Uncertainty quantification of coupled problems in reactor analysis
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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.
author list (cited authors)
Mahadevan, V. S., & Ragusa, J. C.