- Reagan, M. T. and Najm, H. N. and Ghanem, R. G. and Knio, O. M., Analysis of parametric uncertainty propagation in detailed combustion chemistry,
COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS
pp. 1501--1505 .
(last updated on 2011/07/05)
A spectral formalism has been developed for the ``non-intrusive'' analysis of parametric uncertainty. Compared to conventional Monte Carlo analysis, this method quantifies the extent, dependence, and propagation of uncertainty through the model system and allows correlation of uncertainties in specific parameters to the resulting total uncertainty in product concentrations and flame structure. Analysis of OD and ID hydrogen-oxygen combustion demonstrates that known empirical uncertainties in model parameters may result in large uncertainties in the final output, and nonlinearities in system response behavior make the order of the analysis an important consideration.