Uncertainty Quantification in Reacting Flow Computations

Habib Najm
Reacting Flow Research
Sandia National Laboratories

Uncertainty quantification (UQ) in the computational modeling of physical systems is important for both engineering design and model validation. We have developed spectral stochastic UQ techniques in which uncertain model parameters and field variables are modeled as stochastic quantities, and are represented using polynomial chaos expansions (PCEs). I will discuss the utility of PCE constructions for uncertainty quantification in reacting flow computations, including both sampling-based non-intrusive implementations and direct methods based on Galerkin projection of the governing equations. I will also discuss challenges faced using conventional Wiener-Hermite PCEs in chemical systems, and outline the resolution of these challenges using PCEs with multiwavelet constructions.

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