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Reduced Order Models at work

Michel Bergmann 1, 2, * Thierry Colin 1, 2 Angelo Iollo 2 Damiano Lombardi 3 Olivier Saut 1, 2 Haysam Telib 4
* Corresponding author
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
3 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : We review a few applications of reduced-order modeling in aeronautics and medicine. The common idea is to determine an empirical approximation space for a model described by partial differential equations. The empirical approximation space is usually spanned by a small number of global modes. In case of periodic or mainly diffusive phenomena it is shown that this approach can lead to accurate fast simulations of complex problems. In other cases, models based on definition of transport modes significantly improve the accuracy of the reduced model.
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Submitted on : Wednesday, November 20, 2013 - 8:10:46 PM
Last modification on : Friday, March 27, 2020 - 3:16:32 AM
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  • HAL Id : hal-00906908, version 1


Michel Bergmann, Thierry Colin, Angelo Iollo, Damiano Lombardi, Olivier Saut, et al.. Reduced Order Models at work. Quarteroni, Alfio. Modeling, Simulation and Applications, 9, Springer, 2013. ⟨hal-00906908⟩



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