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引用次数: 0
摘要
本研究针对逐针核心多组 SP 求解器 CTRP-Clouds 的开发和验证,该求解器在统一公式中采用了 NEM(节点扩展法)和三种简化 NEM 方法,可同时求解耦合 0 和耦合 2 SP 方程。在这项工作中,使用这种统一公式的求解器不仅包括原始 NEM 及其简化方法,还包括用于综合评估的 EFEN(指数函数展开节点法)和 FDM(有限差分法)。此外,还使用 CMFD(粗网格有限差分)方法加速了求解器,并使用 OpenMP 进行了并行化。针对二维 KAIST 基准问题和考虑三维扩展的修正问题,研究了不同求解方法的计算效率。结果表明,在每个引脚单元采用 1x1 网格的情况下,采用平面泄漏近似的简化 NEM 在所有情况下的引脚功率差异均方根有效值(RMS)小于 1.2 %,计算时间比原始 NEM 减少了 20 %。特别是,平面漏电 NEM 的计算时间与 EFEN 相当,而引脚精度更高。此外,在计算时间相当的情况下,采用二阶通量扩展的简化 NEM 与 FDM 相比,精度大幅提高。
A simplified SP3 NEM solver within a unified formulation for pin-by-pin core multi-group calculations
This study addresses the development and verification of a pin-by-pin core multigroup SP solver CTRP-Clouds that employs NEM (Nodal Expansion Method) and three simplified NEM methods within a unified formulation for simultaneously solving the coupling 0 and 2 SP equations. In this work, the solver using this unified formulation does not only include the original NEM and its simplifications but also the EFEN (Exponential Function Expansion Nodal) method and FDM (Finite Difference Method) for the comprehensive evaluation. Also, the solver was accelerated using CMFD (Coarse Mesh Finite Difference) method and parallelized using OpenMP. The computational efficiency of different solution methods was investigated for the 2D KAIST benchmark problems and their modified one for considering 3D extension. The results showed the simplified NEM with flat leakage approximation gives acceptable accuracies of less than 1.2 % in RMS of pin-power discrepancies of all the cases with 1x1 mesh per pin-cell, with a reduction of 20 % computing time compared to the original NEM. Particularly, the calculation time of flat leakage NEM is comparable to EFEN while the pin-wise accuracy is better. Besides, the simplified NEM with 2-order flux expansion gives substantially improved accuracy in comparison with FDM within comparable computing time.
期刊介绍:
Nuclear Engineering and Technology (NET), an international journal of the Korean Nuclear Society (KNS), publishes peer-reviewed papers on original research, ideas and developments in all areas of the field of nuclear science and technology. NET bimonthly publishes original articles, reviews, and technical notes. The journal is listed in the Science Citation Index Expanded (SCIE) of Thomson Reuters.
NET covers all fields for peaceful utilization of nuclear energy and radiation as follows:
1) Reactor Physics
2) Thermal Hydraulics
3) Nuclear Safety
4) Nuclear I&C
5) Nuclear Physics, Fusion, and Laser Technology
6) Nuclear Fuel Cycle and Radioactive Waste Management
7) Nuclear Fuel and Reactor Materials
8) Radiation Application
9) Radiation Protection
10) Nuclear Structural Analysis and Plant Management & Maintenance
11) Nuclear Policy, Economics, and Human Resource Development