Multi-Objective Aeroacoustic Shape Optimization By Variable-Fidelity Models and Response Surface Surrogates


The trade-offs between the aerodynamic performance and aerodynamic noise signature of two-dimensional airfoil shapes in low-speed, high-lift flow are investigated. The figures of interest are calculated using Reynolds-Averaged Navier-Stokes-based computational fluid dynamics (CFD) simulations. A computationally efficient procedure for obtaining the Pareto front of the figures of interest is presented. The proposed approach utilizes a multi-objective evolutionary algorithm (MOEA) that works with a fast surrogate model of the aerodynamic surface under design, obtained with kriging interpolation of low-fidelity CFD simulations. The surrogate is enhanced by means of space mapping response correction based on a limited number of high-fidelity CFD simulation training points allocated in the design space. The Pareto set generated by the multi-objective optimization of the surrogate using MOEA is iteratively refined by local enhancements of the surrogate model. The proposed method allows us to obtain--at a low computational cost--a set of airfoil geometries representing the trade-offs between the figures of interest. We illustrate the approach using an example of an airfoil at a Mach number of 0.208, lift coefficient of 1.5, and a Reynolds number of 0.665 million.

Meeting Name

56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (2015: Jan. 5-9, Kissimmee, FL)


Mechanical and Aerospace Engineering

Research Center/Lab(s)

Center for High Performance Computing Research

Keywords and Phrases

Aeroacoustics; Aerodynamics; Airfoils; Commerce; Economic and Social Effects; Evolutionary Algorithms; Interpolation; Iterative Methods; Lift; Multiobjective Optimization; Navier Stokes Equations; Reynolds Number; Shape Optimization; Structural Dynamics; Aero-Dynamic Performance; Aerodynamic Surfaces; Computational Fluid Dynamics Simulations; Computationally Efficient; Kriging Interpolation; Multi Objective Evolutionary Algorithms; Reynolds - Averaged Navier-Stokes; Two-Dimensional Airfoils; Computational Fluid Dynamics

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Document Type

Article - Conference proceedings

Document Version


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