Research on pin-by-pin calculation method of rectangular mesh based on quasi-diffusion theory
•A pin-by-pin method of rectangular mesh based on quasi-diffusion theory was developed.•A MOC-based deterministic code ALPHA was developed to generate the Eddington factor.•This pin-by-pin method has similar accuracy as P3 and similar efficiency as diffusion calculation. With the development of nucl...
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| Published in | Annals of nuclear energy Vol. 205; p. 110584 |
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| Main Authors | , , , , , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
15.09.2024
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| Abstract | •A pin-by-pin method of rectangular mesh based on quasi-diffusion theory was developed.•A MOC-based deterministic code ALPHA was developed to generate the Eddington factor.•This pin-by-pin method has similar accuracy as P3 and similar efficiency as diffusion calculation.
With the development of nuclear energy techniques, pin-by-pin calculation using the SP3 method based on pin cell homogenization attracts researchers. This study proposed a pin-by-pin calculation method of rectangular mesh based on quasi-diffusion (QD) theory. The QD equation and boundary condition were derived from a transport equation similar to the P1 equation derivation. The Eddington factor was treated as a few-group homogenized parameter and calculated based on a deterministic code ALPHA. The numerical method of QD equation was developed based on nodal expansion method of nonlinear iteration. Some benchmarks were used to verify the Eddington factor and the numerical method of QD. 4 colorset models with different neutron anisotropy levels were analyzed by pin-by-pin-QD method. Pin-by-pin-QD can reduce keff error by about 600 pcm and agree better with reference results. Additionally, it has better accuracy and similar efficiency as diffusion calculation and is suitable for problems with strong anisotropy. |
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| AbstractList | •A pin-by-pin method of rectangular mesh based on quasi-diffusion theory was developed.•A MOC-based deterministic code ALPHA was developed to generate the Eddington factor.•This pin-by-pin method has similar accuracy as P3 and similar efficiency as diffusion calculation.
With the development of nuclear energy techniques, pin-by-pin calculation using the SP3 method based on pin cell homogenization attracts researchers. This study proposed a pin-by-pin calculation method of rectangular mesh based on quasi-diffusion (QD) theory. The QD equation and boundary condition were derived from a transport equation similar to the P1 equation derivation. The Eddington factor was treated as a few-group homogenized parameter and calculated based on a deterministic code ALPHA. The numerical method of QD equation was developed based on nodal expansion method of nonlinear iteration. Some benchmarks were used to verify the Eddington factor and the numerical method of QD. 4 colorset models with different neutron anisotropy levels were analyzed by pin-by-pin-QD method. Pin-by-pin-QD can reduce keff error by about 600 pcm and agree better with reference results. Additionally, it has better accuracy and similar efficiency as diffusion calculation and is suitable for problems with strong anisotropy. |
| ArticleNumber | 110584 |
| Author | Wang, Yongzhan Zhang, Jinchao Zou, Hang Yan, Jiangtao Zhang, Qian Zhuang, Kun Wang, Yingzhen Wang, Sipeng Deng, Lina |
| Author_xml | – sequence: 1 givenname: Kun surname: Zhuang fullname: Zhuang, Kun email: kzhuang@nuaa.edu.cn organization: Department of Nuclear Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 211106, China – sequence: 2 givenname: Yongzhan surname: Wang fullname: Wang, Yongzhan organization: Department of Nuclear Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 211106, China – sequence: 3 givenname: Jiangtao surname: Yan fullname: Yan, Jiangtao organization: China Nuclear Power Operation Technology Corporation, LTD. Research Institute of Nuclear Power Operation, Wuhan, Hubei 430223, China – sequence: 4 givenname: Hang surname: Zou fullname: Zou, Hang organization: Science and Technology on Parallel and Distribution Processing Laboratory, National University of Defense Technology, Changsha, Hunan 410073, China – sequence: 5 givenname: Lina surname: Deng fullname: Deng, Lina organization: Department of Nuclear Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 211106, China – sequence: 6 givenname: Yingzhen surname: Wang fullname: Wang, Yingzhen organization: Department of Nuclear Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 211106, China – sequence: 7 givenname: Sipeng surname: Wang fullname: Wang, Sipeng organization: Department of Nuclear Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 211106, China – sequence: 8 givenname: Qian surname: Zhang fullname: Zhang, Qian organization: Laboratory for Advanced Nuclear Energy Theory and Applications, Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China – sequence: 9 givenname: Jinchao surname: Zhang fullname: Zhang, Jinchao organization: Fundamental Science on Nuclear Safety and Simulation Technology Laboratory, College of Nuclear Science and Technology, Harbin Engineering University, Harbin, Heilongjiang 150001, China |
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| Keywords | MOC Quasi-diffusion Nodal expansion method Eddington factor Pin-by-pin |
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