一种栅元等效均匀化计算的改进方法及其验证

Improved Method and Its Verification for Cell-Wise Homogenization Calculation

  • 摘要: 传统的栅元等效均匀化计算方法一般采用体积-通量权重法,保证了在反射边界条件下各群通量和反应率的守恒,但该方法在边界入射流较强时有一定误差。本文提出了一种改进的等效均匀化方法,该方法以栅元边界入射流与出射流之间的响应等效作为理论基础,认为不需要保证等效前后的平均通量守恒,而应保证入射流与出射流以及各群反应率之间的响应关系守恒。和原有均匀化方法相比,改进方法几乎不增加任何计算量。对带反射层的平板问题及C5G7MOX基准例题分别进行测试计算,结果表明,改进的栅元等效均匀化方法对特征值和棒功率分布的计算精度有明显的改善作用。

     

    Abstract: The conventional cell-wise homogenization calculation method is flux volume weighting method which maintains the flux and reaction rates conservation of each group under the reflective boundary conditions. But there is a certain error for the results when incident flow is considerable. An improved method for the homogenization calculation based on the response of incident flow and exit flow instead of the conservation of mean flux was proposed in this paper. Almost little calculation amount was added in the new method. The verification on a slab problem with reflector and the C5G7MOX benchmark problem indicates that the new method can improve the accuracy of the calculation for the eigenvalue and pin power distribution.

     

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