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Application of the Direct Statistical Approach on a Multisurface Splitting Problem in Monte Carlo Calculations

A. Dubi, A. Goldfeld, K. Burn

Nuclear Science and Engineering

Volume 93 / Number 2 / June 1986 / Pages 204-213


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The direct statistical approach was used recently to obtain analytic expressions for the second moment and the average time per source particle in a general case of multisurface geometry splitting. A practical algorithm is given for the calculation of the second moment as a function of the splitting parameters on the surfaces. The algorithm is used to calculate an explicit expression for the efficiency in a problem involving streaming of neutrons in a straight section of a concentric coolant pipe of a fast reactor. The results are used to obtain the optimum splitting range on four surfaces.

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