Abstract
The differential operator method (DOM) has been developed to perform sensitivity analyses of generalized responses in the form of reaction rate ratios. In this method, the memory consumption required to store the source perturbation effect will become prohibitively large with a large number of particle histories. This work introduces the superhistory-based differential operator method (SH-DOM) to reduce the memory usage. In the superhistory algorithm, the source perturbation effect is estimated by following the source particle and its progenies over super-generations within a single particle history, which significantly reduces the memory usage. The new method is verified via the Jezebel, Flattop and the UAM TMI PWR pin cell benchmark problems calculated by the collision history-based method and the SH-DOM. Results show that the energy integrated sensitivity coefficients given by the present method agree within 5% with those of the collision history-based method and the SH-DOM can effectively reduce the memory consumption.
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