Papers Published

  1. 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 (2000), 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;