2020
DOI: 10.3390/en13071674
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Abstract: 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… Show more

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Cited by 25 publications
(51 citation statements)
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References 11 publications
(106 reference statements)
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“…The characteristics of the OECD/NEA polyethylene-reflected plutonium (acronym: PERP) metal sphere benchmark for subcritical neutron and gamma measurements have been detailed in Part I [1] and in [4] [5]. The mathematical expression of the 3 rd -order mixed sensitivities…”
Section: Numerical Results For Third-order Unmixed Sensitivities Of Tmentioning
confidence: 99%
See 1 more Smart Citation
“…The characteristics of the OECD/NEA polyethylene-reflected plutonium (acronym: PERP) metal sphere benchmark for subcritical neutron and gamma measurements have been detailed in Part I [1] and in [4] [5]. The mathematical expression of the 3 rd -order mixed sensitivities…”
Section: Numerical Results For Third-order Unmixed Sensitivities Of Tmentioning
confidence: 99%
“…This work will present the numerical results obtained by using the formulas derived in [1] for the (180) 3 third-order mixed sensitivities of the PERP's leakage response with respect to the benchmark's 180 group-averaged microscopic total cross sections. The numerical results obtained for the 3 rd -order relative sensitivities are then compared with the corresponding 1 st -and 2 nd -order ones, which have been computed and reported in [4] [5]. The magnitudes and distributions of the 3 rd -order mixed relative sensitivities will be illustrated in 3D plots.…”
Section: Introductionmentioning
confidence: 99%
“…The remaining results obtained by applying the 2nd-ASAM to compute the 1st-and 2nd-order sensitivities of the PERP's leakage response with respect to the PERP's 6 isotopic number densities will be presented in Part V [8]. The overall conclusions drawn from this massive sensitivity analysis endeavor will be presented in Part VI [9].…”
Section: Introductionmentioning
confidence: 99%
“…15 Second-and higher-order uncertainty quantification is possible 15 and in fact desirable, because second-order contributions may be larger than one suspects. 16 For deterministic multigroup neutron problems, SENSMG can compute first-order 5,6 and secondorder sensitivities of a neutron response (but not keff) in a one-dimensional sphere or a two-dimensional cylinder (but not a stand-off point response) with respect to a cross section. [16][17][18][19] Cross sections for deterministic gamma-ray calculations are not generally appropriate for INRAD, so PARTISN and SENSMG would not generally be applied.…”
Section: Iia Capabilitiesmentioning
confidence: 99%
“…15 Higher-order uncertainty quantification is possible 15 and in fact desirable, because second-order contributions may be larger than one suspects. 16 In fact, very accurate third-order sensitivities have been demonstrated using multidual algebra in SENSPG. 40,41 There is no limit to how many derivative orders can be obtained.…”
Section: Summary and Future Workmentioning
confidence: 99%