Oberseminar Numerische Mathematik / Scientific Computing
Omar Knio
The Johns Hopkins University, Baltimore, USA
Uncertainty Quantification in CFD Using Polynomial Chaos Decompositions
Abstract:
This talk focuses on recent applications of Polynomial Chaos (PC) methods for uncertainty representation and propagation in CFD computations. The fundamental concept on which PC representations are based is to regard uncertainty as generating a new set of dimensions, and the solution as being dependent on these dimensions. A spectral decomposition in terms of orthogonal basis functions is used, the evolution of the basis coefficients providing quantitative estimates of the effect of random model data. A general overview is provided, including an exposition of the mechanics of PC decompositions, an illustration of various means of implementing these representations, a perspective on the applicability of the corresponding techniques to propagate and quantify uncertainty in Navier-Stokes computations.
| Datum: | 08.06.2007 | Zeit: | 16:00 Uhr | Ort: | FU Berlin, Institut für Mathematik II, Arnimallee 6, 14195 Berlin. | Raum: | 032 im Erdgeschoss |