ABSTRACT An efficient numerical scheme for time-dependent MOC calculations is proposed. In the present scheme, one of the most successful factorization method, the multigrid amplitude function (MAF) method, is employed to achieve faster computation with the minimum degradation for the temporal integration of the scalar flux. In addition, the MAF method is re-derived based on the linear source approximation, which is not applied for time-dependent MOC calculations in the past studies as far as the authors’ knowledge, to reduce the spatial discretization error with the coarser flux region separation. The accuracy and computational time of the present scheme are evaluated through the calculation of the TWIGL and the C5G7-TD 2D benchmark problems. The present calculation results show that the present scheme is 6.2 times faster than the conventional method while achieving the same accuracy in the C5G7-TD benchmark problem.

中文翻译：

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基于线性源近似的多网格幅值函数法在瞬态MOC中的应用

摘要 提出了一种用于时间相关 MOC 计算的有效数值方案。在本方案中，最成功的分解方法之一，多重网格幅度函数（MAF）方法，用于实现更快的计算，同时对标量通量的时间积分的退化最小。此外，MAF 方法是基于线性源近似重新推导的，就作者所知，该方法在过去的研究中不应用于瞬态 MOC 计算，以减少较粗的通量区域的空间离散化误差分离。本方案的精度和计算时间是通过计算 TWIGL 和 C5G7-TD 2D 基准问题来评估的。目前的计算结果表明，本方案为6。