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

Dan Gabriel Cacuci
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Dan Gabriel Cacuci: Department of Mechanical Engineering, College of Engineering and Computing, University of South Carolina, Columbia, SC 29208, USA

Energies, 2021, vol. 14, issue 24, 1-49

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.

Keywords: high-order adjoint sensitivity systems; high-order sensitivities; monoenergetic neutron/photon transport; particle detector response; particle leakage response; reaction rate response; contributon-response flux (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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