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Title: Analytical Sensitivity Analysis of a Spent Nuclear Fuel Cask

Journal Article · · Journal of Verification, Validation and Uncertainty Quantification
DOI:https://doi.org/10.1115/1.4055013· OSTI ID:1879395

Here, we report nuclear science and engineering is a field increasingly dominated by computational studies resulting from increasingly powerful computational tools. As a result, analytical studies, which previously pioneered nuclear engineering, are increasingly viewed as secondary or unnecessary. However, analytical solutions to reduced-fidelity models can provide important information concerning the underlying physics of a problem and aid in guiding computational studies. Similarly, there is increased interest in sensitivity analysis studies. These studies commonly use computational tools. However, providing a complementary sensitivity study of relevant analytical models can lead to a deeper analysis of a problem. This work provides the analytical sensitivity analysis of the one-dimensional (1D) cylindrical mono-energetic neutron diffusion equation using the forward sensitivity analysis procedure (FSAP) developed by Cacuci. Further, these results are applied to a reduced-fidelity model of a spent nuclear fuel cask, demonstrating how computational analysis might be improved with a complementary analytic sensitivity analysis.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1879395
Report Number(s):
LA-UR-22-21315; TRN: US2307643
Journal Information:
Journal of Verification, Validation and Uncertainty Quantification, Vol. 7, Issue 3; ISSN 2377-2158
Publisher:
ASMECopyright Statement
Country of Publication:
United States
Language:
English

References (11)

Development of sensitivity analysis capabilities of generalized responses to nuclear data in Monte Carlo code RMC journal November 2016
Analytical benchmark test set for criticality code verification journal January 2003
Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems journal November 2001
Symmetries of the P 3 approximation to the Boltzmann neutron transport equation journal September 2020
Sensitivity Analysis Using Computer Calculus: A Nuclear Waste Isolation Application journal September 1986
Symmetry and separability of the neutron diffusion equation journal October 2018
Conditions for translation and scaling invariance of the neutron diffusion equation journal January 2019
Verification, validation, and predictive capability in computational engineering and physics journal September 2004
Feasibility and Incentives for Burnup Credit in Spent-Fuel Transport Casks journal January 1990
High energy neutron transmission analysis of dry cask storage
  • Greulich, Christopher; Hughes, Christopher; Gao, Yuan
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 874 https://doi.org/10.1016/j.nima.2017.08.014
journal December 2017
Radiation dose rate distributions of spent fuel dry casks estimated with MAVRIC based on detailed geometry and continuous-energy models journal July 2018