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Results from numerical simulations of the NASA trapezoidal wing geometry using the unstructured finite-volume-based solver STAR-CCM+ are presented. General polyhedral meshes are generated using automated techniques that are amenable to rapid grid generation for industrial use. A steady-state RANS approach is employed using the SST k-ω turbulence model coupled with a predictive laminar-to-turbulent transition model. Results are compared to experimental measurements provided as part of the 1st AIAA High-Lift Prediction Workshop (HiLiftPW-1), both with and without slat/flap support brackets.