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research-article

The Differences Between The Two forms of Semi-Analytical Nodal Methods on Solving SP3 Equation

[+] Author and Article Information
Pan Qingquan

Tsinghua University, Room 901, Department of Engineering Physics, Tsinghua University, Beijing, China
291618467@qq.com

Lu Haoliang

China Nuclear Power Tech Research Institute, Technology Building, Futian District, Shenzhen, Guangdong Province, China
luhaol@cgnpc.com.cn

Li Dongsheng

China Nuclear Power Tech Research Institute, Technology Building, Futian District, Shenzhen, Guangdong Province, China
lidongsheng@cgnpc.com.cn

Wang Kan

Tsinghua University, Department of Engineering Physics, Tsinghua University, Beijing, China
wangkan@mail.tsinghua.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4038653 History: Received August 18, 2017; Revised October 11, 2017

Abstract

Solving the SP3 equation is the key point of the development in the advanced reactor calculation method and has been widely concerned. The semi-analytical nodal method (SANM) based on transverse-integrated diffusion equation has the advantages of high accuracy and convenience for multi-group calculation. Due to its advantages, the method is expected to be used in solving the SP3 equation. However, the traditional SANM is not rigorous since the expansion process does not take the special modality of SP3 equation and its analytical solution into consideration. There are two modalities of SP3 equation, so there are two traditional SANM forms on solving the SP3 equation, and the differences between the two forms will be very important in farther research on the SANM. 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 on solving the SP3 equation is found. According to the results, and in view of the special modality of the SP3 equation, points on a more rigorous SANM for solving SP3 equation are discussed.

Copyright (c) 2017 by ASME
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