The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X,Y–geometry
A new approach for the application of the coarse–mesh Modified Spectral Deterministic method to numerically solve the two–dimensional neutron transport equation in the discrete ordinates (Sn) formulation is presented in this work. The method is based on within node general solution of the convention...
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| Format: | Article |
| Language: | English |
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Brazilian Radiation Protection Society (Sociedade Brasileira de Proteção Radiológica, SBPR)
2021-02-01
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| Series: | Brazilian Journal of Radiation Sciences |
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| Online Access: | https://bjrs.org.br/revista/index.php/REVISTA/article/view/1268 |
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| author | Jesús Pérez Curbelo Rafael Barbosa Libotte Amaury Muñoz Oliva Ricardo Carvalho Barros Hermes Alves Filho |
| author_facet | Jesús Pérez Curbelo Rafael Barbosa Libotte Amaury Muñoz Oliva Ricardo Carvalho Barros Hermes Alves Filho |
| author_sort | Jesús Pérez Curbelo |
| collection | DOAJ |
| description | A new approach for the application of the coarse–mesh Modified Spectral Deterministic method to numerically solve the two–dimensional neutron transport equation in the discrete ordinates (Sn) formulation is presented in this work. The method is based on within node general solution of the conventional one–dimensional Sn transverse integrated equations considering constant approximations for the transverse leakage terms and obtaining the Sn spatial balance equations. The discretized equations are solved by using a modified Source Iteration scheme without additional approximations since the average angular fluxes are computed analytically in each iteration. The numerical algorithm of the method presented here is algebraically simpler than other spectral nodal methods in the literature for the type of problems we have considered. Numerical results to two typical model problems are presented to test the accuracy of the offered method. |
| format | Article |
| id | doaj-art-8a52f55ca2c84201b28f5ddd74f675e2 |
| institution | Kabale University |
| issn | 2319-0612 |
| language | English |
| publishDate | 2021-02-01 |
| publisher | Brazilian Radiation Protection Society (Sociedade Brasileira de Proteção Radiológica, SBPR) |
| record_format | Article |
| series | Brazilian Journal of Radiation Sciences |
| spelling | doaj-art-8a52f55ca2c84201b28f5ddd74f675e22025-08-20T03:30:25ZengBrazilian Radiation Protection Society (Sociedade Brasileira de Proteção Radiológica, SBPR)Brazilian Journal of Radiation Sciences2319-06122021-02-0183A (Suppl.)10.15392/bjrs.v8i3A.1268985The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X,Y–geometryJesús Pérez Curbelo0Rafael Barbosa Libotte1Amaury Muñoz Oliva2Ricardo Carvalho Barros3Hermes Alves Filho4Universidade do Estado do Rio de Janeiro - Instituto Politécnico (IPRJ/UERJ)Universidade do Estado do Rio de Janeiro - Instituto Politécnico (IPRJ/UERJ)Instituto de Pesquisas Energéticas e Nucleares, IPEN/CNENUniversidade do Estado do Rio de Janeiro - Instituto Politécnico (IPRJ/UERJ)Universidade do Estado do Rio de Janeiro - Instituto Politécnico (IPRJ/UERJ)A new approach for the application of the coarse–mesh Modified Spectral Deterministic method to numerically solve the two–dimensional neutron transport equation in the discrete ordinates (Sn) formulation is presented in this work. The method is based on within node general solution of the conventional one–dimensional Sn transverse integrated equations considering constant approximations for the transverse leakage terms and obtaining the Sn spatial balance equations. The discretized equations are solved by using a modified Source Iteration scheme without additional approximations since the average angular fluxes are computed analytically in each iteration. The numerical algorithm of the method presented here is algebraically simpler than other spectral nodal methods in the literature for the type of problems we have considered. Numerical results to two typical model problems are presented to test the accuracy of the offered method.https://bjrs.org.br/revista/index.php/REVISTA/article/view/1268deterministic methoddiscrete ordinates formulationfixed–sourcespectral analysis |
| spellingShingle | Jesús Pérez Curbelo Rafael Barbosa Libotte Amaury Muñoz Oliva Ricardo Carvalho Barros Hermes Alves Filho The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X,Y–geometry Brazilian Journal of Radiation Sciences deterministic method discrete ordinates formulation fixed–source spectral analysis |
| title | The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X,Y–geometry |
| title_full | The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X,Y–geometry |
| title_fullStr | The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X,Y–geometry |
| title_full_unstemmed | The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X,Y–geometry |
| title_short | The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X,Y–geometry |
| title_sort | modified spectral deterministic method applied to fixed source discrete ordinates problems in x y geometry |
| topic | deterministic method discrete ordinates formulation fixed–source spectral analysis |
| url | https://bjrs.org.br/revista/index.php/REVISTA/article/view/1268 |
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