Abstract Multi-group heterogeneous reaction rates calculated by the subgroup method in resonance calculations are not reproduced, when subgroup-collapsed one-group homogeneous calculations are conducted for the same problem, giving rise to a multi-group equivalence effect. In this paper, a new non-iterative equivalence method introducing partial current discontinuity factors (PCDFs) is proposed to resolve this effect and employed into the Bamboo-Lattice code. Its validity was tested and verified through several fixed-source as well as eigenvalue problems for both single pin-cell and assembly geometries. The numerical results show that preservation of scalar flux, partial currents, neutron leakage and reaction rates is guaranteed by implementing this new method. Moreover, the computational time comparison for different equivalence methods shows that the newly proposed non-iterative equivalence method promises a significantly less computational cost compared to the traditional iterative super-homogenization (SPH) method in treating multi-group equivalence effect.

中文翻译：

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基于广义等价理论的子群方法中的多群等价

摘要 共振计算中子群法计算的多群非均相反应速率没有重现，当对同一问题进行子群塌陷的一组均相计算时，会产生多群等价效应。在本文中，提出了一种引入部分电流不连续因子 (PCDF) 的新的非迭代等效方法来解决这种影响，并将其应用到 Bamboo-Lattice 代码中。它的有效性通过几个固定源以及单个引脚单元和组件几何结构的特征值问题得到了测试和验证。数值结果表明，通过实施这种新方法，可以保证标量通量、部分电流、中子泄漏和反应速率的保持。而且，