Uncertainty Quantification and Sensitivity Analysis of Transonic Aerodynamics with Geometric Uncertainty

Airfoil geometric uncertainty can generate aerodynamic characteristics fluctuations. Uncertainty quantification is applied to compute its impact on the aerodynamic characteristics. In addition, the contribution of each uncertainty variable to aerodynamic characteristics should be computed by the uncertainty sensitivity analysis. In the paper, Sobol’s analysis is used for uncertainty sensitivity analysis and a nonintrusive polynomial chaos method is used for uncertainty quantification and Sobol’s analysis. It is difficult to describe geometric uncertainty because it needs a lot of input parameters. In order to alleviate the contradiction between the variable dimension and computational cost, a principal component analysis is introduced to describe geometric uncertainty of airfoil. Through this technique, the number of input uncertainty variables can be reduced and typical global deformation modes can be obtained. By uncertainty quantification, the authors can learn that the flow characteristics of shock wave and boundary layer separation are sensitive to the geometric uncertainty in transonic region, which is the main reason that transonic drag is sensitive to the geometric uncertainty. The sensitivity analysis shows that the model can be simplified by eliminating unimportant geometric modes. Moreover, which are the most important geometric modes to transonic aerodynamics can be learnt. This is very helpful for airfoil design.

• Record URL:
  https://doi.org/10.1155/2017/8107190
• Record URL:
  https://doi.org/10.1155/2017/8107190
• Supplemental Notes:
  • © 2017 Xiaojing Wu et al.
• Authors:
  • Wu, Xiaojing
  • Zhang, Weiwei
  • Song, Shufang
• Publication Date: 2017

Language

• English

Media Info

• Media Type: Digital/other
• Features: Figures; References; Tables;
• Pagination: Article ID 8107190
• Serial:
  • International Journal of Aerospace Engineering
  • Volume: 2017
  • Publisher: Hindawi Publishing Corporation
  • Serial URL: http://www.hindawi.com/journals/ijae
• Publication flags:

  Open Access (libre)

Subject/Index Terms

• TRT Terms: Aerodynamics; Airfoils; Geometric design; Sensitivity analysis; Shock waves; Uncertainty
• Identifier Terms: Principal Component Analysis
• Subject Areas: Aviation; Vehicles and Equipment;

Filing Info

• Accession Number: 01630674
• Record Type: Publication
• Files: TRIS
• Created Date: Mar 28 2017 5:08PM