Uncertainties Quantification and Data Compression in numerical Aerodynamics

We research how uncertainties in the angle of attack, in the Mach number and in the geometry of the airfoil propagate in the solution (pressure, density, velocity etc). To compute different statistical functionals of the solution we build a low-rank response surface. The building algorithm is working on the fly, is based on the QR-decomposition, has drastically reduced memory requirements and linear complexity. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)