Multi-dimensional Sensitivity Analysis by Monte Carlo Method

Abstract

A multi-dimensional sensitivity analysis method is proposed for evaluating the neutron flux perturbation due to the variance in the total, total scattering and differential scattering cross sections of the medium. The method is formulated based on the Monte Carlo method. The method uses the perturbation theory where the neutron random paths are not changed, and the variation in the neutron weight is estimated to describe the flux perturbation due to cross section errors. The method is applied to analyze the neutron scattering experiment in the gun-source geometry. It is shown through the analysis that a variety of the flux perturbation is caused at each scattering direction by the cross section errors.