stabilization effect of fission source in coupled monte carlo simulations

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ID: 198594
2017
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Abstract
A fission source can act as a stabilization element in coupled Monte Carlo simulations. We have observed this while studying numerical instabilities in nonlinear steady-state simulations performed by a Monte Carlo criticality solver that is coupled to a xenon feedback solver via fixed-point iteration. While fixed-point iteration is known to be numerically unstable for some problems, resulting in large spatial oscillations of the neutron flux distribution, we show that it is possible to stabilize it by reducing the number of Monte Carlo criticality cycles simulated within each iteration step. While global convergence is ensured, development of any possible numerical instability is prevented by not allowing the fission source to converge fully within a single iteration step, which is achieved by setting a small number of criticality cycles per iteration step. Moreover, under these conditions, the fission source may converge even faster than in criticality calculations with no feedback, as we demonstrate in our numerical test simulations.
Reference Key
olsen2017nuclearstabilization Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Börge Olsen;Jan Dufek
Journal Journal of hazardous materials
Year 2017
DOI
10.1016/j.net.2017.02.008
URL
http://www.sciencedirect.com/science/article/pii/S1738573317304242
Keywords
Monte Carlo atomic power

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