An efficient,diversified,and low-dimensional airfoil parameterization method is critical to airfoil aerodynamic optimization design.This paper proposes a supersonic airfoil parameterization method based on a bijective...An efficient,diversified,and low-dimensional airfoil parameterization method is critical to airfoil aerodynamic optimization design.This paper proposes a supersonic airfoil parameterization method based on a bijective cycle generative adversarial network(Bicycle-GAN),whose performance is compared with that of the conditional variational autoencoder(cVAE)based parameterization method in terms of parsimony,flawlessness,intuitiveness,and physicality.In all four aspects,the Bicycle-GAN-based parameterization method is superior to the cVAEbased parameterization method.Combined with multifidelity Gaussian process regression(MFGPR)surrogate model and a Bayesian optimization algorithm,a Bicycle-GAN-based optimization framework is established for the aerodynamic performance optimization of airfoils immersed in supersonic flow,which is compared with the cVAE-based optimization method in terms of optimized efficiency and effectiveness.The MFGPR surrogate model is established using low-fidelity aerodynamic data obtained from supersonic thin-airfoil theory and high-fidelity aerodynamic data obtained from steady CFD simulation.For both supersonic conditions,the CFD simulation costs are reduced by>20%compared with those of the cVAE-based optimization,and better optimization results are obtained through the Bicycle-GAN model.The optimization results for this supersonic flow point to a sharper leading edge,a smaller camber and thickness with a flatter lower surface,and a maximum thickness at 50%chord length.The advantages of the Bicycle-GAN and MFGPR models are comprehensively demonstrated in terms of airfoil generation characteristics,surrogate model prediction accuracy and optimization efficiency.展开更多
基金supported by the National Natural Science Founda-tion of China(Grant No 12302226)the China Postdoctoral Science Foundation(Grant No BX20230453).
文摘An efficient,diversified,and low-dimensional airfoil parameterization method is critical to airfoil aerodynamic optimization design.This paper proposes a supersonic airfoil parameterization method based on a bijective cycle generative adversarial network(Bicycle-GAN),whose performance is compared with that of the conditional variational autoencoder(cVAE)based parameterization method in terms of parsimony,flawlessness,intuitiveness,and physicality.In all four aspects,the Bicycle-GAN-based parameterization method is superior to the cVAEbased parameterization method.Combined with multifidelity Gaussian process regression(MFGPR)surrogate model and a Bayesian optimization algorithm,a Bicycle-GAN-based optimization framework is established for the aerodynamic performance optimization of airfoils immersed in supersonic flow,which is compared with the cVAE-based optimization method in terms of optimized efficiency and effectiveness.The MFGPR surrogate model is established using low-fidelity aerodynamic data obtained from supersonic thin-airfoil theory and high-fidelity aerodynamic data obtained from steady CFD simulation.For both supersonic conditions,the CFD simulation costs are reduced by>20%compared with those of the cVAE-based optimization,and better optimization results are obtained through the Bicycle-GAN model.The optimization results for this supersonic flow point to a sharper leading edge,a smaller camber and thickness with a flatter lower surface,and a maximum thickness at 50%chord length.The advantages of the Bicycle-GAN and MFGPR models are comprehensively demonstrated in terms of airfoil generation characteristics,surrogate model prediction accuracy and optimization efficiency.
