A refined way of solving reactor point kinetics equations for imposed reactivity insertions
We apply the concept of convergence acceleration, also known as extrapolation, to find the solution of the reactor kinetics equations (RKEs). The method features simplicity in that an approximate finite difference formulation is constructed and converged to high accuracy from knowledge of the error...
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| Format: | Article |
| Language: | English |
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VINCA Institute of Nuclear Sciences
2009-01-01
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| Series: | Nuclear Technology and Radiation Protection |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/1451-3994/2009/1451-39940903157G.pdf |
| _version_ | 1828310420898709504 |
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| author | Ganapol Barry D. |
| author_facet | Ganapol Barry D. |
| author_sort | Ganapol Barry D. |
| collection | DOAJ |
| description | We apply the concept of convergence acceleration, also known as extrapolation, to find the solution of the reactor kinetics equations (RKEs). The method features simplicity in that an approximate finite difference formulation is constructed and converged to high accuracy from knowledge of the error term. Through the Romberg extrapolation, we demonstrate its high accuracy for a variety of imposed reactivity insertions found in the literature. The unique feature of the proposed algorithm, called RKE/R(omberg), is that no special attention is given to the stiffness of the RKEs. Finally, because of its simplicity and accuracy, the RKE/R algorithm is arguably the most efficient numerical solution of the RKEs developed to date. |
| first_indexed | 2024-04-13T15:44:35Z |
| format | Article |
| id | doaj.art-b198d4d80596447f8203aa0d6840f62f |
| institution | Directory Open Access Journal |
| issn | 1451-3994 |
| language | English |
| last_indexed | 2024-04-13T15:44:35Z |
| publishDate | 2009-01-01 |
| publisher | VINCA Institute of Nuclear Sciences |
| record_format | Article |
| series | Nuclear Technology and Radiation Protection |
| spelling | doaj.art-b198d4d80596447f8203aa0d6840f62f2022-12-22T02:41:03ZengVINCA Institute of Nuclear SciencesNuclear Technology and Radiation Protection1451-39942009-01-0124315716610.2298/NTRP0903157GA refined way of solving reactor point kinetics equations for imposed reactivity insertionsGanapol Barry D.We apply the concept of convergence acceleration, also known as extrapolation, to find the solution of the reactor kinetics equations (RKEs). The method features simplicity in that an approximate finite difference formulation is constructed and converged to high accuracy from knowledge of the error term. Through the Romberg extrapolation, we demonstrate its high accuracy for a variety of imposed reactivity insertions found in the literature. The unique feature of the proposed algorithm, called RKE/R(omberg), is that no special attention is given to the stiffness of the RKEs. Finally, because of its simplicity and accuracy, the RKE/R algorithm is arguably the most efficient numerical solution of the RKEs developed to date.http://www.doiserbia.nb.rs/img/doi/1451-3994/2009/1451-39940903157G.pdfnuclear reactor kineticsRomberg extrapolationreactivity insertionthermal reactorfast reactor |
| spellingShingle | Ganapol Barry D. A refined way of solving reactor point kinetics equations for imposed reactivity insertions Nuclear Technology and Radiation Protection nuclear reactor kinetics Romberg extrapolation reactivity insertion thermal reactor fast reactor |
| title | A refined way of solving reactor point kinetics equations for imposed reactivity insertions |
| title_full | A refined way of solving reactor point kinetics equations for imposed reactivity insertions |
| title_fullStr | A refined way of solving reactor point kinetics equations for imposed reactivity insertions |
| title_full_unstemmed | A refined way of solving reactor point kinetics equations for imposed reactivity insertions |
| title_short | A refined way of solving reactor point kinetics equations for imposed reactivity insertions |
| title_sort | refined way of solving reactor point kinetics equations for imposed reactivity insertions |
| topic | nuclear reactor kinetics Romberg extrapolation reactivity insertion thermal reactor fast reactor |
| url | http://www.doiserbia.nb.rs/img/doi/1451-3994/2009/1451-39940903157G.pdf |
| work_keys_str_mv | AT ganapolbarryd arefinedwayofsolvingreactorpointkineticsequationsforimposedreactivityinsertions AT ganapolbarryd refinedwayofsolvingreactorpointkineticsequationsforimposedreactivityinsertions |