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Uncertainty Quantification in numerical Aerodynamic via low‐rank Response Surface
Author(s) -
Litvinenko Alexander,
Matthies Hermann G.
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210379
Subject(s) - airfoil , aerodynamics , rank (graph theory) , domain (mathematical analysis) , computer science , set (abstract data type) , surface (topology) , turbulence , computational complexity theory , mathematics , mathematical optimization , algorithm , mathematical analysis , aerospace engineering , mechanics , geometry , physics , engineering , combinatorics , programming language
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)