Research on Direct Transport Calculation Method Based on Numerical Nuclear Reactor Physics Code SHARK
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摘要: 为建立基于数字化反应堆技术的新一代反应堆物理计算方法，实现数字化反应堆高保真建模、高分辨率高精度计算，基于数字化反应堆物理计算程序SHARK，开展了一步法输运计算方法研究，建立并比较了二维/一维方法及准三维特征线输运方法；基于空间区域分解及粗网有限差分（CMFD）的大规模并行加速技术，实现了棒状堆芯及板状堆芯的全堆规模一步法输运计算。数值结果与蒙特卡罗程序基准解相比，特征值偏差小于100pcm（1pcm=10–5)，最大棒功率、板功率偏差小于3%，验证了SHARK程序一步法输运计算方法具有良好计算精度，能够适用于棒状、板状堆芯等多应用场景。Abstract: In order to establish the next-generation reactor physics calculation method based on the numerical nuclear reactor technology and realize high-fidelity modeling, high-resolution and high-precision calculation, the research of direct transport method was conducted based on the numerical nuclear reactor physics code SHARK, and 2D/1D and quasi-3D MOC methods were built and compared. Based on the large-scale parallel acceleration technology of domain decomposition and coarse mesh finite difference (CMFD), the whole reactor direct transport calculation was realized for the pin-type and plate-type cores. Compared with Monte-Carlo reference results, eigenvalue differences were less than 100pcm (1pcm=10–5) and maximum pin/plate powers were less than 3%. Numerical results showed the good accuracy of SHARK in the direct transport calculation, and can be apllied in multi-application scenarios of pin-type and plate-type cores.
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Key words:
- Numerical nuclear reactor /
- 2D/1D method /
- Quasi-3D MOC method /
- SHARK
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图 8 宏观BEAVRS基准题径向棒功率偏差
Figure 8. Radial Pin Power Difference for Macro BEAVRS Benchmark
图 10 JRR-3M板状宏观基准题径向组件功率计算结果
Figure 10. Radial Assembly Power Results for Macro JRR-3M Benchmark
图 11 JRR-3M板状宏观基准题轴向积分功率计算结果
Figure 11. Axial Integral Power Results for Macro JRR-3M Benchmark
表 1 C5G7基准题二维/一维方法计算结果
Table 1. Results of C5G7 Benchmark with 2D/1D Method
C5G7二维/一维计算结果 不插棒 半插棒 全插棒 特征值偏差/pcm −45 −45 −59 棒功率偏差/% 最大 #1层 0.867 0.967 0.759 均方根 0.406 0.478 0.327 最大 #2层 1.477 1.228 1.187 均方根 0.396 0.338 0.292 最大 #3层 1.719 1.581 1.696 均方根 0.458 0.475 0.464 计算时间/核时 69 63 63 
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表 2 C5G7基准题准三维特征线方法计算结果
Table 2. Results of C5G7 Benchmark with Quasi-3D MOC Method
C5G7准三维计算结果 不插棒 半插棒 全插棒 特征值偏差/pcm −14 −15 −23 棒功率偏差/% 最大 #1层 1.049 1.192 0.967 均方根 0.295 0.338 0.478 最大 #2层 1.242 1.111 1.228 均方根 0.341 0.327 0.338 最大 #3层 1.348 1.200 1.581 均方根 0.371 0.357 0.475 计算时间/核时 185 186 187
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表 3 KUCA基准题计算结果
Table 3. Calcualtion Results of KUCA Benchmark
KUCA准三维计算结果 全提棒 全插棒 特征值偏差/pcm −81 −19 燃料注量率偏差/% 快群 0.09 −0.50 热群 0.24 −0.15 反射层注量率偏差/% 快群 0.55 0.13 热群 0.01 0.06 控制棒/气隙注量率偏差/% 快群 −0.33 −0.05 热群 −0.63 0.30
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表 4 宏观BEAVRS基准题计算结果
Table 4. Calcualtion Results of Macro BEAVRS Benchmark
宏观BEAVRS计算结果 二维/一维
方法准三维特征
线方法特征值偏差/pcm 9 13 径向棒功率偏差/% 最大 2.9 3.2 均方根 0.5 0.4 径向组件功率偏差/% 最大 1.2 1.1 均方根 0.4 0.3
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表 5 JRR-3M板状宏观基准题计算结果
Table 5. Calcualtion Results of Macro JRR-3M Benchmark
计算结果 算例 AAO AAI RMC程序特征值（参考解） 0.88223 1.08964 SHARK程序特征值 0.88121 1.08890 特征值计算偏差/pcm −102 −74 三维平板
裂变率偏差/%最大 1.68 2.10 均方根 0.35 0.30
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