Uncertainty Quantification in numerical Aerodynamic via low‐rank Response Surface

With the example from numerical aerodynamic we illustrate how uncertainties in the input data: parameters and computational domain propagate into the solution. The mathematical model is described via a Navier‐Stokes system of equations with a k‐ω turbulence model. The computing domain is the RAE‐2822 airfoil. To reduce storage requirement and computing time, we introduce a low‐rank approximation of the whole set of realisations of the uncertain solution. This approximation allows us to compute a low‐rank approximation of the response surface and then perform post‐processing with a linear complexity and with drastically reduced memory requirements. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)