Nuclear Engineering and Technology

  • 제55권1호
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  • Pages.310-323
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  • 2023
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  • 1738-5733(pISSN)
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  • 2234-358X(eISSN)
한국원자력학회 (Korean Nuclear Society)
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A modified JFNK with line search method for solving k-eigenvalue neutronics problems with thermal-hydraulics feedback

  • Lixun Liu (Institute of Nuclear and New Energy Technology (INET), Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University) ;
  • Han Zhang (Institute of Nuclear and New Energy Technology (INET), Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University) ;
  • Yingjie Wu (Institute of Nuclear and New Energy Technology (INET), Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University) ;
  • Baokun Liu (Institute of Nuclear and New Energy Technology (INET), Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University) ;
  • Jiong Guo (Institute of Nuclear and New Energy Technology (INET), Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University) ;
  • Fu Li (Institute of Nuclear and New Energy Technology (INET), Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University)
  • 투고 : 2022.03.20
  • 심사 : 2022.09.08
  • 발행 : 2023.01.25
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초록

The k-eigenvalue neutronics/thermal-hydraulics coupling calculation is a key issue for reactor design and analysis. Jacobian-free Newton-Krylov (JFNK) method, featured with super-linear convergence rate and high efficiency, has been attracting more and more attention to solve the multi-physics coupling problem. However, it may converge to the high-order eigenmode because of the multiple solutions nature of the k-eigenvalue form of multi-physics coupling issue. Based on our previous work, a modified JFNK with a line search method is proposed in this work, which can find the fundamental eigenmode together with thermal-hydraulics feedback in a wide range of initial values. In detail, the existing modified JFNK method is combined with the line search strategy, so that the intermediate iterative solution can avoid a sudden divergence and be adjusted into a convergence basin smoothly. Two simplified 2-D homogeneous reactor models, a PWR model, and an HTR model, are utilized to evaluate the performance of the newly proposed JFNK method. The results show that the performance of this proposed JFNK is more robust than the existing JFNK-based methods.

키워드

과제정보

This study is supported by Beijing Natural Science Foundation 1212012, Chinese National Natural Science Foundation Project 11505102 and 11375099, Chinese National ST Major Project 2018ZX06 902013, and IAEA CRP I31020.

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