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Convergence characteristics and Wielandt acceleration of the time source method for Monte Carlo alpha eigenvalue calculations
Annals of Nuclear Energy ( IF 1.9 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.anucene.2020.107627
Toshihiro Yamamoto , Hiroki Sakamoto

Abstract This paper discusses the source convergence of Monte Carlo calculations for α-eigenvalues. Compared with the conventional “k–α method”, the “time-source method” has a strong neutronic coupling even in a system where the fission sources are loosely coupled. The dominance ratio of the time source is smaller than that of the k–α method. The time-source method has a drawback in that it requires a much longer computation time. Furthermore, the time-source method cannot be applied to critical or supercritical systems owing to the long fission chain. A new technique is developed to overcome these drawbacks by introducing the Wielandt method for increasing the dominance ratio. This technique, which uses the Wielandt method in an opposite manner, reduces the computation time and expands the availability in a supercritical system. Because the source convergence of the time-source method is inherently stable, the new method causes a limited adverse effect on the source convergence.

中文翻译:

蒙特卡罗阿尔法特征值计算的时间源法收敛特性和维兰特加速度

摘要 本文讨论了α-特征值的蒙特卡罗计算的源收敛。与传统的“k-α法”相比,“时源法”即使在裂变源松散耦合的系统中也具有很强的中子耦合。时间源的优势比小于 k-α 方法。时间源方法有一个缺点,它需要更长的计算时间。此外,由于裂变链较长,时间源方法不能应用于临界或超临界系统。通过引入 Wielandt 方法来增加优势比,开发了一种新技术来克服这些缺点。这种技术以相反的方式使用维兰特方法,减少了计算时间并扩展了超临界系统的可用性。
更新日期:2020-10-01
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