Optimal Batch Size Growth for Wielandt Method and Superhistory Method

Pan, Qingquan; Zhang, Tengfei; Liu, Xiaojing; Cai, Yun; Wang, Lianjie; Wang, Kan

doi:10.1080/00295639.2021.1968223

Cited by 8 publications

(1 citation statement)

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“…Besides, some methods need a vast footprint, and some are only suited for nuclear systems with regular shapes, which eliminates the MC method's advantage in free 3D modeling. The second kind is independent of space meshing, including the Wielandt's method (Yamamoto and Miyoshi, 2004;Brown, 2007;She et al, 2015;Pan et al, 2022c), the superhistory method (Brissenden and Garlick, 1986;She et al, 2015;Mickus and Dufek, 2018;Pan et al, 2022c), the neutron population growth method (Mickus and Dufek, 2018;Pan et al, 2022a), and the source extrapolation method (Pan et al, 2022b). Wielandt's method is based on the shifted inverse power method (Bronson et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Convergence characteristics and acceleration of the transient fixed source equation solved by Monte Carlo method

Guo

Wang

2023

Front. Energy Res.

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The safety analysis of nuclear systems such as nuclear reactors requires transient calculation. The Monte Carlo (MC) method has grown rapidly in recent years because of its high-fidelity modelling and simulation capability. The predictor-corrector quasi-static (PCQS) MC method has been investigated for kinetic calculation. However, the approach to shorten the computational time required to solve the transient fixed source equation (TFSE) is still under development. The convergence characteristic of the neutron source iteration algorithm of the PCQS MC method is analyzed in this study with a simplified model. It is found that the convergence rate of the iteration algorithm is governed by the effective spectral radius (ESR). The lower the ESR is, the faster the convergence is. In order to reduce the ESR, the asymptotic superhistory method (ASM) is developed for the PCQS MC method in the RMC code. The performance of ASM is evaluated by the C5G7-TD benchmark. Results show that the reduction in the number of inactive cycles is more than 85%, and over 15% of computational time including active cycles is saved. It is demonstrated how ASM speeds up the iterations using the Wasserstein distance measure.

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