UNCERTAINTY QUANTIFICATION AND ROBUST DESIGN OF AIRFOIL BASED ON POLYNOMIAL CHAOS TECHNIQUE

Zhao Ke; Gao Zhenghong; Huang Jiangtao; Li Jing

doi:10.6052/0459-1879-13-127

Volume 46 Issue 1

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Chinese Journal of Theoretical and Applied Mechanics > 2014 > 46(1): 10-19. > DOI: 10.6052/0459-1879-13-127 CSTR: 32045.14.0459-1879-13-127

Zhao Ke, Gao Zhenghong, Huang Jiangtao, Li Jing. UNCERTAINTY QUANTIFICATION AND ROBUST DESIGN OF AIRFOIL BASED ON POLYNOMIAL CHAOS TECHNIQUE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(1): 10-19. DOI: 10.6052/0459-1879-13-127

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UNCERTAINTY QUANTIFICATION AND ROBUST DESIGN OF AIRFOIL BASED ON POLYNOMIAL CHAOS TECHNIQUE

1.
National Key Laboratory of Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an 710072, China
2. China Aerodynamics Research & Development Center, Mianyang 621000, China

Received Date: April 22, 2013
Revised Date: July 01, 2013

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Abstract

Robust design optimization has gained increasing concern in the engineering design process because it can provide an economical design that is insensitive to variations in the input variables without eliminating their causes. The key of robust design is uncertainty analysis. So in this paper the uncertainty analysis based on polynomial chaos was investigated and combined with CFD method to quantify the uncertainties in computational aerodynamic design. The transonic flow around RAE2822 airfoil is studied to test the presented method and analyze the effect of the polynomial order to the precision of the aerodynamic characteristic. The robust design of a supercritical airfoil based on the uncertainty of Mach number was conducted to validate the PCE method. It is shown by the optimization result that the drag coefficient was decreased at the design point while the sensitivity of the drag coefficient about the Mach number was weakened. It is proved that the PCE method can improve the efficiency of robust design and is a good choice for aerodynamic robust design.
- robust design,
- NSGAII,
- polynomial chaos,
- Hermite polynomials,
- uncertainty quantification

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