用于求解细网SP3中子输运方程的两节块方法的精度与效率分析
Analysis of Accuracy and Efficiency of Two Node Method for Solving Fine Mesh SP3 Neutron Transport Equations
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摘要: 采用两节块方法求解细网3阶简化球谐函数(SP3)中子输运方程,该方法只对零阶角通量密度的拉普拉斯算子进行节块法处理,对应的零阶通量密度采用2阶展开,横向泄漏采用零阶近似;以此方法开发了适用于细网全堆输运计算的CORCA-PIN程序,该程序同时集成了细网有限差分方法。验证算例采用KAIST 3A基准问题及扩展三维问题。数值结果表明,采用栅元1×1划分的两节块法具有可接受的计算精度,而计算时间只有相同精度的细网有限差分方法的11%。因此,本文提出的两节块方法适用于细网SP3中子输运方程计算。
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关键词:
- 3阶简化球谐函数(SP3) /
- 细网 /
- 两节块
Abstract: A two node method is developed to solve the fine mesh SP3 equations. The Laplace operator on the 0th moment flux is treated by nodal method. The transverse integrated 0th moment flux is expanded to a second order polynomial, and the transverse leakage term is approximated with flat distribution. A prototype code named CORCA-PIN is developed for the fine mesh whole core transport calculation. And fine mesh finite difference method is implemented in CORCA-PIN. KAIST 3A benchmark problem and extended 3D problem are tested. Numerical results show that an acceptable accuracy is achieved using the two node method with 1by1 mesh per cell. Meanwhile, the time is 12% of the fine mesh finite difference method with comparable accuracy. The two node method proposed in this paper is suitable as the solver of fine mesh SP3 neutron transport equations.-
Key words:
- SP3 /
- Fine mesh /
- Two node method
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