Comprehensive Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) Applied to a Subcritical Experimental Reactor Physics Benchmark. VI: Overall Impact of 1st- and 2nd-Order Sensitivities on Response Uncertainties
Comprehensive Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) Applied to a Subcritical Experimental Reactor Physics Benchmark. VI: Overall Impact of 1st- and 2nd-Order Sensitivities on Response Uncertainties
复制标题
应用于亚临界实验反应堆物理基准的综合二阶伴随灵敏度分析方法 (2nd-ASAM)。
作者：
D. Cacuci;R. Fang;J. Favorite
本文应用二阶伴随灵敏度分析方法（2nd-ASAM）计算了聚乙烯反射钚（PERP）基准的泄漏响应相对于基准的不精确已知的同位素数密度的一阶和未混合的二阶灵敏度。这些灵敏度的数值结果表明，一阶相对灵敏度的同位素数密度的两个裂变同位素有大的值，这是可比的，或大于，相应的灵敏度的总截面。此外，一些二阶非混合灵敏度的同位素数密度显着大于相应的一阶。这项工作还提出了结果的一阶灵敏度的PERP基准的泄漏响应相对于裂变光谱参数的两个可裂变同位素，这有非常小的值。最后，这项工作提出了总体总结和结论，这些总结和结论来自研究结果，涉及PERP基准的所有模型参数的21，976个一阶灵敏度和482，944，576个二阶灵敏度，如在专门用于“灵敏度分析，核能系统的不确定性量化和预测建模。
This work applies the Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) to compute the 1st-order and unmixed 2nd-order sensitivities of a polyethylene-reflected plutonium (PERP) benchmark’s leakage response with respect to the benchmark’s imprecisely known isotopic number densities. The numerical results obtained for these sensitivities indicate that the 1st-order relative sensitivity to the isotopic number densities for the two fissionable isotopes have large values, which are comparable to, or larger than, the corresponding sensitivities for the total cross sections. Furthermore, several 2nd-order unmixed sensitivities for the isotopic number densities are significantly larger than the corresponding 1st-order ones. This work also presents results for the first-order sensitivities of the PERP benchmark’s leakage response with respect to the fission spectrum parameters of the two fissionable isotopes, which have very small values. Finally, this work presents the overall summary and conclusions stemming from the research findings for the total of 21,976 first-order sensitivities and 482,944,576 second-order sensitivities with respect to all model parameters of the PERP benchmark, as presented in the sequence of publications in the Special Issue of Energies dedicated to “Sensitivity Analysis, Uncertainty Quantification and Predictive Modeling of Nuclear Energy Systems”.