Rapid Multi-Objective Aerodynamic Design Using Co-Kriging and Space Mapping
Slawomir Marcin Koziel, Yonatan Afework Tesfahunegn, Anand Amrit, Leifur Leifsson · 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference · 2016
In this paper, a procedure for computationally feasible multi-objective design optimization of aerodynamic surfaces is presented. Our approach exploits multi-fidelity aerodynamics models as well as a multi-objective evolutionary algorithm (MOEA). For the sake of cost reduction, the initial Pareto front is obtained by optimizing a fast kriging surrogate model using MOEA. The surrogate is constructed from sampled low-fidelity model which is pre-conditioned using high-fidelity model data and space mapping. The surrogate is then iteratively refined by enhancing it using high-fidelity model data points sampled along the Pareto set using co-kriging. The process is continued until the Pareto front representation produced by the surrogate aligns with the high-fidelity verification samples. The proposed method allows us to obtain—at a low computational cost—a set of aerodynamic geometries representing trade-offs between the figures of merit. Our approach is illustrated on the design of airfoil shapes in transonic flow at constant lift and obtaining the Pareto front for the drag and pitching moment coefficients.