Development and Verification of Resonance Elastic Scattering Kernel Data Processing Module in Nuclear Data Processing Code NECP-Atlas
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摘要: 在多群截面和散射矩阵产生中考虑了靶核热运动以及共振弹性散射。首先,采用了任意勒让德阶数的各向异性共振弹性散射核公式,以计算准确的多普勒展宽能量转移核。使用了半解析积分方法来进行共振弹性散射核的计算。结合共振弹性散射核计算,提出了一种线性化方法来产生共振弹性散射核插值表。利用该插值表可精确插值共振弹性散射核以减少计算成本。其次,基于共振弹性散射核开发了慢化方程求解器从而代替传统的渐进散射核。该求解器可以正确地考虑中子上散射效应对于中子能谱的影响。在多群截面归并时使用更加精确的中子能谱,以此可以得到更加精确的多群截面。上述所有方法都已集成至核数据处理程序NECP-Atlas。数值结果表明,所提出的方法可以为下游计算提供准确的多群截面;相比于传统方法所产生的多群截面及散射矩阵,当上散射效应被考虑时,使用确定论程序所计算的燃料温度系数以及特征值有较大的变化。
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关键词:
- 共振弹性散射核 /
- 核数据处理 /
- 多普勒燃料温度系数 /
- NECP-Atlas
Abstract: The thermal motion of target nuclei and the resonance elastic scattering have been considered in the generation of multi-group cross sections and scattering matrices. Firstly, the resonance elastic scattering kernel(RESK) formulations for anisotropic scattering up to any Legendre order has been adopted to calculate the exact Doppler broadened energy transfer kernels. A semi-analytical integration method is applied to perform the RESK calculations. Combining with the RESK calculation, a linearization algorithm is proposed to generate the RESK interpolation tables. The RESK data can be interpolated precisely based on the RESK interpolation tables to reduce the calculation burden. Secondly, a neutron slowing-down equation solver is developed based on the RESK instead of the conventional asymptotic scattering kernel. The effect of neutron up-scattering on the neutron energy spectrum can be exactly taken into account by the solver. More precise multi-group cross sections are obtained when more precise energy spectrum are adopted in the group collapsing procedures. All the methods mentioned above have been implemented into the nuclear data processing code called NECP-Atlas. Numerical results show that the proposed methods are capable of producing accurate multi-group cross sections for downstream calculation; Comparedwith the multi-group cross sections and scattering matrices generated by the conventional methods, the fuel Doppler coefficients and eigenvalues calculated by the deterministic codes change greatly when the up-scattering effect is considered. -
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