On the spectral Green’s function-constant nodal method for fixed-source SN problems in X,Y-geometry with arbitrary L’th-order anisotropic scattering
Presented here is an extension of the spectral Green’s function-constant nodal (SGF-CN) method for the numerical solution of energy multigroup, fixed-source, discrete ordinates (SN) problems in X, Y-geometry with arbitrary L’th-order of scattering anisotropy, provided L<N. This analytical coarse-...
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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/1490 |
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| author | Welton Menezes Gustavo Alvarez Ricardo Barros |
| author_facet | Welton Menezes Gustavo Alvarez Ricardo Barros |
| author_sort | Welton Menezes |
| collection | DOAJ |
| description | Presented here is an extension of the spectral Green’s function-constant nodal (SGF-CN) method for the numerical solution of energy multigroup, fixed-source, discrete ordinates (SN) problems in X, Y-geometry with arbitrary L’th-order of scattering anisotropy, provided L<N. This analytical coarse-mesh method uses the multigroup SGF method for numerically solving the one-dimensional transverse-integrated SN nodal equations with constant approximations for the transverse leakage terms. The only approximations in the present version of the SGF-CN method occur in these transverse leakage terms, as the energy-group transfer scattering source terms are treated analytically within the offered method. Numerical results to typical model problems are given to illustrate the method’s accuracy and to analyze the efficiency of the offered SGF-CN computer code for neutral particle transport calculations. |
| format | Article |
| id | doaj-art-f4abd12d0f6e492380116a48866b3f12 |
| institution | Matheson Library |
| 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-f4abd12d0f6e492380116a48866b3f122025-07-16T01:03:27ZengBrazilian Radiation Protection Society (Sociedade Brasileira de Proteção Radiológica, SBPR)Brazilian Journal of Radiation Sciences2319-06122021-02-0183A (Suppl.)10.15392/bjrs.v8i3A.14901154On the spectral Green’s function-constant nodal method for fixed-source SN problems in X,Y-geometry with arbitrary L’th-order anisotropic scatteringWelton Menezes0Gustavo Alvarez1Ricardo Barros2Fluminense Federal UniversityFluminense Federal UniversityRio de Janeiro State UniversityPresented here is an extension of the spectral Green’s function-constant nodal (SGF-CN) method for the numerical solution of energy multigroup, fixed-source, discrete ordinates (SN) problems in X, Y-geometry with arbitrary L’th-order of scattering anisotropy, provided L<N. This analytical coarse-mesh method uses the multigroup SGF method for numerically solving the one-dimensional transverse-integrated SN nodal equations with constant approximations for the transverse leakage terms. The only approximations in the present version of the SGF-CN method occur in these transverse leakage terms, as the energy-group transfer scattering source terms are treated analytically within the offered method. Numerical results to typical model problems are given to illustrate the method’s accuracy and to analyze the efficiency of the offered SGF-CN computer code for neutral particle transport calculations.https://bjrs.org.br/revista/index.php/REVISTA/article/view/1490energy multigroupfixed sourcediscrete ordinatesanisotropic scattering. |
| spellingShingle | Welton Menezes Gustavo Alvarez Ricardo Barros On the spectral Green’s function-constant nodal method for fixed-source SN problems in X,Y-geometry with arbitrary L’th-order anisotropic scattering Brazilian Journal of Radiation Sciences energy multigroup fixed source discrete ordinates anisotropic scattering. |
| title | On the spectral Green’s function-constant nodal method for fixed-source SN problems in X,Y-geometry with arbitrary L’th-order anisotropic scattering |
| title_full | On the spectral Green’s function-constant nodal method for fixed-source SN problems in X,Y-geometry with arbitrary L’th-order anisotropic scattering |
| title_fullStr | On the spectral Green’s function-constant nodal method for fixed-source SN problems in X,Y-geometry with arbitrary L’th-order anisotropic scattering |
| title_full_unstemmed | On the spectral Green’s function-constant nodal method for fixed-source SN problems in X,Y-geometry with arbitrary L’th-order anisotropic scattering |
| title_short | On the spectral Green’s function-constant nodal method for fixed-source SN problems in X,Y-geometry with arbitrary L’th-order anisotropic scattering |
| title_sort | on the spectral green s function constant nodal method for fixed source sn problems in x y geometry with arbitrary l th order anisotropic scattering |
| topic | energy multigroup fixed source discrete ordinates anisotropic scattering. |
| url | https://bjrs.org.br/revista/index.php/REVISTA/article/view/1490 |
| work_keys_str_mv | AT weltonmenezes onthespectralgreensfunctionconstantnodalmethodforfixedsourcesnproblemsinxygeometrywitharbitrarylthorderanisotropicscattering AT gustavoalvarez onthespectralgreensfunctionconstantnodalmethodforfixedsourcesnproblemsinxygeometrywitharbitrarylthorderanisotropicscattering AT ricardobarros onthespectralgreensfunctionconstantnodalmethodforfixedsourcesnproblemsinxygeometrywitharbitrarylthorderanisotropicscattering |