Fast Multipole Method for Nonlinear, Unsteady Aerodynamic Simulations

The authors study the use of the Fast Multipole Method (FMM) for accelerating an aeroelastic simulator, comprised of the Unsteady Vortex Lattice Method (UVLM) for fluid dynamics simulations, and the Finite Element (FE) method for structural dynamics simulations. The FMM is integrated with UVLM based simulator. This accelerated UVLM model will in turn be used to accelerate the aeroelastic simulator. Considering the joined-wing SensorCraft, progress made thus far is reported in this work. The FMM algorithm is applied to a UVLM aerodynamic model for a large aspect ratio, planar, rectangular lifting surface and the results obtained on the computational cost reduction are presented. The current approach has broad applicability for the study of aerodynamic and aeroelastic responses of aircraft systems.

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