Numerical study of scattering legendre moments and effect of anisotropic scattering on <italic style="font-style: italic">S</italic><sub>N</sub> shielding calculation

Cong Liu; Xiao-Li Hu; Bin Zhang; You Gong; Liang Zhang; Yi-Xue Chen

doi:10.1007/s41365-019-0695-y

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Numerical study of scattering legendre moments and effect of anisotropic scattering on S_N shielding calculation

NUCLEAR ENERGY SCIENCE AND ENGINEERING | Updated：2021-02-01

- Numerical study of scattering legendre moments and effect of anisotropic scattering on S_N shielding calculation
- Nuclear Science and Techniques Vol. 30, Issue 11, Article number: 161(2019)
- Affiliations：
  
  a.School of Nuclear Science and Engineering, North China Electric Power University, Beijing 102206, China;
  b.China Nuclear Power Engineering Co. Ltd., Beijing 100840, China;
  c.China Institute of Atomic Energy, Beijing 102413, China
- Author bio：
  
  Corresponding author, zhangbin@ncepu.edu.cn
- Funds：
- DOI：10.1007/s41365-019-0695-y
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Cong Liu, Xiao-Li Hu, Bin Zhang, et al. Numerical study of scattering legendre moments and effect of anisotropic scattering on S_N shielding calculation. [J]. Nuclear Science and Techniques 30(11):161(2019)
DOI：

Cong Liu, Xiao-Li Hu, Bin Zhang, et al. Numerical study of scattering legendre moments and effect of anisotropic scattering on S_N shielding calculation. [J]. Nuclear Science and Techniques 30(11):161(2019) DOI： 10.1007/s41365-019-0695-y.

摘要

Abstract

In neutron and photon transport problems, anisotropic scattering is of great importance for the particle flux, especially when the angular flux has a strong forward peak in shielding analyses. The conventional Legendre expansion is widely-used in discrete ordinates transport codes because of algebraic simplifications with spherical harmonics for the scattering source. However, negative cross-sections caused by the finitely truncated expansion may give rise to a negative source and flux. A simple method is adopted, based on integrating functions of scattering moments, to evaluate anisotropy and convergence of expanded functions. A series of problems were designed with angular fluxes of different anisotropy, and numerical simulations were performed using the ARES transport code to study different treatments and algorithms for scattering. Results show that the diagonal transport approximation is more stable, and obtains a similar accuracy with the extended approximation. A conservative fix-up for the negative source could ensure particle balance and improve computational accuracy significantly for photon transport. The effect of anisotropic scattering is problem-dependent, and no distinct differences among various methods are observed for volume source problems with a continuous energy source. For beam source problems, flux results are sensitive to negative scattering functions, and strictly non-negative cross-sections need to be implemented.

关键词

Keywords

Particle transportShielding calculationDiscrete ordinates methodAnisotropic scatteringTransport approximationNegative source fix-up

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Science and Technology on Parallel and Distributed Processing Laboratory, National University of Defense Technology

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College of Smart Energy, Shanghai Jiao Tong University,

School of Nuclear Science and Engineering, Shanghai Jiao Tong University,

Science and Technology on Reactor System Design Technology Laboratory, Nuclear Power Institute of China

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Numerical study of scattering legendre moments and effect of anisotropic scattering on SN shielding calculation

DOI：10.1007/s41365-019-0695-y

摘要

Abstract

关键词

Keywords

references

Numerical study of scattering legendre moments and effect of anisotropic scattering on S_N shielding calculation