Spectral-Nodal Deterministic Methodology for Neutron Shielding Calculations using the X, Y - geometry Multigroup Transport Equation in the Discrete Ordinates Formulation
In this work, we present the most recent numerical results in a nodal approach, which resulted in the development of a new numerical spectral nodal method, based on the spectral analysis of the multigroup, isotropic scattering neutron transport equations in the discrete ordinates ($S_N$) formulation...
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| Format: | Article |
| Language: | English |
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Universidade Federal do Rio Grande
2021-11-01
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| Series: | Vetor |
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| Online Access: | https://periodicos.furg.br/vetor/article/view/13472 |
| _version_ | 1798003075358654464 |
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| author | Amaury Munoz Oliva Hermes Alves Filho |
| author_facet | Amaury Munoz Oliva Hermes Alves Filho |
| author_sort | Amaury Munoz Oliva |
| collection | DOAJ |
| description | In this work, we present the most recent numerical results in a nodal approach, which resulted in the development of a new numerical spectral nodal method, based on the spectral analysis of the multigroup, isotropic scattering neutron transport equations in the discrete ordinates ($S_N$) formulation for fixed-source calculations in non-multiplying media (shielding problems). The numerical results refer to simulations of typical problems from the reactor physics field, in rectangular two-dimensional Cartesian geometry, $X, Y$ geometry, and are compared with the traditional Diamond Difference ($DD$) fine-mesh method results, used as a reference, and the spectral coarse-mesh method Green's function ($SGF$) results. |
| first_indexed | 2024-04-11T12:02:09Z |
| format | Article |
| id | doaj.art-be84332e81dc4f8984ca14a7256d4513 |
| institution | Directory Open Access Journal |
| issn | 0102-7352 2358-3452 |
| language | English |
| last_indexed | 2024-04-11T12:02:09Z |
| publishDate | 2021-11-01 |
| publisher | Universidade Federal do Rio Grande |
| record_format | Article |
| series | Vetor |
| spelling | doaj.art-be84332e81dc4f8984ca14a7256d45132022-12-22T04:24:49ZengUniversidade Federal do Rio GrandeVetor0102-73522358-34522021-11-01311Spectral-Nodal Deterministic Methodology for Neutron Shielding Calculations using the X, Y - geometry Multigroup Transport Equation in the Discrete Ordinates FormulationAmaury Munoz OlivaHermes Alves Filho0Instituto Politécnico, Universidade do Estado do Rio de Janeiro, IPRJ / UERJIn this work, we present the most recent numerical results in a nodal approach, which resulted in the development of a new numerical spectral nodal method, based on the spectral analysis of the multigroup, isotropic scattering neutron transport equations in the discrete ordinates ($S_N$) formulation for fixed-source calculations in non-multiplying media (shielding problems). The numerical results refer to simulations of typical problems from the reactor physics field, in rectangular two-dimensional Cartesian geometry, $X, Y$ geometry, and are compared with the traditional Diamond Difference ($DD$) fine-mesh method results, used as a reference, and the spectral coarse-mesh method Green's function ($SGF$) results.https://periodicos.furg.br/vetor/article/view/13472Neutron Transport TheoryShielding CalculationsSpectral Nodal Method |
| spellingShingle | Amaury Munoz Oliva Hermes Alves Filho Spectral-Nodal Deterministic Methodology for Neutron Shielding Calculations using the X, Y - geometry Multigroup Transport Equation in the Discrete Ordinates Formulation Vetor Neutron Transport Theory Shielding Calculations Spectral Nodal Method |
| title | Spectral-Nodal Deterministic Methodology for Neutron Shielding Calculations using the X, Y - geometry Multigroup Transport Equation in the Discrete Ordinates Formulation |
| title_full | Spectral-Nodal Deterministic Methodology for Neutron Shielding Calculations using the X, Y - geometry Multigroup Transport Equation in the Discrete Ordinates Formulation |
| title_fullStr | Spectral-Nodal Deterministic Methodology for Neutron Shielding Calculations using the X, Y - geometry Multigroup Transport Equation in the Discrete Ordinates Formulation |
| title_full_unstemmed | Spectral-Nodal Deterministic Methodology for Neutron Shielding Calculations using the X, Y - geometry Multigroup Transport Equation in the Discrete Ordinates Formulation |
| title_short | Spectral-Nodal Deterministic Methodology for Neutron Shielding Calculations using the X, Y - geometry Multigroup Transport Equation in the Discrete Ordinates Formulation |
| title_sort | spectral nodal deterministic methodology for neutron shielding calculations using the x y geometry multigroup transport equation in the discrete ordinates formulation |
| topic | Neutron Transport Theory Shielding Calculations Spectral Nodal Method |
| url | https://periodicos.furg.br/vetor/article/view/13472 |
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