ARES屏蔽程序二维输运模块开发与初步验证

Development and Preliminary Verification of 2-D Transport Module of Radiation Shielding Code ARES

  • 摘要: 基于一阶稳态中子输运方程理论模型,采用离散纵标方法对方向变量进行离散,得到一组差分方程组,应用源迭代法对差分方程组进行求解。基于上述理论,开发了ARES屏蔽程序二维输运模块。程序实现了中子输运过程keff和固定源问题的计算,并考虑到各向异性散射问题。本文简要介绍了ARES屏蔽程序二维输运模块的理论模型,并对一系列基准题结果进行了校验计算。在二维沸水堆栅元问题中,ARES屏蔽程序二维输运模块的keff计算结果与基准结果最大相对误差为0.09%,通量密度最大相对误差为0.60%。针对各向同性和各向异性散射源问题,ARES屏蔽程序二维输运模块与DORT程序计算结果进行对比,整体符合很好。初步验证了ARES屏蔽程序二维输运模块的正确性,且计算精度较高。

     

    Abstract: The 2-D transport module of radiation shielding code ARES is two-dimensional neutron and radiation shielding code. The theory model was based on the first-order steady state neutron transport equation, adopting the discrete ordinates method to disperse direction variables. Then a set of differential equations can be obtained and solved with the source iteration method. The 2-D transport module of ARES was capable of calculating keff and fixed source problem with isotropic or anisotropic scattering in x-y geometry. The theoretical model was briefly introduced and series of benchmark problems were verified in this paper. Compared with the results given by the benchmark, the maximum relative deviation of keff is 0.09% and the average relative deviation of flux density is about 0.60% in the BWR cells benchmark problem. As for the fixed source problem with isotropic and anisotropic scattering, the results of the 2-D transport module of ARES conform with DORT very well. These numerical results of benchmark problems preliminarily demonstrate that the development process of the 2-D transport module of ARES is right and it is able to provide high precision result.

     

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