Reduced-order modelling of unsteady small-disturbance flows using a frequency-domain proper orthogonal decomposition technique
© 1999 by Kenneth C. Hall, Jeffrey P. Thomas, and Earl H. Dowell.A new method for constructing reduced-order models (ROM) of unsteady small-disturbance flows is presented. The reduced-order models are constructed using basis vectors determined from the proper orthogonal decomposition (POD) of an ensemble of small-disturbance frequency-domain solutions. Each of the individual frequency-domain solutions is computed using an efficient time-linearized flow solver. We show that reduced-order models can be constructed using just a handful of POD basis vectors, producing low-order but highly accurate models of the unsteady flow over a wide range of frequencies. In this paper, we apply the POD/ROM technique to compute the unsteady aerodynamic and aeroelastic behavior of an isolated transonic airfoil, and to a two-dimensional cascade of airfoils.
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