TY - JOUR
T1 - Efficient aerodynamic analysis and optimization under uncertainty using multi-fidelity polynomial chaos-Kriging surrogate model
AU - Zhao, Huan
AU - Gao, Zheng Hong
AU - Xia, Lu
N1 - Publisher Copyright:
© 2022
PY - 2022/10/15
Y1 - 2022/10/15
N2 - Surrogate model has been extensively employed in uncertainty-based design optimization (UBDO) for computationally expensive engineering problems. However, it often causes great difficulties to designers due to the unsatisfactory accuracy and the high sensitivity of surrogate prediction in presence of uncertainties. Worse still, some popular metamodeling methods also require a substantially higher computational cost than that in deterministic design to get an acceptable accuracy. To address the challenging problem, an UBDO framework based on the proposed multi-fidelity polynomial chaos-Kriging (MF PC-Kriging) surrogate model is proposed, with particular superiority for complex aerodynamic applications. The construction principle of the MF PC-Kriging model and the rationality of the superiority of it with respect to popular surrogate models are explained in detail. Meantime, it is examined by investigating an analytical function and a transonic aerodynamic application with both geometrical and operational uncertainties. Thus, the MF PC-Kriging with easier understanding and better modeling capabilities is involved in UBDO to resolve the proposed difficulty. Finally, an uncertainty-based aerodynamic design optimization problem is performed using this proposed framework. It is observed that for the considered examples, the developed methodology is more efficient and provides the better performance for aerodynamic uncertainty analysis, and complex aerodynamic analysis and optimization under uncertainty compared with universal Kriging and PC-Kriging methods.
AB - Surrogate model has been extensively employed in uncertainty-based design optimization (UBDO) for computationally expensive engineering problems. However, it often causes great difficulties to designers due to the unsatisfactory accuracy and the high sensitivity of surrogate prediction in presence of uncertainties. Worse still, some popular metamodeling methods also require a substantially higher computational cost than that in deterministic design to get an acceptable accuracy. To address the challenging problem, an UBDO framework based on the proposed multi-fidelity polynomial chaos-Kriging (MF PC-Kriging) surrogate model is proposed, with particular superiority for complex aerodynamic applications. The construction principle of the MF PC-Kriging model and the rationality of the superiority of it with respect to popular surrogate models are explained in detail. Meantime, it is examined by investigating an analytical function and a transonic aerodynamic application with both geometrical and operational uncertainties. Thus, the MF PC-Kriging with easier understanding and better modeling capabilities is involved in UBDO to resolve the proposed difficulty. Finally, an uncertainty-based aerodynamic design optimization problem is performed using this proposed framework. It is observed that for the considered examples, the developed methodology is more efficient and provides the better performance for aerodynamic uncertainty analysis, and complex aerodynamic analysis and optimization under uncertainty compared with universal Kriging and PC-Kriging methods.
KW - Aerodynamic optimization
KW - Multi-fidelity polynomial chaos-Kriging
KW - Polynomial chaos expansion (PCE)
KW - Uncertainty quantification
KW - Uncertainty-based design optimization
UR - http://www.scopus.com/inward/record.url?scp=85136504359&partnerID=8YFLogxK
U2 - 10.1016/j.compfluid.2022.105643
DO - 10.1016/j.compfluid.2022.105643
M3 - 文章
AN - SCOPUS:85136504359
SN - 0045-7930
VL - 246
JO - Computers and Fluids
JF - Computers and Fluids
M1 - 105643
ER -