1. An adaptive model order reduction by proper snapshot selection for nonlinear dynamical problems.
- Author
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Nigro, P., Anndif, M., Teixeira, Y., Pimenta, P., and Wriggers, P.
- Subjects
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NONLINEAR dynamical systems , *COMPUTATIONAL complexity , *COMPUTER simulation , *GALERKIN methods , *SUBSPACES (Mathematics) , *PROPER orthogonal decomposition - Abstract
Model Order Reduction (MOR) methods are employed in many fields of Engineering in order to reduce the processing time of complex computational simulations. A usual approach to achieve this is the application of Galerkin projection to generate representative subspaces (reduced spaces). However, when strong nonlinearities in a dynamical system are present and this technique is employed several times along the simulation, it can be very inefficient. This work proposes a new adaptive strategy, which ensures low computational cost and small error to deal with this problem. This work also presents a new method to select snapshots named Proper Snapshot Selection (PSS). The objective of the PSS is to obtain a good balance between accuracy and computational cost by improving the adaptive strategy through a better snapshot selection in real time (online analysis). With this method, it is possible a substantial reduction of the subspace, keeping the quality of the model without the use of the Proper Orthogonal Decomposition (POD). [ABSTRACT FROM AUTHOR]
- Published
- 2016
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