DefinePK

Abstract

The second order second stage stochastic Runge-Kutta method (RK2-2st) is implemented for solving stochastic point kinetic equations with Newtonian temperature feedback effects, taking into consideration external ramp reactivity. The feedback temperature is included in the reactivity; it is an entry variable of point kinetic equations. Doppler feedback in thermic reactors is mainly due to epithermal capture resonances in non-fissionable combustible isotopes. Different numerical experiments have been carried out in which calculations are made of reactivity, mean values and standard deviation of neutron density, and the concentration of delayed neutron precursors. The results obtained are compared with other methods reported in literature, and it is found that the method proposed is sufficiently precise to give a solution to the stochastic point kinetic equations of an adiabatic reactor.