Journal
ANNALS OF NUCLEAR ENERGY
Volume 63, Issue -, Pages 276-284Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.anucene.2013.07.018
Keywords
Alpha eigenvalues; Alpha static algorithm; Monte Carlo; Time-dependent transport; TRIPOLI-4 (R)
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Funding
- AREVA
- Electricite de France (EDF)
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Characterizing the time behavior of neutron transport is crucial in several technological issues, such as for instance reactor start-up analysis, reactivity measurements, or kinetics studies of accelerator-driven systems. Basically, this amounts to computing the spectrum of the Boltzmann operator: analytical techniques, though quite ingenuous, are often restricted to simple geometries and one-speed transport, so that numerical solutions become mandatory to this aim. In this paper we develop a Monte Carlo method for determining the dominant eigenvalue of the Boltzmann operator and the associated fundamental mode for arbitrary geometries, materials, and boundary conditions; this is done in view of adding such capabilities to the Monte Carlo code TRIPOLI-4 (R). Extensive verification and validation tests are performed on multiplying and moderating media, and a critique of the algorithm is proposed. (C) 2013 Elsevier Ltd. All rights reserved.
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