The modified spectral deterministic method applied to fixed–source discrete ordinates problems in , – geometry
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Sociedade Brasileira de Proteção Radiológica - SBPR
2020
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| _version_ | 1876491169898168320 |
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| author | Jesús Pérez Curbelo |
| author_facet | Jesús Pérez Curbelo |
| contents | The modified spectral deterministic method applied to fixed–source discrete ordinates problems in , – geometry Jesús Pérez Curbelo Rafael Barbosa Libotte Amaury Muñoz Oliva Ricardo Carvalho Barros Hermes Alves Filho Biología fixed source spectral analysis Deterministic method discrete ordinates formulation 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 () formulation is presented in this work. The method is based on within node general solution of the conventional one–dimensional transverse integrated equations considering constant approximations for the transverse leakage terms and obtaining the 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. 2020 artículo científico 2319-0612 https://www.redalyc.org/articulo.oa?id=722280924002 en http://www.redalyc.org/revista.oa?id=7222 Brazilian Journal of Radiation Sciences application/pdf Sociedade Brasileira de Proteção Radiológica - SBPR Brazilian Journal of Radiation Sciences (Brasil) Num.3A Vol.8 |
| format | Artículo científico |
| id | redalyc_722280924002 |
| institution | Redalyc |
| language | en |
| publishDate | 2020 |
| publisher | Sociedade Brasileira de Proteção Radiológica - SBPR |
| spellingShingle | The modified spectral deterministic method applied to fixed–source discrete ordinates problems in , – geometry Jesús Pérez Curbelo Biología fixed source spectral analysis Deterministic method discrete ordinates formulation The modified spectral deterministic method applied to fixed–source discrete ordinates problems in , – geometry Jesús Pérez Curbelo Rafael Barbosa Libotte Amaury Muñoz Oliva Ricardo Carvalho Barros Hermes Alves Filho Biología fixed source spectral analysis Deterministic method discrete ordinates formulation 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 () formulation is presented in this work. The method is based on within node general solution of the conventional one–dimensional transverse integrated equations considering constant approximations for the transverse leakage terms and obtaining the 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. 2020 artículo científico 2319-0612 https://www.redalyc.org/articulo.oa?id=722280924002 en http://www.redalyc.org/revista.oa?id=7222 Brazilian Journal of Radiation Sciences application/pdf Sociedade Brasileira de Proteção Radiológica - SBPR Brazilian Journal of Radiation Sciences (Brasil) Num.3A Vol.8 |
| title | The modified spectral deterministic method applied to fixed–source discrete ordinates problems in , – geometry |
| topic | Biología fixed source spectral analysis Deterministic method discrete ordinates formulation |
| url | https://www.redalyc.org/articulo.oa?id=722280924002 |