Abstract We use a novel nonintrusive adaptive Reduced Order Modeling method to build a reduced model for a molten salt reactor system. Our approach is based on Proper Orthogonal Decomposition combined with locally adaptive sparse grids. Our reduced model captures the effect of 27 model parameters on k eff of the system and the spatial distribution of the neutron flux and salt temperature. The reduced model was tested on 1000 random points. The maximum error in multiplication factor was found to be less than 50 pcm and the maximum L 2 error in the flux and temperature were less than 1%. Using 472 snapshots, the reduced model was able to simulate any point within the defined range faster than the high-fidelity model by a factor of 5 × 10 6 . We then employ the reduced model for uncertainty and sensitivity analysis of the selected parameters on k eff and the maximum temperature of the system.

中文翻译：

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一种熔盐反应堆系统的非侵入式自适应降阶建模方法

摘要 我们使用一种新颖的非侵入式自适应降阶建模方法来构建熔盐反应堆系统的简化模型。我们的方法基于适当的正交分解与局部自适应稀疏网格相结合。我们的简化模型捕获了 27 个模型参数对系统 k eff 以及中子通量和盐温的空间分布的影响。简化模型在 1000 个随机点上进行了测试。发现倍增因子的最大误差小于50 pcm，通量和温度的最大L 2 误差小于1%。使用 472 个快照，简化模型能够比高保真模型快 5 × 10 6 倍地模拟定义范围内的任何点。