Implementation and Analysis of Thermal Hydraulics Feedback in High-Fidelity Neutron Transport Program HNET

Yanling Zhu, Chen Hao, Peijun Li, Xiaoyu Zhou
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Abstract

With the growing requirement of predicting reactor behavior in high-fidelity detail at practical conditions, it is urgent to accomplish thermal hydraulics (T-H) feedback in the high-fidelity neutron transport program HNET. For better convergence behaviors than Picard iteration, the Matrix Free Newton/Krylov (MFNK) method was employed to resolve neutronics and thermal-hydraulics coupling system. MFNK treats each subsystem as a black box within the Newton method framework, so it can facilitate the coupling procedure without surrendering efficiency or robustness. For the T-H feedback effects, a simplified internal thermal hydraulics model was adopted to provide T-H conditions for neutronics. The convergence behaviors of MFNK and Picard iteration were assessed through simple typical cases. Finally, the effectiveness of the coupling system was verified by the VERA problem #6. Numerical results demonstrate the efficiency and stability of MFNK compared with Picard iteration. Moreover, it turns out that the coupling system has a good performance in realistic cases.
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热工液压反馈在高保真中子输运程序HNET中的实现与分析
随着人们对实际条件下高保真详细预测反应堆行为的要求越来越高,在高保真中子输运程序HNET中实现热工反馈成为迫切需要。为了获得比皮卡德迭代更好的收敛性能,采用无矩阵牛顿/克雷洛夫(MFNK)方法求解了热工-热工耦合系统。MFNK将每个子系统视为牛顿方法框架中的一个黑盒,因此它可以在不牺牲效率或鲁棒性的情况下简化耦合过程。对于T-H反馈效应,采用简化的内部热工模型提供了中子的T-H条件。通过简单的典型案例对MFNK和Picard迭代的收敛性进行了评价。最后,通过VERA问题#6验证了耦合系统的有效性。数值结果表明,与Picard迭代相比,MFNK算法具有较高的效率和稳定性。实际应用表明,该耦合系统具有良好的性能。
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