Abstract
Enforcing xenon equilibrium is used in both Monte Carlo and deterministic neutron transport codes to aid in the simulation of burn-up. This paper shows that the ‘inline’ algorithm common to enforcing xenon equilibrium in Monte Carlo is unconditionally stable while fully converging neutronics before updating the xenon and iodine densities is not. This analysis includes different versions of the inline algorithm, accounting for different tallying strategies. The inline algorithm is also found to modestly accelerate the convergence of the neutronic solution relative to the standard source iteration algorithm without inline feedback. The theoretical predictions are supported by numerical results from both a simple diffusion solver and a Monte Carlo code. The analysis devised may be relevant to other inline feedback algorithms.
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