Acceleration of step and linear discontinuous schemes for the method of characteristics in DRAGON5
The applicability of the algebraic collapsing acceleration (ACA) technique to the method of characteristics (MOC) in cases with scattering anisotropy and/or linear sources was investigated. Previously, the ACA was proven successful in cases with isotropic scattering and uniform (step) sources. A pre...
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| Format: | Article |
| Language: | English |
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Elsevier
2017-09-01
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| Series: | Nuclear Engineering and Technology |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1738573317303893 |
| _version_ | 1818475712218136576 |
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| author | Alain Hébert |
| author_facet | Alain Hébert |
| author_sort | Alain Hébert |
| collection | DOAJ |
| description | The applicability of the algebraic collapsing acceleration (ACA) technique to the method of characteristics (MOC) in cases with scattering anisotropy and/or linear sources was investigated. Previously, the ACA was proven successful in cases with isotropic scattering and uniform (step) sources. A presentation is first made of the MOC implementation, available in the DRAGON5 code. Two categories of schemes are available for integrating the propagation equations: (1) the first category is based on exact integration and leads to the classical step characteristics (SC) and linear discontinuous characteristics (LDC) schemes and (2) the second category leads to diamond differencing schemes of various orders in space. The acceleration of these MOC schemes using a combination of the generalized minimal residual [GMRES(m)] method preconditioned with the ACA technique was focused on. Numerical results are provided for a two-dimensional (2D) eight-symmetry pressurized water reactor (PWR) assembly mockup in the context of the DRAGON5 code. |
| first_indexed | 2024-12-10T09:16:15Z |
| format | Article |
| id | doaj.art-302353de846f46e596f114cfd7ab9ebb |
| institution | Directory Open Access Journal |
| issn | 1738-5733 |
| language | English |
| last_indexed | 2024-12-10T09:16:15Z |
| publishDate | 2017-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Engineering and Technology |
| spelling | doaj.art-302353de846f46e596f114cfd7ab9ebb2022-12-22T01:54:52ZengElsevierNuclear Engineering and Technology1738-57332017-09-014961135114210.1016/j.net.2017.07.004Acceleration of step and linear discontinuous schemes for the method of characteristics in DRAGON5Alain HébertThe applicability of the algebraic collapsing acceleration (ACA) technique to the method of characteristics (MOC) in cases with scattering anisotropy and/or linear sources was investigated. Previously, the ACA was proven successful in cases with isotropic scattering and uniform (step) sources. A presentation is first made of the MOC implementation, available in the DRAGON5 code. Two categories of schemes are available for integrating the propagation equations: (1) the first category is based on exact integration and leads to the classical step characteristics (SC) and linear discontinuous characteristics (LDC) schemes and (2) the second category leads to diamond differencing schemes of various orders in space. The acceleration of these MOC schemes using a combination of the generalized minimal residual [GMRES(m)] method preconditioned with the ACA technique was focused on. Numerical results are provided for a two-dimensional (2D) eight-symmetry pressurized water reactor (PWR) assembly mockup in the context of the DRAGON5 code.http://www.sciencedirect.com/science/article/pii/S1738573317303893Method of characteristicsLinear discontinuous sourceAlgebraic collapsing accelerationGeneralized minimal residual acceleration methodDRAGON5 code |
| spellingShingle | Alain Hébert Acceleration of step and linear discontinuous schemes for the method of characteristics in DRAGON5 Nuclear Engineering and Technology Method of characteristics Linear discontinuous source Algebraic collapsing acceleration Generalized minimal residual acceleration method DRAGON5 code |
| title | Acceleration of step and linear discontinuous schemes for the method of characteristics in DRAGON5 |
| title_full | Acceleration of step and linear discontinuous schemes for the method of characteristics in DRAGON5 |
| title_fullStr | Acceleration of step and linear discontinuous schemes for the method of characteristics in DRAGON5 |
| title_full_unstemmed | Acceleration of step and linear discontinuous schemes for the method of characteristics in DRAGON5 |
| title_short | Acceleration of step and linear discontinuous schemes for the method of characteristics in DRAGON5 |
| title_sort | acceleration of step and linear discontinuous schemes for the method of characteristics in dragon5 |
| topic | Method of characteristics Linear discontinuous source Algebraic collapsing acceleration Generalized minimal residual acceleration method DRAGON5 code |
| url | http://www.sciencedirect.com/science/article/pii/S1738573317303893 |
| work_keys_str_mv | AT alainhebert accelerationofstepandlineardiscontinuousschemesforthemethodofcharacteristicsindragon5 |