Uncertainty Quantification of Transonic RAE2822 Airfoil under Geometrical Uncertainties

Document Type : Original Article

Authors

1 Ph.D., Imam Hossein (AS) University, Tehran, Iran

2 PhD, University of Tehran, Tehran, Iran

Abstract

Uncertainty has been known as an unavoidable parameter since early steps of investigation on physical phenomena. Therefore, to ensure validity of numerical simulations in the engineering applications, all of the related uncertainty sources must be considered. The examination of uncertainty effects on the flow field and heat transfer in the complex applications have been possible by recent advances in the computational fluid dynamics (CFD) methods. In this paper, the analysis of the uncertainty quantification (UQ) of the transonic flow field around the RAE 2822 airfoil is evaluated as a challenging problem in the CFD field under the effect of airfoil geometry uncertainties caused by manufacturing tolerances. At first, the developed code of polynomial chaos expansion (PCE) is validated on the several challenging and nonlinear test functions. Then, to construct geometrical uncertainties in the RAE 2822 airfoil, the Karhunen-Loeve (KL) method is employed by using 18 random variables and performing 2660 different CFD simulations. The obtained results from the non-deterministic pressure coefficient around the airfoil show that the geometric uncertainties more strongly affect the place of occurrence and the strength of the normal shock.

Keywords

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History

  • Receive Date: 04 September 2023
  • Revise Date: 05 January 2024
  • Accept Date: 07 February 2024
  • Publish Date: 19 February 2024

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