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Strategies for Solving High-Fidelity Aerodynamic Shape Optimization Problems

TitleStrategies for Solving High-Fidelity Aerodynamic Shape Optimization Problems
Publication TypeConference Papers
Year of Publication2014
AuthorsLyu, Z, Martins, JRRA
Conference NameProceedings of the 15th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
Date PublishedJune
Conference LocationAtlanta, GA

Aerodynamic shape optimization based on high-fidelity models is a computational intensive endeavor. The majority of the computational time is spent in the flow solver, and in the gradient calculation. In this paper, we present two approaches for reducing the overall computational cost of the optimization. The techniques are tested using the Common Research Model wing benchmark defined by the Aerodynamic Design Optimization Discussion Group (ADODG). The aerodynamic model solves the Reynolds-averaged Navier--Stokes equations with a Spalart--Allmaras turbulence model. A gradient-based optimization algorithm is used in conjunction with an adjoint method that computes the required derivatives. The drag coefficient is minimized subject to lift, pitching moment, and geometric constraints. The first approach uses Richardson's extrapolation to approximate the flow solutions and gradients. The second approach performs multilevel optimization with a series of grid sizes. We found the multilevel approach to be the most effective, achieving a 84.5% reduction in computational cost.

Citation KeyLyu2014d