Calibration de modèles réduits POD pour le contrôle d'écoulements décollés
Résumé
The objective of this work is to construct, using POD (Proper Orthogonal Decomposition), reduced-order models able to accurately reproduce the spatio-temporal dynamics of separated flows. The growing interest concerning these models comes from their potential use in the resolution of large scale constrained optimization problems, in the context of flow control. The general approach consists in substituting the detailed model of Navier-Stokes equations for an approximated model, cheaper to compute and capturing the essential features of the dynamics. POD, which is the optimal decomposition in terms of energy, allows to approximate the flow dynamics in a subspace spanned by a few number of modes. Different calibration methods are developed here in order to improve the accuracy of this approximation. The idea is to determine auxiliary parameters in the equations of the model, computed by resolving appropriate constrained minimization problems
L'objectif de ce travail est de construire par POD (<
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