- Hall, Kenneth C. and Thomas, Jeffrey P. and Dowell, Earl H., Proper orthogonal decomposition technique for transonic unsteady aerodynamic flows,
AIAA Journal, vol. 38 no. 10
pp. 1853 - 1862 .
(last updated on 2007/04/07)
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. 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.
Unsteady flow;Wings;Linearization;Frequency domain analysis;Problem solving;Mathematical models;Vectors;