Linear Chain Method for Numerical Modelling of Burnup Systems
The theoretical aspects of the linear chain method for the numerical modelling of nuclear transmutation systems, and particularly regarding the transmutation trajectory analysis (TTA), are presented. The theoretical background of the TTA method, as an advanced version of the linear chain method, wit...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/6/1520 |
| _version_ | 1797541882694205440 |
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| author | Jerzy Cetnar Przemysław Stanisz Mikołaj Oettingen |
| author_facet | Jerzy Cetnar Przemysław Stanisz Mikołaj Oettingen |
| author_sort | Jerzy Cetnar |
| collection | DOAJ |
| description | The theoretical aspects of the linear chain method for the numerical modelling of nuclear transmutation systems, and particularly regarding the transmutation trajectory analysis (TTA), are presented. The theoretical background of the TTA method, as an advanced version of the linear chain method, with the detailed description of the applied mathematical set-up and graphical visualisation of transformation chains, is shown. As the TTA method was initially developed at the AGH University of Science and Technology almost 25 years ago, several numerical implementations were introduced worldwide, yet the mathematical improvements or alternative forms of solutions and numerical algorithms were reported since then. The method was also implemented and tested by different research groups, also in confrontation with alternative approaches to the nuclear transformation problem known as the matrix method. The aim of the paper is to present the background of the developed method and its advantages, clarify misunderstandings in the method perception and suggest unexplored options in numerical algorithm implementation. |
| first_indexed | 2024-03-10T13:22:57Z |
| format | Article |
| id | doaj.art-1f58f7cee34a42bcae15701f2dc746cd |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T13:22:57Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-1f58f7cee34a42bcae15701f2dc746cd2023-11-21T09:52:26ZengMDPI AGEnergies1996-10732021-03-01146152010.3390/en14061520Linear Chain Method for Numerical Modelling of Burnup SystemsJerzy Cetnar0Przemysław Stanisz1Mikołaj Oettingen2AGH University of Science and Technology, Faculty of Energy and Fuels, al. Mickiewicza 30, 30-059 Krakow, PolandAGH University of Science and Technology, Faculty of Energy and Fuels, al. Mickiewicza 30, 30-059 Krakow, PolandAGH University of Science and Technology, Faculty of Energy and Fuels, al. Mickiewicza 30, 30-059 Krakow, PolandThe theoretical aspects of the linear chain method for the numerical modelling of nuclear transmutation systems, and particularly regarding the transmutation trajectory analysis (TTA), are presented. The theoretical background of the TTA method, as an advanced version of the linear chain method, with the detailed description of the applied mathematical set-up and graphical visualisation of transformation chains, is shown. As the TTA method was initially developed at the AGH University of Science and Technology almost 25 years ago, several numerical implementations were introduced worldwide, yet the mathematical improvements or alternative forms of solutions and numerical algorithms were reported since then. The method was also implemented and tested by different research groups, also in confrontation with alternative approaches to the nuclear transformation problem known as the matrix method. The aim of the paper is to present the background of the developed method and its advantages, clarify misunderstandings in the method perception and suggest unexplored options in numerical algorithm implementation.https://www.mdpi.com/1996-1073/14/6/1520burnuptransmutationdecay |
| spellingShingle | Jerzy Cetnar Przemysław Stanisz Mikołaj Oettingen Linear Chain Method for Numerical Modelling of Burnup Systems Energies burnup transmutation decay |
| title | Linear Chain Method for Numerical Modelling of Burnup Systems |
| title_full | Linear Chain Method for Numerical Modelling of Burnup Systems |
| title_fullStr | Linear Chain Method for Numerical Modelling of Burnup Systems |
| title_full_unstemmed | Linear Chain Method for Numerical Modelling of Burnup Systems |
| title_short | Linear Chain Method for Numerical Modelling of Burnup Systems |
| title_sort | linear chain method for numerical modelling of burnup systems |
| topic | burnup transmutation decay |
| url | https://www.mdpi.com/1996-1073/14/6/1520 |
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