The theory of Volterra integral series for nonlinear systems is applied to the prediction of the aerodynamic response of an NACA 0012 airfoil experiencing blade-vortex interaction. The phenomenon is modeled in two-dimensions using Euler/Navier-Stokes description of the flow. The resulting unsteady lift time sequences are appropriately combined to form a training dataset to identify the Volterra kernels that characterize the reduced-order model based on the Volterra integral series. Next, the response predicted by the reduced-order model is compared to new data produced by the Euler/Navier-Stokes simulations to which the reduced-order model has never been exposed. The lift time histories predicted by the reduced-order model and the corresponding Euler/Navier-Stokes simulations are shown to be in respectable agreement.

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Conference 30th European Rotorcraft Forum
Wong, A. (Angela), Nitzsche, F, & Khalid, M. (Mahmood). (2005). Formulation of reduced-order models for blade-vortex interactions using modified Volterra kernels. In 30th European Rotorcraft Forum (pp. 69–79).