Weakening the tight coupling between geometry and simulation in isogeometric analysis
Language :	English
Author, co-author :	Tomar, Satyendra [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Atroshchenko, Elena [University of Chile > Department of Mechanical Engineering]
	Xu, Gang [Hangzhou Dianzi University]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Publication date :	7-Jun-2016
Number of pages :	24
Audience :	International
Event name :	7th European Congress on Computational Methods in Applied Sciences and Engineering 2016
Event date :	June 5-10, 2016
Event place (city) :	Crete
Event country :	Greece
Keywords :	[en] Isogeometric analysis ; sub-geometric ; super-geometric
Abstract :	[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.
Name of the research project :	FP7-PEOPLE-2011-ITN (289361), F1R-ING-PEU-14RLTC
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/27735
Framework Programme / European Project :	FP7 ; 289361 - INSIST - Integrating Numerical Simulation and Geometric DesignTechnology

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	Fulltext file(s): File Commentary Version Size Access Open access Tomar_ECCOMAS_16.pdf Author preprint 1.26 MB View/Open Additional material(s): File Commentary Size Access Private access eccomas_16.zip Zip file containing the source tex file and the figures in the subdirectory "Figures", which is exactly used in the tex file. 2.38 MB Request a copy

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