76
Views
1
CrossRef citations to date
0
Altmetric
Computer Code Abstract

4th-Order-SENS: A Software Module for Efficient and Exact 4th-Order Sensitivity Analysis of Neutron Transport

ORCID Icon &
Pages 1682-1737 | Received 12 May 2023, Accepted 26 Aug 2023, Published online: 16 Oct 2023

References

  • D. G. CACUCI, The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology (nth-CASAM): Overcoming the Curse of Dimensionality in Sensitivity and Uncertainty Analysis, Volume I: Linear Systems, p. 362, Springer Nature, Cham, Switzerland (2022); https://doi.org/10.1007/978-3-030-96364-4.
  • J. A. FAVORITE, “SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage, keff, and α Using PARTISN,” Nucl. Sci. Eng., 192, 1, 80 (2018); https://doi.org/10.1080/00295639.2018.1471296.
  • R. E. ALCOUFFE et al., “PARTISN: A Time-Dependent, Parallel Neutral Particle Transport Code System,” LA-UR-08-7258, Los Alamos National Laboratory (2017).
  • W. B. WILSON et al., “SOURCES 4C: A Code for Calculating (α,n), Spontaneous Fission, and Delayed Neutron SOURCES and Spectra,” Proc. 12th Biennial Topl. Mtg. American Nuclear Society/Radiation Protection and Shielding Division, Santa Fe, New Mexico, 2002, American Nuclear Society (2002).
  • D. G. CACUCI, R. FANG, and J. A. FAVORITE, “Comprehensive Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) Applied to a Subcritical Experimental Reactor Physics Benchmark: I. Effects of Imprecisely Known Microscopic Total and Capture Cross Sections,” Energies, 12, 4219 (2019); https://doi.org/10.3390/en12214219.
  • R. FANG and D. G. CACUCI, “Comprehensive Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) Applied to a Subcritical Experimental Reactor Physics Benchmark: II. Effects of Imprecisely Known Microscopic Scattering Cross Sections,” Energies, 12, 21, 4114 (2019); https://doi.org/10.3390/en12214114.
  • D. G. CACUCI et al., “Comprehensive Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) Applied to a Subcritical Experimental Reactor Physics Benchmark: III. Effects of Imprecisely Known Microscopic Fission Cross Sections and Average Number of Neutrons per Fission,” Energies, 12, 21, 4100 (2019); https://doi.org/10.3390/en12214100.
  • D. G. CACUCI, R. FANG, and J. A. FAVORITE, “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,” Energies, 13, 7, 1674 (2020); https://doi.org/10.3390/en13071674.
  • R. FANG and D. G. CACUCI, “Comprehensive Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) Applied to a Subcritical Experimental Reactor Physics Benchmark. IV: Effects of Imprecisely Known Source Parameters,” Energies, 13, 1431 (2020); https://doi.org/10.3390/en13061431.
  • R. FANG and D. G. CACUCI, “Comprehensive Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) Applied to a Subcritical Experimental Reactor Physics Benchmark: V. Computation of 2nd-Order Sensitivities Involving Isotopic Number Densities,” Energies, 13, 10, 2580 (2020); https://doi.org/10.3390/en13102580.
  • D. G. CACUCI and R. FANG, “Third-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: I. Mathematical Framework,” Am. J. Comp. Math., 10, 503 (2021); https://doi.org/10.4236/ajcm.2021.112009.
  • D. G. CACUCI and R. FANG, “Fourth-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: II. Mathematical Expressions and CPU-Time Comparisons for Computing 4th-Order Sensitivities,” Am. J. Comp. Math., 11, 133 (2021); https://doi.org/10.4236/ajcm.2021.112010.
  • R. FANG and D. G. CACUCI, “Third-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: II. Computed Sensitivities,” Am. J. Comp. Math., 10, 529 (2020); https://doi.org/10.4236/ajcm.2020.104030.
  • R. FANG and D. G. CACUCI, “Fourth-Order Adjoint Sensitivity and Uncertainty Analysis of an OECD/NEA Reactor Physics Benchmark: I. Computed Sensitivities,” J. Nucl. Eng., 2, 281 (2021); https://doi.org/10.3390/jne2030024.
  • D. G. CACUCI and R. FANG, The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology (nth-CASAM): Overcoming the Curse of Dimensionality in Sensitivity and Uncertainty Analysis, Volume II: Application to a Large-Scale System, p. 463, Springer Nature, Cham, Switzerland (2023); https://doi.org/10.1007/978-3-031-19635-5.
  • R. E. BELLMAN, Dynamic Programming, Rand Corporation, Princeton University Press, 978-0-691-07951-6 (1957). R. E. BELLMAN, Dynamic Programming, Courier Dover Publications, 978-0-486-42809-3 (2003).
  • D. G. CACUCI, “Second-Order Adjoint Sensitivity Analysis Methodology for Computing Exactly and Efficiently First- and Second-Order Sensitivities in Large-Scale Linear Systems: I. Computational Methodology,” J. Comp. Phys., 284, 687 (2015); https://doi.org/10.1016/j.jcp.2014.12.042.
  • D. G. CACUCI, “Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) for Large-Scale Nonlinear Systems: I. Theory,” Nucl. Sci. Eng., 184, 16 (2016); https://doi.org/10.13182/NSE16-16.
  • D. G. CACUCI, The Second-Order Adjoint Sensitivity Analysis Methodology, CRC Press, Taylor & Francis Group, Boca Raton, Florida (2018).
  • D. G. CACUCI, “The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (nth-CASAM-L): I. Mathematical Framework,” Energies, 14, 8314 (2021); https://doi.org/10.3390/en14248314.
  • D. G. CACUCI, “The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (nth-CASAM-N): Mathematical Framework,” J. Nucl. Eng., 3, 163 (2022); https://doi.org/10.3390/jne3030010.
  • D. G. CACUCI, The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology (nth-CASAM): Overcoming the Curse of Dimensionality in Sensitivity and Uncertainty Analysis, Volume III: Nonlinear Systems, p. 369, Springer Nature, Cham, Switzerland (2023); https://doi.org/10.1007/978-3-031-22757-8.
  • R. FANG and D. G. CACUCI, “Second-Order MaxEnt Predictive Modelling Methodology. III: Illustrative Application to a Reactor Physics Benchmark,” Am. J. Comp. Math., 13, 295 (2023); https://doi.org/10.4236/ajcm.2023.132015.
  • D. G. CACUCI, “Second-Order MaxEnt Predictive Modelling Methodology. I: Deterministically Incorporated Computational Model (2nd-BERRU-PMD),” Am. J. Comp. Math., 13, 236 (2023); https://doi.org/10.4236/ajcm.2023.132013.
  • D. G. CACUCI, “Second-Order MaxEnt Predictive Modelling Methodology. II: Probabilistically Incorporated Computational Model (2nd-BERRU-PMP),” Am. J. Comp. Math., 13, 267 (2023); https://doi.org/10.4236/ajcm.2023.132014.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.