Réduction de modèle par identification en convection forcée pour des systèmes soumis à des conditions aux limites thermiques instationnaires : application à l'écoulement le long d'une marche avec contrôle thermique par retour d'état

Abstract : The numerical work described in this thesis deals with model reduction in the field of heat transfer and fluid mechanics. The reduced models being solved rapidly, they can be coupled with some optimal algorithms. The construction of reduced models is performed based on the Modal Identification Method (MIM) that has been developed in our laboratory for many years. This method is based on the state representation under a modal form. The reduced model is identified through the minimization of a function containing the parameters of the model and based on the difference between the outputs of a detailed model and those of a reduced one. An application is proposed dealing on a flow over a backward-facing step, with a time-varying heat flux density applied upstream of the step. Reduction modelling leads to important reduction of simulation times, still while maintaining a very good accuracy. We then propose an approach combining the theory of optimal control with the model obtained by the MIM. This approach is used to find, on-line, the fluxes applied upstream the step such that the obtained temperature stays as close as possible to the set point.
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Submitted on : Monday, September 13, 2010 - 11:42:22 AM
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Yassine Rouizi. Réduction de modèle par identification en convection forcée pour des systèmes soumis à des conditions aux limites thermiques instationnaires : application à l'écoulement le long d'une marche avec contrôle thermique par retour d'état. Sciences de l'ingénieur [physics]. ISAE-ENSMA Ecole Nationale Supérieure de Mécanique et d'Aérotechique - Poitiers, 2010. Français. ⟨tel-00516968⟩

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