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Semianalytical Procedures for Obtaining Low-Order Non-Equally-Probable Step-Function Representations in Multigroup Monte Carlo

Li Mao, J. C. Nimal

Nuclear Science and Engineering

Volume 136 / Number 3 / November 2000 / Pages 409-414


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The non-equally-probable step-function (NEPSF) representation has been proposed as a new method for selecting scattering angles from a multigroup transfer matrix for a medium of a single nuclide or a mixture. This technique avoids the disadvantage of the equally-probable step-function representation, which cannot well present the group-to-group transfer lax for a mixture. Similar to the discrete angle representation, the NEPSF representation can preserve precisely the moments of the scattering law; moreover, it has the advantage of eliminating ray effects. We give semianalytical procedures for obtaining P3 and P5 NEPSF representations, which will facilitate greatly low-order transfer matrix treatment in multigroup Monte Carlo.

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