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共振弹性散射核计算模块HNScatXS的开发和验证

The Development and Validation of the Resonance Elastic Scattering Kernel Calculation Module HNScatXS

  • 摘要: 多群截面和散射矩阵是确定论反应堆物理计算和反应堆设计的基础数据,在制作群常数时,国内外很多程序在超热能区散射中采用的是渐进模型。渐进模型近似认为靶核是静止的,且出射能量区间是均匀分布的,但该模型可能会导致无限介质增殖因子超过400 pcm的偏差。为了提高共振能区散射效应的处理精度,在先进核截面处理程序AXSP中开发了共振弹性散射核计算模块HNScatXS。首先,通过任意勒让德阶数下各向异性共振弹性散射核公式计算得到精确的多普勒展宽下的转移核,并比较不同核素、不同温度和不同能量下的共振弹性散射核,验证计算方法的正确性。然后,提出对WIMS-D格式的IAEA69群数据库进行更新的比例因子方法,利用多个基准题进行验证。数值结果表明:HNScatXS模块可以正确处理中子散射效应对能谱的影响,所提出的比例因子方法只需要较少改动就可以实现散射核的精确计算;当考虑上散射效应时,使用精确散射核计算的燃料温度系数以及特征值有较大变化。

     

    Abstract: The multigroup cross sections and scattering matrices are fundamental data for deterministic reactor physics calculation and reactor design. In the generation of group constants, many domestic and international codes adopt the asymptotic model for scattering in the epithermal energy region, which approximates the target nucleus as stationary and assumes a uniform distribution of the outgoing energy. However, this asymptotic scattering model may lead to discrepancies in the infinite medium multiplication factor exceeding 400 pcm. To improve the accuracy of scattering treatment in the resonance energy region, a resonance elastic scattering kernel calculation module, HNScatXS, has been developed in the advanced cross-section processing code AXSP. Firstly, the Doppler-broadened transfer kernels are accurately calculated using the anisotropic resonance elastic scattering kernel formula for arbitrary Legendre orders. The correctness of the method is verified by comparing the scattering kernels of different nuclides, temperatures, and incident energies. Subsequently, a scaling factor method is proposed for updating the IAEA69-group library in WIMS-D format, and it is validated using several benchmark problems. Numerical results show that the HNScatXS module can accurately account for the effects of neutron scattering on the energy spectrum. The proposed scaling factor method enables precise scattering kernel calculations with minimal modifications. When up-scattering effects are considered, noticeable changes are observed in both the fuel temperature coefficient and the eigenvalue when using accurate scattering kernels.

     

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