Densidad de neutrones estocástica con efectos de temperatura
DOI:
https://doi.org/10.22517/23447214.25485Keywords:
Nuclear neutron density, nuclear reactivity, stochastic equations, feedback temperature effects, numerical methodsAbstract
This paper presents a novel approach for calculating neutron density with temperature feedback effects by employing Milstein’s semi-implicit iterative scheme to numerically solve the stochastic point kinetics equations. The method's performance is validated through a series of numerical experiments involving 500 Brownian motion trajectories to compute the mean and standard deviation at a specified time step. The results show that the proposed method provides accurate approximations, making it a viable alternative for determining the expected value of neutron density and for predicting the peak time at which this maximum occurs, taking into account temperature effects and physical parameters relevant to nuclear reactors.
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