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Simulations of periodic fluidic excitations in the context of active flow control are performed using a frequency domain solver for the efficient prediction of global air loads. Frequency domain methods have become a viable choice whenever the disturbance of the flow is small and periodic, and can reduce the computational effort substantially in comparison to time-accurate unsteady simulations. Although time-accurate unsteady simulations resolve the entire spectrum of the flow, they suffer from a long transient phase and thus require an extensive use of computational resources. The goal is to extend the timelinearized frequency domain method of the DLR TAU-code toward load control by blowing fluidic actuators. This paper presents the set of discretized unsteady equations and associated boundary conditions for both the time accurate and frequency domain method. The applied time-linearized frequency method decouples each harmonic, forming a linear approach, which renders the sequential calculation of the individual harmonics to evaluate the time response of air loads. At first, blowing actuation for a two-dimensional airfoil with a single slot is considered for which constant as well as periodic excitations are used for validation and investigation purposes of air loads between the time-accurate and nonlinear frequency domain method. In addition, a 2-element high-lift wing with a flow separation on the trailing edge flap is simulated that demonstrates the good prediction quality of air load derivatives with the frequency domain method.

Linear Frequency Domain Method for Load Control by Fluidic Actuation