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Monte Carlo burnup and its uncertainty propagation analyses for VERA depletion benchmarks by McCARD
박호진,이동혁,전병규,심형진 한국원자력학회 2018 Nuclear Engineering and Technology Vol.50 No.7
For an efficient Monte Carlo (MC) burnup analysis, an accurate high-order depletion scheme to considerthe nonlinear flux variation in a coarse burnup-step interval is crucial accompanied with an accuratedepletion equation solver. In a Seoul National University MC code, McCARD, the high-order depletionschemes of the quadratic depletion method (QDM) and the linear extrapolation/quadratic interpolation(LEQI) method and a depletion equation solver by the Chebyshev rational approximation method (CRAM)have been newly implemented in addition to the existing constant extrapolation/backward extrapolation(CEBE) method using the matrix exponential method (MEM) solver with substeps. In this paper, thequadratic extrapolation/quadratic interpolation (QEQI) method is proposed as a new high-order depletionscheme. In order to examine the effectiveness of the newly-implemented depletion modules inMcCARD, four problems in the VERA depletion benchmarks are solved by CEBE/MEM, CEBE/CRAM, LEQI/MEM, QEQI/MEM, and QDM for gadolinium isotopes. From the comparisons, it is shown that the QEQI/MEM predicts kinf's most accurately among the test cases. In addition, statistical uncertainty propagationanalyses for a VERA pin cell problem are conducted by the sensitivity and uncertainty and the stochasticsampling methods.
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