Solving the SP3 equation is the key technology of the Next Generation Reactor Physics Calculation, and has been widely concerned. The semi-analytical nodal method (SANM) based on transverse-integrated neutron diffusion equation has the advantages of high accuracy and convenience for multi-group calculation. The 0th-order flux and the 2nd-order flux being Expanded with the existing 4th-order SANM polynomials and being solved respectively, the 4th-order algebraic accuracy flux distribution is also obtained, however, this solving process is not the semi-analytical nodal method since the polynomial expansion process does not take the special modality of SP3 equation and it’s analytical solution into consideration. There are two modality SP3 equation, so there are two SANM expansion forms. A code is developed to solve the SP3 equation under the two different forms. After the calculation of the same benchmark, the difference between the two forms of SP3 equation is found. According to the results, and in view of the special modality of the SP3 equation, advices for a strict semi-analytical method for solving SP3 equation are discussed.
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2017 25th International Conference on Nuclear Engineering
July 2–6, 2017
Shanghai, China
Conference Sponsors:
- Nuclear Engineering Division
ISBN:
978-0-7918-5781-6
PROCEEDINGS PAPER
Study on Semi-Analytical Nodal Method for Solving SP3 Equation
Pan Qingquan,
Pan Qingquan
Tsinghua University, Beijing, China
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Lu Haoliang,
Lu Haoliang
China Nuclear Power Tech Research Institute, Shenzhen, China
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Li Dongsheng,
Li Dongsheng
China General Nuclear Power Corporation, Shenzhen, China
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Wang Kan
Wang Kan
Tsinghua University, Beijing, China
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Pan Qingquan
Tsinghua University, Beijing, China
Lu Haoliang
China Nuclear Power Tech Research Institute, Shenzhen, China
Li Dongsheng
China General Nuclear Power Corporation, Shenzhen, China
Wang Kan
Tsinghua University, Beijing, China
Paper No:
ICONE25-67597, V003T02A061; 7 pages
Published Online:
October 17, 2017
Citation
Qingquan, P, Haoliang, L, Dongsheng, L, & Kan, W. "Study on Semi-Analytical Nodal Method for Solving SP3 Equation." Proceedings of the 2017 25th International Conference on Nuclear Engineering. Volume 3: Nuclear Fuel and Material, Reactor Physics and Transport Theory; Innovative Nuclear Power Plant Design and New Technology Application. Shanghai, China. July 2–6, 2017. V003T02A061. ASME. https://doi.org/10.1115/ICONE25-67597
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