Repository: Freie Universit├Ąt Berlin, Math Department

Quantification of airfoil geometry-induced aerodynamic uncertainties---comparison of approaches

Liu, Dishi and Litvinenko, Alexander and Schillings, Claudia and Schulz, Volker (2017) Quantification of airfoil geometry-induced aerodynamic uncertainties---comparison of approaches. SIAM/ASA Journal on Uncertainty Quantification, 5 (1).

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Official URL: https://doi.org/10.1137/15M1050239

Abstract

Uncertainty quantification in aerodynamic simulations calls for efficient numerical methods to reduce computational cost, especially for uncertainties caused by random geometry variations which involve a large number of variables. This paper compares five methods, including quasi-Monte Carlo quadrature, polynomial chaos with coefficients determined by sparse quadrature and by point collocation, radial basis function and a gradient-enhanced version of kriging, and examines their efficiency in estimating statistics of aerodynamic performance upon random perturbation to the airfoil geometry which is parameterized by independent Gaussian variables. The results show that gradient-enhanced surrogate methods achieve better accuracy than direct integration methods with the same computational cost.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Deterministic and Stochastic PDEs Group
ID Code:2997
Deposited By: Ulrike Eickers
Deposited On:06 Jun 2023 15:37
Last Modified:06 Jun 2023 15:37

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