On the spectrum of discrete–ordinates neutron transport problems
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| Format: | Artículo científico |
| Language: | en |
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Sociedade Brasileira de Proteção Radiológica - SBPR
2021
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| _version_ | 1876425079926030336 |
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| author | Jesús Pérez Curbelo |
| author_facet | Jesús Pérez Curbelo |
| contents | On the spectrum of discrete–ordinates neutron transport problems Jesús Pérez Curbelo Biología spectral analysis Transport equation discrete ordinates discrete eigenvalues anisotropic scattering Over the last six decades, the discrete spectrum of the neutron transport operator has been widely studied. Significant theoretical results can be found in the literature regarding the one–speed linear transport equation with anisotropic scattering. In this study, the discrete–ordinates () transport problem with anisotropic scattering has been considered and the discrete spectrum results in multiplying media have been corroborated. The numerical results obtained for the dominant eigenvalues agreed with the ones for the analytic problem reported in the literature up to a triplet scattering order. A compact methodology to perform the spectral analysis to multigroup problems with high anisotropy order in the scattering and fission reactions is also presented in this paper. 2021 artículo científico 2319-0612 https://www.redalyc.org/articulo.oa?id=722280947005 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.2 Vol.9 |
| format | Artículo científico |
| id | redalyc_722280947005 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Sociedade Brasileira de Proteção Radiológica - SBPR |
| spellingShingle | On the spectrum of discrete–ordinates neutron transport problems Jesús Pérez Curbelo Biología spectral analysis Transport equation discrete ordinates discrete eigenvalues anisotropic scattering On the spectrum of discrete–ordinates neutron transport problems Jesús Pérez Curbelo Biología spectral analysis Transport equation discrete ordinates discrete eigenvalues anisotropic scattering Over the last six decades, the discrete spectrum of the neutron transport operator has been widely studied. Significant theoretical results can be found in the literature regarding the one–speed linear transport equation with anisotropic scattering. In this study, the discrete–ordinates () transport problem with anisotropic scattering has been considered and the discrete spectrum results in multiplying media have been corroborated. The numerical results obtained for the dominant eigenvalues agreed with the ones for the analytic problem reported in the literature up to a triplet scattering order. A compact methodology to perform the spectral analysis to multigroup problems with high anisotropy order in the scattering and fission reactions is also presented in this paper. 2021 artículo científico 2319-0612 https://www.redalyc.org/articulo.oa?id=722280947005 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.2 Vol.9 |
| title | On the spectrum of discrete–ordinates neutron transport problems |
| topic | Biología spectral analysis Transport equation discrete ordinates discrete eigenvalues anisotropic scattering |
| url | https://www.redalyc.org/articulo.oa?id=722280947005 |