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Weekly Seminar: Fall 2008

Date: September 12

Time: 11:00 AM
Location: Maryland Hall 110
Speaker: Dr. Olivier LeMaitre
LIMSI, Paris, France
Title:"Spectral methods for uncertainty quantification in fluid flow simulations"

Abstract

This talk will review the stochastic spectral methods for uncertainty quantification and propagation in fluid flow simulations. After a brief discussion of the spectral stochastic representations based on orthogonal polynomial decompositions, I will detail the Galerkin projection schemes used to propagate uncertainty into fluid flow models. Examples of application will be shown, including simulation results for both Eulerian and Lagrangian discretizations of the Navier-Stokes equations, with special emphasis on the uncertainty characterization provided by the spectral expansion. Finally, limitations and possible improvements of the method will be discussed.