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The n th -Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n th -CASAM-L): II. Illustrative Application

Author

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  • Dan Gabriel Cacuci

    (Department of Mechanical Engineering, College of Engineering and Computing, University of South Carolina, Columbia, SC 29208, USA)

Abstract

This work illustrates the application of the n th - order comprehensive adjoint sensitivity analysis methodology for response-coupled forward/adjoint linear systems (abbreviated as “n th -CASAM-L”) to a paradigm model that describes the transmission of particles (neutrons and/or photons) through homogenized materials, as encountered in radiation protection and shielding. The first-, second-, and third-order sensitivities of responses that depend on both the forward and adjoint particle fluxes are obtained exactly, in closed-form, underscoring the principles and methodology underlying the n th -CASAM-L. The results presented in this work underscore the fundamentally important role of the n th -CASAM-L in the quest to overcome the “curse of dimensionality” in sensitivity analysis, uncertainty quantification and predictive modeling.

Suggested Citation

  • Dan Gabriel Cacuci, 2021. "The n th -Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n th -CASAM-L): II. Illustrative Application," Energies, MDPI, vol. 14(24), pages 1-49, December.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:24:p:8315-:d:699146
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    1. Dan Gabriel Cacuci, 2021. "The n th -Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n th -CASAM-L): I. Mathematical Framework," Energies, MDPI, vol. 14(24), pages 1-42, December.
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    Cited by:

    1. Dan Gabriel Cacuci, 2023. "Computation of High-Order Sensitivities of Model Responses to Model Parameters—I: Underlying Motivation and Current Methods," Energies, MDPI, vol. 16(17), pages 1-31, September.
    2. Dan Gabriel Cacuci, 2022. "Sensitivity Analysis, Uncertainty Quantification and Predictive Modeling of Nuclear Energy Systems," Energies, MDPI, vol. 15(17), pages 1-7, September.

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    1. Dan Gabriel Cacuci, 2023. "Computation of High-Order Sensitivities of Model Responses to Model Parameters—I: Underlying Motivation and Current Methods," Energies, MDPI, vol. 16(17), pages 1-31, September.
    2. Dan Gabriel Cacuci, 2022. "Sensitivity Analysis, Uncertainty Quantification and Predictive Modeling of Nuclear Energy Systems," Energies, MDPI, vol. 15(17), pages 1-7, September.
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