Abstract This chapter is concerned with the construction of polynomial surrogates of complex configurations arising in computational fluid dynamics for the purpose of propagating uncertainties pertaining to geometrical and/or operational parameters. Generalized homogeneous chaos expansions are considered and different techniques for the non-intrusive reconstruction of the polynomial expansion coefficients are outlined. A sparsity-based reconstruction approach is more particularly emphasized since it benefits from the “sparsity-of-effects” trend commonly observed on global quantities of interest such as the aerodynamic coefficients of a profile. The overall framework is illustrated on a two-dimensional transonic turbulent flow around a RAE 2822 airfoil subjected to a variable free-stream Mach number, angle of attack, and relative thickness of the profile.
Generalized Polynomial Chaos for Non-intrusive Uncertainty Quantification in Computational Fluid Dynamics
2018-07-21
19 pages
Article/Chapter (Book)
Electronic Resource
English
NON-INTRUSIVE POLYNOMIAL CHAOS METHODS FOR UNCERTAINTY QUANTIFICATION IN FLUID DYNAMICS
British Library Conference Proceedings | 2010
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