Uncertainty quantification of coupled problems in reactor analysis

The classical PCE method with SCM was used for a multi-physics problem involving uncertain material properties. The preliminary results obtained show that criticality and peak temperature distributions are resolved accurately by using high order (P>2) PCE. It also indicates that stronger nonlinear dependence by varying /;T, / T, k1will require even higher order PCE (P>4) to represent output uncertainty precisely. The PCE-SCM scheme provides a consistent framework for quantifying uncertainty propagation in output parameters of interest and can hence increase the confidence in the deterministic solution obtained from multi-physics codes. Further analysis using large number of input/output variates along with techniques to reduce the total number of collocation points will improve the accuracy and efficiency of the UQ method.

Uncertainty quantification of coupled problems in reactor analysis Conference Paper