基于自动重要抽样方法的减方差技巧体系构建与验证

Construction and Verification of Variance Reduction Technique System Based on Automatic Importance Sampling

  • 摘要: 屏蔽计算问题根据求解目标不同一般可分为源-探测器问题、区域问题和全局问题。MCShield研究团队针对3类问题中存在的深穿透问题提出了相应的减方差技巧,本文以此为基础构建了基于自动重要抽样(AIS)方法的减方差技巧体系,并开展了验证工作。针对源-探测器问题,采用NUREG/CR-6115 PWR压力容器计算基准题对小探测器自动重要抽样(SDAIS)方法进行验证。结果表明,SDAIS方法的计算效率约为AIS方法的7倍。此外还提出并验证了基于AIS伴随蒙特卡罗的耦合减方差(AIS-CADIS)方法,将AIS方法引入到蒙特卡罗伴随计算中,取得了良好的效果。针对全局问题,提出网格化-AIS方法并使用简化反应堆屏蔽计算算例进行验证,结果表明,网格化-AIS方法的计算效率是AIS方法的12倍左右,是直接蒙特卡罗方法的290倍左右。

     

    Abstract: According to different objectives, shielding calculation problems can be divided into regional problem, source-detector problem, and global problem. To solve the deep penetration problem of the three kinds of problems, the MCShield research team systematically proposed a series of variance reduction methods. According to these works, this article constructed a variance reduction technique system based on the automatic importance sampling (AIS) method, and conducted some verification work. For the source-detector problem, the NUREG/CR-6115 PWR pressure vessel calculation benchmark was used to verify the small detector automatic importance sampling (SDAIS) method. The result shows that the SDAIS method is more efficient than the AIS method for the source-detector problem. In addition, an AIS-based Monte Carlo coupled variance reduction (AIS-CADIS) method was also proposed which introduces the AIS method into Monte Carlo adjoint calculations and was verified against benchmark problems. For global problems, the grid-based AIS method was proposed and verified using a simplified reactor shielding calculation problem. The results show that compared with the AIS method and analog Monte Carlo methods, the grid-based AIS method can improve calculation efficiency.

     

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