Abstract
This Paper presents a nonlinear frequency-domain solver for the vortex lattice method. Assuming a periodic solution, the wing circulation is represented in time by a Fourier series without the assumption of small-amplitude oscillations and with a prescribed wake. The linear system of the vortex lattice method is developed in the frequency domain, allowing the periodic solution to be formulated as a steady problem. Two different approaches are proposed to solve the nonlinear system of equations, an iterative segregated approach and a direct frequency-domain approach. The method is verified against two-dimensional Theordorsen theory as well as three-dimensional solutions from the doublet lattice method and the time-domain unsteady vortex lattice method. The spectral accuracy of the method is demonstrated as is its capabilities of capturing nonlinear effects from wake intersections. The resulting time-spectral vortex lattice method solver is computationally efficient with precision comparable to the time-domain unsteady vortex lattice method solver, thus making the approach interesting for aerospace applications.
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