A NOVEL COARSE-MESH METHOD APPLIED TO NEUTRON SHIELDING PROBLEMS USING THE MULTIGROUP TRANSPORT THEORY IN DISCRETE ORDINATES FORMULATIONS
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| Format: | Artículo científico |
| Language: | en |
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Sociedade Brasileira de Proteção Radiológica - SBPR
2020
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| author | Rafael Barbosa Libotte |
| author_facet | Rafael Barbosa Libotte |
| contents | A NOVEL COARSE-MESH METHOD APPLIED TO NEUTRON SHIELDING PROBLEMS USING THE MULTIGROUP TRANSPORT THEORY IN DISCRETE ORDINATES FORMULATIONS Rafael Barbosa Libotte Hermes Alves Filho Ricardo Carvalho de Barros Biología neutron shielding discrete ordinates mathematical modelling Neutron transport theory fixedsource calculations In this paper, we propose a new deterministic numerical methodology to solve the one-dimensional linearized Boltzmann equation applied to neutron shielding problems (fixed-source), using the transport equation in the discrete ordinates formulation (SN) considering the multigroup theory. This is a hybrid methodology, entitled Modified Spectral Deterministic Method (SDM-M), that derives from the Spectral Deterministic Method (SDM) and Diamond Difference (DD) methods. This modification in the SDM method aims to calculate neutron scalar fluxes with lower computational cost. Two model-problems are solved using the SDM-M, and the results are compared to the coarse-mesh methods SDM, Spectral Green's Function (SGF) and Response Matrix (RM), and the fine-mesh method DD. The numerical results were obtained in the programming language JAVA version 1.8.0_91. 2020 artículo científico 2319-0612 https://www.redalyc.org/articulo.oa?id=722280924021 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_722280924021 |
| institution | Redalyc |
| language | en |
| publishDate | 2020 |
| publisher | Sociedade Brasileira de Proteção Radiológica - SBPR |
| spellingShingle | A NOVEL COARSE-MESH METHOD APPLIED TO NEUTRON SHIELDING PROBLEMS USING THE MULTIGROUP TRANSPORT THEORY IN DISCRETE ORDINATES FORMULATIONS Rafael Barbosa Libotte Biología neutron shielding discrete ordinates mathematical modelling Neutron transport theory fixedsource calculations A NOVEL COARSE-MESH METHOD APPLIED TO NEUTRON SHIELDING PROBLEMS USING THE MULTIGROUP TRANSPORT THEORY IN DISCRETE ORDINATES FORMULATIONS Rafael Barbosa Libotte Hermes Alves Filho Ricardo Carvalho de Barros Biología neutron shielding discrete ordinates mathematical modelling Neutron transport theory fixedsource calculations In this paper, we propose a new deterministic numerical methodology to solve the one-dimensional linearized Boltzmann equation applied to neutron shielding problems (fixed-source), using the transport equation in the discrete ordinates formulation (SN) considering the multigroup theory. This is a hybrid methodology, entitled Modified Spectral Deterministic Method (SDM-M), that derives from the Spectral Deterministic Method (SDM) and Diamond Difference (DD) methods. This modification in the SDM method aims to calculate neutron scalar fluxes with lower computational cost. Two model-problems are solved using the SDM-M, and the results are compared to the coarse-mesh methods SDM, Spectral Green's Function (SGF) and Response Matrix (RM), and the fine-mesh method DD. The numerical results were obtained in the programming language JAVA version 1.8.0_91. 2020 artículo científico 2319-0612 https://www.redalyc.org/articulo.oa?id=722280924021 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 | A NOVEL COARSE-MESH METHOD APPLIED TO NEUTRON SHIELDING PROBLEMS USING THE MULTIGROUP TRANSPORT THEORY IN DISCRETE ORDINATES FORMULATIONS |
| topic | Biología neutron shielding discrete ordinates mathematical modelling Neutron transport theory fixedsource calculations |
| url | https://www.redalyc.org/articulo.oa?id=722280924021 |