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PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
A Proper Generalized Decomposition Approach for Low Frequency Dynamic Problems
P. Nargil, F. Louf and P.-A. Boucard
LMT-Cachan, ENS Cachan, CNRS, UPMC, PRES, UniverSud, France
P. Nargil, F. Louf, P.-A. Boucard, "A Proper Generalized Decomposition Approach for Low Frequency Dynamic Problems", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 161, 2014. doi:10.4203/ccp.106.161
Keywords: reduced order modeling, separated variables representation, proper generalized decomposition, proper orthogonal decomposition, dynamics, reduced basis..
Answering the need of an industrial search for a model order reduction to be used on a parametric problem, we offer to adapt the proper generalized decomposition (PGD) for its use. The goal of the work, described in this paper, is to adapt the PGD to dynamics problems. Proper orthogonal decomposition (POD) will be used as a comparison tool for the PGD basis, because they are both reduced order modeling methods using separated variables. In order to use these methods on dynamics problems, a choice has to be made regarding the integration scheme, therefore this paper will present different possibilities and show what they offer. Results on academic problems for the method will be presented.
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