Optimisation aérodynamique par réduction de modèle POD et contrôle optimal : application au sillage laminaire d'un cylindre circulaire

Abstract : This thesis focus on the circular cylinder drag minimization by rotary oscillations in a laminar flow. The originality of this approach is to couple optimal control and Reduced Ordre Model based on POD. Preliminary works concemed the parametric study of the influence of the control parameters on the drag force. We also found necessary to lInprove the dynamlcal representatlveness of the reduced order model by adding artificial viscosity and shift modes. Then, various control strategies have been developed. Firstly, a generalized POD basis, which accounts for the dynamics of the forced flow, will be used throughout the optimisation process. Secondly, an adaptative resolution method is performed. Two different algorithms are then used to determine when a actualization of the POD basis is necessary. Both control methods allows us to reduce and minimize the drag coefficient at much lower costs than the optimal control method applied to the Navier-Stokes equations.
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Theses
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http://docnum.univ-lorraine.fr/prive/INPL_T_2004_BERGMANN_M.pdf
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https://hal.univ-lorraine.fr/tel-01750014
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Submitted on : Thursday, March 29, 2018 - 12:35:52 PM
Last modification on : Thursday, May 9, 2019 - 3:38:03 PM

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Michel Bergmann. Optimisation aérodynamique par réduction de modèle POD et contrôle optimal : application au sillage laminaire d'un cylindre circulaire. Autre [cond-mat.other]. Institut National Polytechnique de Lorraine, 2004. Français. ⟨NNT : 2004INPL120N⟩. ⟨tel-01750014⟩

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