Convergence Optimization of 2D MOC/1D S<i><sub>N</sub></i> Method via Generalized Equivalence Theory Based CMFD Acceleration

Kong Boran; Zhu Kaijie; Zhang Han; Hao Chen; Guo Jiong; Li Fu

doi:10.13832/j.jnpe.2023.03.0045

Volume 44 Issue 3

Jun. 2023

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Article Navigation > Nuclear Power Engineering > 2023 > 44(3): 45-53

Kong Boran, Zhu Kaijie, Zhang Han, Hao Chen, Guo Jiong, Li Fu. Convergence Optimization of 2D MOC/1D SN Method via Generalized Equivalence Theory Based CMFD Acceleration[J]. Nuclear Power Engineering, 2023, 44(3): 45-53. doi: 10.13832/j.jnpe.2023.03.0045

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Kong Boran, Zhu Kaijie, Zhang Han, Hao Chen, Guo Jiong, Li Fu. Convergence Optimization of 2D MOC/1D S_N Method via Generalized Equivalence Theory Based CMFD Acceleration[J]. Nuclear Power Engineering, 2023, 44(3): 45-53. doi: 10.13832/j.jnpe.2023.03.0045

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Convergence Optimization of 2D MOC/1D S_N Method via Generalized Equivalence Theory Based CMFD Acceleration

doi: 10.13832/j.jnpe.2023.03.0045

1.
Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing, 100084, China
2.
College of Nuclear Science and Technology, Harbin Engineering University, Harbin, 150001, China

Received Date: 2022-07-13
Rev Recd Date: 2022-09-01
Publish Date: 2023-06-15

Abstract

Abstract

The generalized equivalence theory based CMFD (GET-CMFD) has great convergence behavior and has been successfully applied to the axial NEM based 2D/1D coupling method. However, when applying the high precision S_N as the axial solver, the 2D/1D coupling method faces the convergence problem. To solve this problem, in the case of isotropic transverse leakage and anisotropic transverse leakage, the source of the scalar flux of axial nodal discontinuity factor (NDF) and axial modified diffusion factor (MDF) in the GET-CMFD are optimized. At the same time, the application conditions of the transverse leakage splitting method in 2D/1D coupling method are studied systematically. The results show that by adopting the scalar flux from 2D MOC calculation for the axial NDF axial and MDF in the GET-CMFD equation and adopting the latest updated value of leakage term, 2D/1D coupling method can obtain good convergence. The application condition of the transverse leakage splitting method is that the outgoing angular flux is less than 0, which can guarantee convergence and reduce the precision loss. At the same time, using S_N calculation twice in a 2D/1D iteration can significantly reduce the number of iterations without increasing the computational load. By improving the GET-CMFD equation, the leakage splitting method and the iterative process, the convergence of 2D/1D coupling method can be improved obviously.

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References(15)

References

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