Print Email Facebook Twitter Probabilistic collocation used in a Two-Step approached for efficient uncertainty quantification in computational fluid dynamics Title Probabilistic collocation used in a Two-Step approached for efficient uncertainty quantification in computational fluid dynamics Author Loeven, G.J.A. Bijl, H. Faculty Aerospace Engineering Date 2009-12-31 Abstract In this paper a Two-Step approach is presented for uncertainty quantification for expensive problems with multiple uncertain parameters. Both steps are performed using the Probabilistic Collocation method. The first step consists of a sensitivity analysis to identify the most important parameters of the problem. The sensitivity derivatives are obtained using a first or second order Probabilistic Collocation approximation. For the most important parameters the probability distribution functions are propagated using the Probabilistic Collocation method using higher order approximations. The Two-Step approach is demonstrated for flow around a NACA0012 airfoil with eight uncertain parameters in the free stream conditions and geometry. The first step identified the freestream velocity, angle of attack, and the camber of the airfoil as the three most important parameters. In the second step the probability distributions of all three parameters are propagated using higher order Probabilistic Collocation approximations. Statistical properties of the lift and drag are obtained, as well as uncertainty bounds for the pressure and skinfriction on the surface of the airfoil Subject probabilistic collocationpolynomial chaoscomputational fluid dynamicsuncertainty quantificationsensitivity analysis To reference this document use: http://resolver.tudelft.nl/uuid:bb1d9150-502f-4b94-88fd-498c248c7c15 Publisher Tech Science Press ISSN 1526-1506 Source CMES Computer modeling in engineering and sciences, 36 (3), 2009 Part of collection Institutional Repository Document type journal article Rights (c) 2008 Loeven G.J.A.; Bijl, H. Files PDF 231608.pdf 352.05 KB Close viewer /islandora/object/uuid:bb1d9150-502f-4b94-88fd-498c248c7c15/datastream/OBJ/view