Implementation and Optimization of Function Expansion Tallies Based on Track Length Estimation Method in RMC

An Nan; Wang Wu; Wang Kan

doi:10.13832/j.jnpe.2024.05.0078

Volume 45 Issue 5

Oct. 2024

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An Nan, Wang Wu, Wang Kan. Implementation and Optimization of Function Expansion Tallies Based on Track Length Estimation Method in RMC[J]. Nuclear Power Engineering, 2024, 45(5): 78-84. doi: 10.13832/j.jnpe.2024.05.0078

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An Nan, Wang Wu, Wang Kan. Implementation and Optimization of Function Expansion Tallies Based on Track Length Estimation Method in RMC[J]. Nuclear Power Engineering, 2024, 45(5): 78-84. doi: 10.13832/j.jnpe.2024.05.0078

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Implementation and Optimization of Function Expansion Tallies Based on Track Length Estimation Method in RMC

doi: 10.13832/j.jnpe.2024.05.0078

Department of Engineering Physics, Tsinghua University, Beijing, 100084, China

Received Date: 2023-10-15
Rev Recd Date: 2023-11-29
Publish Date: 2024-10-14

Abstract

Abstract

Traditional Monte Carlo simulations usually use bin-counting to statistically analyze relevant parameters. Rough bin division is difficult to accurately describe the distribution of some parameters in the whole space, while detailed bin division requires a large number of samples to meet the required statistical accuracy, which will take a lot of time. The functional expansion tallies method (FET method) can obtain the continuous distribution of parameters in the solution space, and can solve the problem that computational efficiency and accuracy cannot be achieved at the same time. The FET method based on track-length estimation is innovatively implemented in Monte Carlo Code (RMC). In addition, the Legendre polynomials and Zernike polynomials are combined to calculate the continuous distribution of the parameters in the three-dimensional assembly space. At the same time, the simulation time of FET method and meshtally method are compared. The results show that the calculation results of FET method are in good agreement with the meshtally method, and the simulation time of FET method is reduced while the simulation memory is greatly reduced. Therefore, the functional expansion tallies method developed in this study can be used in Monte Carlo code.
- RMC,
- Functional expansion tallies (FET method),
- Track-length estimation,
- Three-dimensional assembly space

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References(12)

References

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