Development of a Monte-Carlo based method for calculating the effect of stationary fluctuations

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This paper deals with the development of a novel method for performing Monte Carlo calculations of the effect, on the neutron flux, of stationary fluctuations in macroscopic cross-sections. The basic principle relies on the formulation of two equivalent problems in the frequency domain: one that corresponds to the real part of the neutron balance, and one that corresponds to the imaginary part. The two equivalent problems are in nature similar to two subcritical systems driven by external neutron sources, and can thus be treated as such in a Monte Carlo framework. The definition of these two equivalent problems nevertheless requires the possibility to modify the macroscopic cross-sections, and we use the work of Kuijper, van der Marck and Hogenbirk to define group-wise macroscopic cross-sections in MCNP [1]. The method is illustrated in this paper at a frequency of 1 Hz, for which only the real part of the neutron balance plays a significant role and for driving fluctuations leading to neutron sources having the same sign in the two equivalent sub-critical problems. A semi-analytical diffusion-based solution is used to verily the implementation of the method on a test case representative of light water reactor conditions in an infinite lattice of fuel pins surrounded by water. The test case highlights flux gradients that are steeper in the Monte Carlo-based transport solution than in the diffusion-based solution. Compared to other Monte Carlo-based methods earlier proposed for carrying out stationary dynamic calculations, the presented method does not require any modification of the Monte Carlo code.
Original languageEnglish
Title of host publicationMathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference (M&C+SNA+MC 2015)
Number of pages17
PublisherAmerican Nuclear Society
Publication date2015
ISBN (Print)9781510808041
Publication statusPublished - 2015
EventJoint International Conference on Mathematics and Computation (M&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method 2015 - Nashville, TN, United States
Duration: 19 Apr 201523 Apr 2015


ConferenceJoint International Conference on Mathematics and Computation (M&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method 2015
CountryUnited States
CityNashville, TN
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ID: 126989736