Stochastic Neutron Population with Temperature Feedback Effects Using the Implicit Runge-Kutta Scheme
Numerical simulations are carried out to study the temporal behaviour of the neutron population and the concentration of delayed neutron precursors in a nuclear power plant by solving the stochastic equations of point kinetics considering temperature feedback effects. These equations are solved thr...
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| Format: | Article |
| Language: | English |
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Tamkang University Press
2025-01-01
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| Series: | Journal of Applied Science and Engineering |
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| Online Access: | http://jase.tku.edu.tw/articles/jase-202508-28-08-0016 |
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| author | Daniel Suescún-Díaz |
| author_facet | Daniel Suescún-Díaz |
| author_sort | Daniel Suescún-Díaz |
| collection | DOAJ |
| description | Numerical simulations are carried out to study the temporal behaviour of the neutron population and the concentration of delayed neutron precursors in a nuclear power plant by solving the stochastic equations
of point kinetics considering temperature feedback effects. These equations are solved through the implicit Runge-Kutta scheme of order 1.5 with up to 500 Brownian motions. The computational cost can be reduced by using the analytical expression of the square root of the covariance matrix. The numerical simulations present good approximations in terms of means and standard deviations in agreement with other results using different numerical methods. The proposed scheme has good accuracy, it can be considered as an alternative method to simulate the time evolution of the stochastic density of the neutron population and the concentration of delayed
neutron precursors considering temperature feedback effects. |
| format | Article |
| id | doaj-art-1d2db203c5b54c488e8fdb9cbb2b4a97 |
| institution | Kabale University |
| issn | 2708-9967 2708-9975 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Tamkang University Press |
| record_format | Article |
| series | Journal of Applied Science and Engineering |
| spelling | doaj-art-1d2db203c5b54c488e8fdb9cbb2b4a972025-01-31T15:14:35ZengTamkang University PressJournal of Applied Science and Engineering2708-99672708-99752025-01-012881795180310.6180/jase.202508_28(8).0016Stochastic Neutron Population with Temperature Feedback Effects Using the Implicit Runge-Kutta SchemeDaniel Suescún-Díaz0Department of Exact and Natural Sciences, Applied Physics Group, Surcolombiana University, AA 385 Neiva, Colombia.Numerical simulations are carried out to study the temporal behaviour of the neutron population and the concentration of delayed neutron precursors in a nuclear power plant by solving the stochastic equations of point kinetics considering temperature feedback effects. These equations are solved through the implicit Runge-Kutta scheme of order 1.5 with up to 500 Brownian motions. The computational cost can be reduced by using the analytical expression of the square root of the covariance matrix. The numerical simulations present good approximations in terms of means and standard deviations in agreement with other results using different numerical methods. The proposed scheme has good accuracy, it can be considered as an alternative method to simulate the time evolution of the stochastic density of the neutron population and the concentration of delayed neutron precursors considering temperature feedback effects.http://jase.tku.edu.tw/articles/jase-202508-28-08-0016nuclear power plantnuclear reactorstochastic equations of point kineticsnumerical experimentreactivity |
| spellingShingle | Daniel Suescún-Díaz Stochastic Neutron Population with Temperature Feedback Effects Using the Implicit Runge-Kutta Scheme Journal of Applied Science and Engineering nuclear power plant nuclear reactor stochastic equations of point kinetics numerical experiment reactivity |
| title | Stochastic Neutron Population with Temperature Feedback Effects Using the Implicit Runge-Kutta Scheme |
| title_full | Stochastic Neutron Population with Temperature Feedback Effects Using the Implicit Runge-Kutta Scheme |
| title_fullStr | Stochastic Neutron Population with Temperature Feedback Effects Using the Implicit Runge-Kutta Scheme |
| title_full_unstemmed | Stochastic Neutron Population with Temperature Feedback Effects Using the Implicit Runge-Kutta Scheme |
| title_short | Stochastic Neutron Population with Temperature Feedback Effects Using the Implicit Runge-Kutta Scheme |
| title_sort | stochastic neutron population with temperature feedback effects using the implicit runge kutta scheme |
| topic | nuclear power plant nuclear reactor stochastic equations of point kinetics numerical experiment reactivity |
| url | http://jase.tku.edu.tw/articles/jase-202508-28-08-0016 |
| work_keys_str_mv | AT danielsuescundiaz stochasticneutronpopulationwithtemperaturefeedbackeffectsusingtheimplicitrungekuttascheme |