Incorporation of anisotropic scattering into the method of characteristics
In this study, we incorporate an anisotropic scattering scheme involving spherical harmonics into the method of characteristics (MOC). The neutron transport solution in a light water reactor can be significantly improved because of the impact of an anisotropic scattering source with the MOC flat sou...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-09-01
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| Series: | Nuclear Engineering and Technology |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1738573322001826 |
| _version_ | 1811281218975563776 |
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| author | Anisur Rahman Deokjung Lee |
| author_facet | Anisur Rahman Deokjung Lee |
| author_sort | Anisur Rahman |
| collection | DOAJ |
| description | In this study, we incorporate an anisotropic scattering scheme involving spherical harmonics into the method of characteristics (MOC). The neutron transport solution in a light water reactor can be significantly improved because of the impact of an anisotropic scattering source with the MOC flat source approximation. Several problems are selected to verify the proposed scheme and investigate its effects and accuracy. The MOC anisotropic scattering source is based on the expansion of spherical harmonics with Legendre polynomial functions. The angular flux, scattering source, and cross section are expanded in terms of the surface spherical harmonics. Later, the polynomial is expanded to achieve the odd and even parity of the source components. Ultimately, the MOC angular and scalar fluxes are calculated from a combination of two sources. This paper presents various numerical examples that represent the hot and cold conditions of a reactor core with boron concentration, burnable absorbers, and control rod materials, with and without a reflector or baffle. Moreover, a small critical core problem is considered which involves significant neutron leakage at room temperature. We demonstrate that an anisotropic scattering source significantly improves solution accuracy for the small core high-leakage problem, as well as for practical large core analyses. |
| first_indexed | 2024-04-13T01:28:36Z |
| format | Article |
| id | doaj.art-440e18ef84514d50b2ef545d94ff6ec8 |
| institution | Directory Open Access Journal |
| issn | 1738-5733 |
| language | English |
| last_indexed | 2024-04-13T01:28:36Z |
| publishDate | 2022-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Engineering and Technology |
| spelling | doaj.art-440e18ef84514d50b2ef545d94ff6ec82022-12-22T03:08:34ZengElsevierNuclear Engineering and Technology1738-57332022-09-0154934783487Incorporation of anisotropic scattering into the method of characteristicsAnisur Rahman0Deokjung Lee1Department of Nuclear Engineering, Ulsan National Institute of Science and Technology, 50 UNIST-gil, Ulsan, 44919, Republic of KoreaCorresponding author.; Department of Nuclear Engineering, Ulsan National Institute of Science and Technology, 50 UNIST-gil, Ulsan, 44919, Republic of KoreaIn this study, we incorporate an anisotropic scattering scheme involving spherical harmonics into the method of characteristics (MOC). The neutron transport solution in a light water reactor can be significantly improved because of the impact of an anisotropic scattering source with the MOC flat source approximation. Several problems are selected to verify the proposed scheme and investigate its effects and accuracy. The MOC anisotropic scattering source is based on the expansion of spherical harmonics with Legendre polynomial functions. The angular flux, scattering source, and cross section are expanded in terms of the surface spherical harmonics. Later, the polynomial is expanded to achieve the odd and even parity of the source components. Ultimately, the MOC angular and scalar fluxes are calculated from a combination of two sources. This paper presents various numerical examples that represent the hot and cold conditions of a reactor core with boron concentration, burnable absorbers, and control rod materials, with and without a reflector or baffle. Moreover, a small critical core problem is considered which involves significant neutron leakage at room temperature. We demonstrate that an anisotropic scattering source significantly improves solution accuracy for the small core high-leakage problem, as well as for practical large core analyses.http://www.sciencedirect.com/science/article/pii/S1738573322001826Neutron transportMethod of characteristicsSpherical harmonicsLegendre functions |
| spellingShingle | Anisur Rahman Deokjung Lee Incorporation of anisotropic scattering into the method of characteristics Nuclear Engineering and Technology Neutron transport Method of characteristics Spherical harmonics Legendre functions |
| title | Incorporation of anisotropic scattering into the method of characteristics |
| title_full | Incorporation of anisotropic scattering into the method of characteristics |
| title_fullStr | Incorporation of anisotropic scattering into the method of characteristics |
| title_full_unstemmed | Incorporation of anisotropic scattering into the method of characteristics |
| title_short | Incorporation of anisotropic scattering into the method of characteristics |
| title_sort | incorporation of anisotropic scattering into the method of characteristics |
| topic | Neutron transport Method of characteristics Spherical harmonics Legendre functions |
| url | http://www.sciencedirect.com/science/article/pii/S1738573322001826 |
| work_keys_str_mv | AT anisurrahman incorporationofanisotropicscatteringintothemethodofcharacteristics AT deokjunglee incorporationofanisotropicscatteringintothemethodofcharacteristics |