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Construction de modèles d'ordre réduit non-linéaires basés sur la décomposition orthogonale propre pour l'aéroélasticité

Abstract : The numerical prediction of aeroelastic systems responses becomes very costly when a parametric analysis has to be performed. The need of a reduced order model close to the initial dynamical system is therefore essential to reduce the computational costs. The use of a basis composed of vectors obtained by the proper orthogonal decomposition (POD) which is then combined to a Galerkin projection has thus grown on in fluid mechanics. However there are three main difficulties to apply this methodology to aeroelastic systems : first because of the nonlinearities involved in the Navier-Stokes equations, then because of the domain motion which leads to an incoherent definition of the POD modes and finally since a stabilization is required. Firstly the reduced ordermodel based on the use of POD modes is applied to a linear dynamical system for which different formulations have been developed to take into account specific boundary conditions. Then the reduced order model is developed for the Navier-Stokes equations of a compressible fluid with a particular set of variables. This first reduced order model developed for a spatial domain with fixed boundaries is corrected and validated in the case of a NACA0012 airfoil with a large angle of attack such that a vortex street appears. Finally, the reduced order model is extended to the case of a moving domain by assuming a rigid body motion. In this way, the problem of definition of the POD modes is avoided. This last model is applied to the reproduction of the transonic flow around a NACA0064 airfoil oscillating around an equilibrium position.
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https://tel.archives-ouvertes.fr/tel-00461691
Contributor : Antoine Placzek <>
Submitted on : Friday, March 5, 2010 - 1:58:10 PM
Last modification on : Friday, June 26, 2020 - 2:00:03 PM
Long-term archiving on: : Friday, June 18, 2010 - 7:00:54 PM

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  • HAL Id : tel-00461691, version 1

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Antoine Placzek. Construction de modèles d'ordre réduit non-linéaires basés sur la décomposition orthogonale propre pour l'aéroélasticité. Mécanique [physics.med-ph]. Conservatoire national des arts et metiers - CNAM, 2009. Français. ⟨tel-00461691⟩

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