The n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n<sup>th</sup>-CASAM-L): II. Illustrative Application
This work illustrates the application of the <i>n<sup>th</sup></i>-<i>order comprehensive adjoint sensitivity analysis methodology for response-coupled forward/adjoint linear systems</i> (abbreviated as “n<sup>th</sup>-CASAM-L”) to a paradigm model tha...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/24/8315 |
| _version_ | 1797505145647398912 |
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| author | Dan Gabriel Cacuci |
| author_facet | Dan Gabriel Cacuci |
| author_sort | Dan Gabriel Cacuci |
| collection | DOAJ |
| description | This work illustrates the application of the <i>n<sup>th</sup></i>-<i>order comprehensive adjoint sensitivity analysis methodology for response-coupled forward/adjoint linear systems</i> (abbreviated as “n<sup>th</sup>-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<sup>th</sup>-CASAM-L. The results presented in this work underscore the fundamentally important role of the n<sup>th</sup>-CASAM-L in the quest to overcome the “curse of dimensionality” in sensitivity analysis, uncertainty quantification and predictive modeling. |
| first_indexed | 2024-03-10T04:14:26Z |
| format | Article |
| id | doaj.art-c4b37a93af274040aa3a1c182d66273d |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T04:14:26Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-c4b37a93af274040aa3a1c182d66273d2023-11-23T08:05:33ZengMDPI AGEnergies1996-10732021-12-011424831510.3390/en14248315The n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n<sup>th</sup>-CASAM-L): II. Illustrative ApplicationDan Gabriel Cacuci0Department of Mechanical Engineering, College of Engineering and Computing, University of South Carolina, Columbia, SC 29208, USAThis work illustrates the application of the <i>n<sup>th</sup></i>-<i>order comprehensive adjoint sensitivity analysis methodology for response-coupled forward/adjoint linear systems</i> (abbreviated as “n<sup>th</sup>-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<sup>th</sup>-CASAM-L. The results presented in this work underscore the fundamentally important role of the n<sup>th</sup>-CASAM-L in the quest to overcome the “curse of dimensionality” in sensitivity analysis, uncertainty quantification and predictive modeling.https://www.mdpi.com/1996-1073/14/24/8315high-order adjoint sensitivity systemshigh-order sensitivitiesmonoenergetic neutron/photon transportparticle detector responseparticle leakage responsereaction rate response |
| spellingShingle | Dan Gabriel Cacuci The n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n<sup>th</sup>-CASAM-L): II. Illustrative Application Energies high-order adjoint sensitivity systems high-order sensitivities monoenergetic neutron/photon transport particle detector response particle leakage response reaction rate response |
| title | The n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n<sup>th</sup>-CASAM-L): II. Illustrative Application |
| title_full | The n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n<sup>th</sup>-CASAM-L): II. Illustrative Application |
| title_fullStr | The n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n<sup>th</sup>-CASAM-L): II. Illustrative Application |
| title_full_unstemmed | The n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n<sup>th</sup>-CASAM-L): II. Illustrative Application |
| title_short | The n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (n<sup>th</sup>-CASAM-L): II. Illustrative Application |
| title_sort | n sup th sup order comprehensive adjoint sensitivity analysis methodology for response coupled forward adjoint linear systems n sup th sup casam l ii illustrative application |
| topic | high-order adjoint sensitivity systems high-order sensitivities monoenergetic neutron/photon transport particle detector response particle leakage response reaction rate response |
| url | https://www.mdpi.com/1996-1073/14/24/8315 |
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