Abstract Accurate and fast-running reduced order neutronics models are expected in many challenging applications such as multi-physics coupling analysis and data assimilations of reactors. The emphasis of the present study is to investigate an appropriate order reduction method for treating the movement of control rods. The empirical interpolation method is adopted to perform an affine decomposition to the spatial distribution of the cross sections with respect to the positions of control rods. The method can well recover the abrupt change of the cross sections near the end of control rods. With incorporation of the decomposed components, accurate and very efficient reduced order models can be constructed for the neutron diffusion problem with one-step or two-step movements of control rods.

中文翻译：

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用控制棒运动快速求解中子扩散问题

摘要 在许多具有挑战性的应用中，例如反应堆的多物理场耦合分析和数据同化，都需要准确且快速运行的降阶中子学模型。本研究的重点是研究一种适当的降阶方法来处理控制棒的运动。采用经验插值法对截面相对于控制棒位置的空间分布进行仿射分解。该方法可以很好地恢复控制棒端部附近截面的突变。通过结合分解的组件，可以为控制棒的一步或两步运动的中子扩散问题构建准确且非常有效的降阶模型。