Adaptive Response Correction for Surrogate-Based Airfoil Shape Optimization
Slawomir Marcin Koziel, Leifur Leifsson · 30th AIAA Applied Aerodynamics Conference · 2012
An adaptive response correction (ARC) technique for computationally efficient surrogate-based optimization (SBO) of transonic airfoils is developed. SBO replaces a direct optimization of the high-fidelity (accurate but computationally expensive) airfoil model by an iterative optimization of a properly corrected low-fidelity one. Here, both models are based on the same governing fluid flow equations, however, the low-fidelity one uses a coarser discretization and relaxed convergence criteria. The ARC technique exploits the knowledge contained in the low-fidelity model to construct a fast and yet an accurate prediction tool (surrogate) that is used to find the high-fidelity model optimum. The optimization algorithm is embedded in the trust-region framework to ensure convergence. Examples demonstrate that the optimized airfoil design can be obtained at a substantially lower computational cost when compared to the direct high-fidelity model optimization.