On-the-fly nuclear cross section generation based on numerical integral method

Rui CHEN; Shumin ZHOU

doi:10.11889/j.0253-3219.2018.hjs.41.120602

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On-the-fly nuclear cross section generation based on numerical integral method

NUCLEAR ENERGY SCIENCE AND ENGINEERING | 更新时间：2021-05-19

- On-the-fly nuclear cross section generation based on numerical integral method
- NUCLEAR TECHNIQUES Vol. 41, Issue 12, Article number: 120602(2018)
- 作者机构：
  
  1.东华理工大学江西省新能源工艺及装备工程技术研究中心南昌 330013
  2.东华理工大学核技术应用教育部工程研究中心南昌 330013
- 作者简介：
- 基金信息：
  
  National Key R & D Project;National Natural Science Foundation of China;Jiangxi Provincial Education Department Project;Open Project Program of Jiangxi Engineering Research Center of Process and Equipment for New Energy;Open Project of Ministry of Education Engineering Research Center
- DOI：10.11889/j.0253-3219.2018.hjs.41.120602
  CLC： TL329.2
- Received：16 July 2018，
  
  Revised：03 September 2018，
  
  Published：10 December 2018
- 稿件说明：
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Rui CHEN, Shumin ZHOU. On-the-fly nuclear cross section generation based on numerical integral method[J]. Nuclear techniques, 2018, 41(12): 120602
DOI：

Rui CHEN, Shumin ZHOU. On-the-fly nuclear cross section generation based on numerical integral method[J]. Nuclear techniques, 2018, 41(12): 120602 DOI： 10.11889/j.0253-3219.2018.hjs.41.120602.

摘要

为准确模拟反应堆内不同温度下中子与各种材料间的相互作用，当反应堆堆芯温度变化时，需要在线生成不同温度下的反应截面。现有在线截面生成方法中，以MCNP6的曲线拟合法使用较为普遍，但该方法的截面生成效率偏低。为此，本文开展了基于数值积分的核截面在线生成方法研究，结合双指数变换与Gauss-Hermite积分替代原有解析积分，提高展宽截面生成效率。典型核素与多普勒反应性系数基准例题结果显示，数值积分方法的曲线拟合计算效率比原始方法平均高10倍以上，且精度与原始方法相对偏差在1.54%以内，验证了本文方法的有效性，可用于反应堆多物理耦合计算。

Abstract

Background

When the reactor core temperature changes

the reaction cross sections at different temperatures need to be generated with on-the-fly methods. Among the existing on-the-fly cross-section generation methods

the curve fitting method is becoming a common tool used in MCNP6

but the efficiency of this method is quite low.

Purpose

This study aims to accurately simulate the interaction between neutrons and various materials at different temperatures in the reactor by developing an on-the-fly generation method of nuclear cross sections.

Methods

In order to overcome the low efficiency of Doppler broadening in the parameter fitting method of MCNP6

double exponential method and Gauss-Hermite method are combined to replace the original analytical integral method to increase the width of the cross section generate efficiency.

Results

The typical nuclides test results showed that the curve fitting calculation efficiency of the numerical integration method is more than 10 times higher than the original one. Doppler reactivity coefficient benchmark example shows that the curve fitting of the numerical integration method is relative to the accuracy of the original method within 1.54%.

Conclusion

This method can be used for multi-physics coupling calculation of reactors.

关键词

Keywords

references

陈锐 , 郝丽娟 , 宋婧 , . 基于分段高斯积分的在线多温度核截面生成方法研究 . 核技术 , 2017 . 40 ( 4 ): 040503 DOI: 10.11889/j.0253-3219.2017.hjs.40.040503 http://doi.org/10.11889/j.0253-3219.2017.hjs.40.040503 http://www.j.sinap.ac.cn/hejishu/CN/abstract/abstract741.shtml .

Rui CHEN , Lijuan HAO , Jing SONG , . On-the-fly Doppler broadening method based on piecewise Gauss quadrature for generating neutron cross section . Nuclear Techniques , 2017 . 40 ( 4 ): 040503 DOI: 10.11889/j.0253-3219.2017.hjs.40.040503 http://doi.org/10.11889/j.0253-3219.2017.hjs.40.040503 http://www.j.sinap.ac.cn/hejishu/CN/abstract/abstract741.shtml .

R Chen , L J Hao , B Wu , . On-the-fly Doppler broadening method based on optimal double-exponential formula . Nuclear Science and Techniques , 2017 . 28 ( 11 ): 166 DOI: 10.1007/s41365-017-0318-4 http://doi.org/10.1007/s41365-017-0318-4 .

Pelowitz D, Goorley J, Fensin M, et al . MCNP6 user's manual version 1.0 LA-CP-13-00634, Rev.0[R]. Los Alamos National Laboratory, 2013.

G Yesilyurt , W Martin , F Brown . On-the-fly Doppler broadening for Monte Carlo codes . Nuclear Science and Engineering , 2012 . 171 ( 3 ): 239 - 257 . DOI: 10.13182/NSE11-67 http://doi.org/10.13182/NSE11-67 .

Cullen D. Program SIGMA1 (version 79-1): Doppler broaden evaluated cross sections in the evaluated nuclear data file/version B (ENDF/B) format, UCRL-50400[R]. Lawrence Livermore Laboratory, 1979.

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D E Cullen , C R Weisbin . Exact Doppler broadening of tabulated cross sections . Nuclear Science & Engineering , 1976 . 60 199 - 229 . http://www.tandfonline.com/doi/citedby/10.13182/NSE76-1 .

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R Chen , L J Hao , J Song , . On-the-fly Doppler broadening method based on optimal double exponential formula . Nuclear Science and Techniques , 2017 . 28 ( 11 ): 166 DOI: 10.1007/s41365-017-0318-4 http://doi.org/10.1007/s41365-017-0318-4 .

Mosteller R. ENDF/B-V, ENDF/B-VI, ENDF/B-VⅡ.0 results for the Doppler-defect benchmark[R]. LA-UR-07-0922, Los Alamos National Laboratory, 2007.

Lib80x-Library based on ENDF/B-VⅢ.0[OL]. https://nucleardata.lanl.gov/ACE/Production/Lib80x.html https://nucleardata.lanl.gov/ACE/Production/Lib80x.html , 2018.

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Related Institution

Key Laboratory of Neutronics and Radiation Safety, Institute of Nuclear Energy Safety Technology, Chinese Academy of Sciences

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School of Nuclear Science and Technology, University of Science and Technology of China

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