| The theory of Volterra integral equations for nonlinear system was applied to the prediction of the nonlinear aerodynamic response of an NACA 0012 airfoil during blade-vortex interaction (BVI). The phenomenon was first modelled in two-dimension by an Euler/Navier-Stoke code, and the resulted unsteady aerodynamic data were combined to form a training dataset. The Volterra kernels were identified in time-domain, and the predicted nonlinear aerodynamic responses of the airfoil were compared to the data. The predicted lift time histories of the airfoil were shown to be in good agreement with the aerodynamic data. This study not only have demonstrated that it is feasible for applying the theory of Volterra integral equations for nonlinear system to blade-vortex interaction, but it also have established a simple framework for the development of an engineering level BVI prediction tool. |
