Time domain and time spectral reduced order models for aeroelasticity
Résumé
In this paper we address the construction of time and frequency domain Reduced Order Models for the Navier-Stokes equations. A classical basis obtained by the Proper Orthogonal Decomposition is used for the Galerkin projection of the governing equations and additional interpolation techniques based on the Discrete Empirical Interpolation Method are considered to evaluate efficiently the nonlinear terms. The applicability of this kind of ROMs for aeroelastic applications is first investigated in the time domain to reproduce the flow field around an oscillating cylinder at low Reynolds number. Then a second type of reduced order model dedicated to periodic flows is developed on the basis of the Time Spectral Method. Numerical tests demonstrate the potentiality of the proposed technique on the test case of an oscillating airfoil in subsonic and transonic regimes.
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