Proper orthogonal decomposition technique for transonic unsteady aerodynamic plows

A new method for constructing reduced-order models (ROM) of unsteady small-disturbance Rows is presented, The reduced-order models are constructed using basis vectors determined from the proper orthogonal decomposition (POL) of an ensemble of small-disturbance frequency-domain solutions. Each of the individual frequency-domain solutions is computed using an efficient time-linearized Row 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 Row 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.