Calculation of Degenerated Eigenmodes with Modified Power Method
The modified power method has been studied by many researchers to calculate the higher eigenmodes and accelerate the convergence of the fundamental mode. Its application to multidimensional problems may be unstable due to degenerated or near-degenerated eigenmodes. Complex eigenmode solutions are oc...
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| Format: | Article |
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Elsevier
2017-02-01
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| Series: | Nuclear Engineering and Technology |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1738573316301474 |
| _version_ | 1828861512961228800 |
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| author | Peng Zhang Hyunsuk Lee Deokjung Lee |
| author_facet | Peng Zhang Hyunsuk Lee Deokjung Lee |
| author_sort | Peng Zhang |
| collection | DOAJ |
| description | The modified power method has been studied by many researchers to calculate the higher eigenmodes and accelerate the convergence of the fundamental mode. Its application to multidimensional problems may be unstable due to degenerated or near-degenerated eigenmodes. Complex eigenmode solutions are occasionally encountered in such cases, and the shapes of the corresponding eigenvectors may change during the simulation. These issues must be addressed for the successful implementation of the modified power method. Complex components are examined and an approximation method to eliminate the usage of the complex numbers is provided. A technique to fix the eigenvector shapes is also provided. The performance of the methods for dealing with those aforementioned problems is demonstrated with two dimensional one group and three dimensional one group homogeneous diffusion problems. |
| first_indexed | 2024-12-13T03:03:11Z |
| format | Article |
| id | doaj.art-8f86b264c7b74a14900f621bcf60c9af |
| institution | Directory Open Access Journal |
| issn | 1738-5733 |
| language | English |
| last_indexed | 2024-12-13T03:03:11Z |
| publishDate | 2017-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Engineering and Technology |
| spelling | doaj.art-8f86b264c7b74a14900f621bcf60c9af2022-12-22T00:01:47ZengElsevierNuclear Engineering and Technology1738-57332017-02-01491172810.1016/j.net.2016.08.009Calculation of Degenerated Eigenmodes with Modified Power MethodPeng Zhang0Hyunsuk Lee1Deokjung Lee2School of Power and Mechanical Engineering, Wuhan University, Bayilu 299, Wuchang District, Wuhan, Hubei, 430072, ChinaSchool of Mechanical and Nuclear Engineering, Ulsan National Institute of Science and Technology, UNIST-gil 50, Ulsan, 44919, Republic of KoreaSchool of Mechanical and Nuclear Engineering, Ulsan National Institute of Science and Technology, UNIST-gil 50, Ulsan, 44919, Republic of KoreaThe modified power method has been studied by many researchers to calculate the higher eigenmodes and accelerate the convergence of the fundamental mode. Its application to multidimensional problems may be unstable due to degenerated or near-degenerated eigenmodes. Complex eigenmode solutions are occasionally encountered in such cases, and the shapes of the corresponding eigenvectors may change during the simulation. These issues must be addressed for the successful implementation of the modified power method. Complex components are examined and an approximation method to eliminate the usage of the complex numbers is provided. A technique to fix the eigenvector shapes is also provided. The performance of the methods for dealing with those aforementioned problems is demonstrated with two dimensional one group and three dimensional one group homogeneous diffusion problems.http://www.sciencedirect.com/science/article/pii/S1738573316301474Complex Intermediate EigensolutionsDegenerated EigenmodesModified Power Method |
| spellingShingle | Peng Zhang Hyunsuk Lee Deokjung Lee Calculation of Degenerated Eigenmodes with Modified Power Method Nuclear Engineering and Technology Complex Intermediate Eigensolutions Degenerated Eigenmodes Modified Power Method |
| title | Calculation of Degenerated Eigenmodes with Modified Power Method |
| title_full | Calculation of Degenerated Eigenmodes with Modified Power Method |
| title_fullStr | Calculation of Degenerated Eigenmodes with Modified Power Method |
| title_full_unstemmed | Calculation of Degenerated Eigenmodes with Modified Power Method |
| title_short | Calculation of Degenerated Eigenmodes with Modified Power Method |
| title_sort | calculation of degenerated eigenmodes with modified power method |
| topic | Complex Intermediate Eigensolutions Degenerated Eigenmodes Modified Power Method |
| url | http://www.sciencedirect.com/science/article/pii/S1738573316301474 |
| work_keys_str_mv | AT pengzhang calculationofdegeneratedeigenmodeswithmodifiedpowermethod AT hyunsuklee calculationofdegeneratedeigenmodeswithmodifiedpowermethod AT deokjunglee calculationofdegeneratedeigenmodeswithmodifiedpowermethod |