The adjoint transport problem applied to estimate neutral particle leakage in the discrete ordinates formulations
In source–detector problems, neutron leakage is a quantity of interest that could lead to improve shielding structures, thus reducing the dose received by humans. In this work, we apply an adjoint technique with spectral nodal methods to compute neutron leakage in multigroup one– and two–dimensiona...
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| Format: | Article |
| Language: | English |
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Brazilian Radiation Protection Society (Sociedade Brasileira de Proteção Radiológica, SBPR)
2022-10-01
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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/1850 |
| _version_ | 1811247972952834048 |
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| author | Jesús Pérez Curbelo Ricardo Carvalho de Barros |
| author_facet | Jesús Pérez Curbelo Ricardo Carvalho de Barros |
| author_sort | Jesús Pérez Curbelo |
| collection | DOAJ |
| description |
In source–detector problems, neutron leakage is a quantity of interest that could lead to improve shielding structures, thus reducing the dose received by humans. In this work, we apply an adjoint technique with spectral nodal methods to compute neutron leakage in multigroup one– and two–dimensional problems in the discrete ordinates (SN) formulation. The use of the adjoint technique to calculate the leakages due to various source distributions is very convenient as it is possible to run adjoint problems and store the neutron importance maps. Here we solve the homogeneous adjoint SN transport equation by considering unit outgoing adjoint flux at the boundary. In order to numerically solve slab– and X, Y–geometry problems, we use spectral nodal methods that have been widely applied and discussed in the literature. Numerical results are given to illustrate the present adjoint technique to estimate the neutron leakage for each energy group in source–detector problems. For all the test problems, the results obtained by the adjoint technique as described in this paper do agree with the results obtained by solving the analogous forward problem.
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| first_indexed | 2024-04-12T15:18:45Z |
| format | Article |
| id | doaj.art-b58c14aadc454de996f85867d4bf98af |
| institution | Directory Open Access Journal |
| issn | 2319-0612 |
| language | English |
| last_indexed | 2024-04-12T15:18:45Z |
| publishDate | 2022-10-01 |
| publisher | Brazilian Radiation Protection Society (Sociedade Brasileira de Proteção Radiológica, SBPR) |
| record_format | Article |
| series | Brazilian Journal of Radiation Sciences |
| spelling | doaj.art-b58c14aadc454de996f85867d4bf98af2022-12-22T03:27:32ZengBrazilian Radiation Protection Society (Sociedade Brasileira de Proteção Radiológica, SBPR)Brazilian Journal of Radiation Sciences2319-06122022-10-01103A10.15392/2319-0612.2022.1850The adjoint transport problem applied to estimate neutral particle leakage in the discrete ordinates formulationsJesús Pérez Curbelo0Ricardo Carvalho de Barros1Universidade Estadual de Santa Cruz (UESC)Instituto Politécnico - Campus da Universidade do Estado do Rio de Janeiro (IPRJ/UERJ) In source–detector problems, neutron leakage is a quantity of interest that could lead to improve shielding structures, thus reducing the dose received by humans. In this work, we apply an adjoint technique with spectral nodal methods to compute neutron leakage in multigroup one– and two–dimensional problems in the discrete ordinates (SN) formulation. The use of the adjoint technique to calculate the leakages due to various source distributions is very convenient as it is possible to run adjoint problems and store the neutron importance maps. Here we solve the homogeneous adjoint SN transport equation by considering unit outgoing adjoint flux at the boundary. In order to numerically solve slab– and X, Y–geometry problems, we use spectral nodal methods that have been widely applied and discussed in the literature. Numerical results are given to illustrate the present adjoint technique to estimate the neutron leakage for each energy group in source–detector problems. For all the test problems, the results obtained by the adjoint technique as described in this paper do agree with the results obtained by solving the analogous forward problem. https://bjrs.org.br/revista/index.php/REVISTA/article/view/1850neutron leakageadjoint transport problemdiscrete ordinatesspectral nodal methodenergy multigroup |
| spellingShingle | Jesús Pérez Curbelo Ricardo Carvalho de Barros The adjoint transport problem applied to estimate neutral particle leakage in the discrete ordinates formulations Brazilian Journal of Radiation Sciences neutron leakage adjoint transport problem discrete ordinates spectral nodal method energy multigroup |
| title | The adjoint transport problem applied to estimate neutral particle leakage in the discrete ordinates formulations |
| title_full | The adjoint transport problem applied to estimate neutral particle leakage in the discrete ordinates formulations |
| title_fullStr | The adjoint transport problem applied to estimate neutral particle leakage in the discrete ordinates formulations |
| title_full_unstemmed | The adjoint transport problem applied to estimate neutral particle leakage in the discrete ordinates formulations |
| title_short | The adjoint transport problem applied to estimate neutral particle leakage in the discrete ordinates formulations |
| title_sort | adjoint transport problem applied to estimate neutral particle leakage in the discrete ordinates formulations |
| topic | neutron leakage adjoint transport problem discrete ordinates spectral nodal method energy multigroup |
| url | https://bjrs.org.br/revista/index.php/REVISTA/article/view/1850 |
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