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Modélisation POD-Galerkine réduite pour le contrôle des écoulements instationnaires

Abstract : This Ph. D. thesis presents a study of the reduced-order POD-Galerkin modelling with the objective to develop robust and efficient algorithms for the flow control. The first and second chapters deal with the definition and the computation of POD modal basis, then with the formal construction of reduced-order dynamical models from the Navier-Stokes equations. The case of incompressible flows is presented in detail. In the third chapter, a study of the modelling of a three-dimensional turbulent flow, for which the small-scale modelling problem arises, is carried out: the interactions between POD modes and the effects of the POD basis reduction are qualitatively and quantitatively analysed, by a viscous parameterisation in particular. In the fourth chapter, some calibration methods, whose principle is to solve a minimization problem, are designed to be able to construct automatically some reliable reduced-order models for a reasonable computational cost. They are assessed for two flow configurations. In the fifth chapter, the problem of flow control by blowing/sucking actuators is considered: some strategies of the use of the POD-Galerkin modelling are described, then some numerical investigations are presented.
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Contributor : Mathieu Couplet Connect in order to contact the contributor
Submitted on : Friday, April 20, 2007 - 5:34:24 PM
Last modification on : Tuesday, March 16, 2021 - 3:42:04 PM
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  • HAL Id : tel-00142745, version 1



Mathieu Couplet. Modélisation POD-Galerkine réduite pour le contrôle des écoulements instationnaires. Modélisation et simulation. Université Paris-Nord - Paris XIII, 2005. Français. ⟨tel-00142745⟩



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