Neutron angular flux reconstruction in slab geometry using multigroup discrete ordinates transport models

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1. Verfasser: F. T. C. S Balbina
Format: Artículo científico
Sprache:en
Veröffentlicht: Sociedade Brasileira de Proteção Radiológica - SBPR 2020
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author F. T. C. S Balbina
author_facet F. T. C. S Balbina
contents Neutron angular flux reconstruction in slab geometry using multigroup discrete ordinates transport models F. T. C. S Balbina H. Alves Filho R. C. Barros Biología Neutron transport theory discrete Ordinate method angular reconstruction methodology In this article, we present an application of the coarse-mesh Deterministic Spectral Method (SDM) to generate multigroup angular fluxes in one-dimensional spatial domains using the neutron transport stationary equation, in the formulation of discrete ordinates (SN), considering isotropic scattering source. After obtaining the analytical solution of the SN equations, we replace the integral term of the scattering source in the original neutron transport equation. Thus, we obtain analytically two expressions for angular fluxes in the multigroup formulation, considering the neutron propagation in the positive ( μ > 0 ) and negative ( μ < 0 ) directions, presenting a meaningful reduction in the computational time of simulations of typical neutron shielding problems. 2020 artículo científico 2319-0612 https://www.redalyc.org/articulo.oa?id=722280924022 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_722280924022
institution Redalyc
language en
publishDate 2020
publisher Sociedade Brasileira de Proteção Radiológica - SBPR
spellingShingle Neutron angular flux reconstruction in slab geometry using multigroup discrete ordinates transport models
F. T. C. S Balbina
Biología
Neutron transport theory
discrete Ordinate method
angular reconstruction methodology
Neutron angular flux reconstruction in slab geometry using multigroup discrete ordinates transport models F. T. C. S Balbina H. Alves Filho R. C. Barros Biología Neutron transport theory discrete Ordinate method angular reconstruction methodology In this article, we present an application of the coarse-mesh Deterministic Spectral Method (SDM) to generate multigroup angular fluxes in one-dimensional spatial domains using the neutron transport stationary equation, in the formulation of discrete ordinates (SN), considering isotropic scattering source. After obtaining the analytical solution of the SN equations, we replace the integral term of the scattering source in the original neutron transport equation. Thus, we obtain analytically two expressions for angular fluxes in the multigroup formulation, considering the neutron propagation in the positive ( μ > 0 ) and negative ( μ < 0 ) directions, presenting a meaningful reduction in the computational time of simulations of typical neutron shielding problems. 2020 artículo científico 2319-0612 https://www.redalyc.org/articulo.oa?id=722280924022 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 Neutron angular flux reconstruction in slab geometry using multigroup discrete ordinates transport models
topic Biología
Neutron transport theory
discrete Ordinate method
angular reconstruction methodology
url https://www.redalyc.org/articulo.oa?id=722280924022