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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
[ "陈锐, 男, 1981年出生, 2017年于中国科学技术大学获博士学位, 研究领域为核数据处理", "CHEN Rui, male, born in 1981, graduated from University of Science and Technology of China with a doctoral degree in 2017, focusing on nuclear data processing" ]
周书民, E-mail:smzhou@ecit.edu.cn ZHOU Shumin, E-mail:smzhou@ecit.edu.cn
收稿日期:2018-07-16,
修回日期:2018-09-03,
纸质出版日期:2018-12-10
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陈锐, 周书民. 基于数值积分的核截面在线生成方法研究[J]. 核技术, 2018,41(12):120602
Rui CHEN, Shumin ZHOU. On-the-fly nuclear cross section generation based on numerical integral method[J]. Nuclear techniques, 2018, 41(12): 120602
陈锐, 周书民. 基于数值积分的核截面在线生成方法研究[J]. 核技术, 2018,41(12):120602 DOI: 10.11889/j.0253-3219.2018.hjs.41.120602.
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.
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。
Background
2
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
2
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
2
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
2
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
2
This method can be used for multi-physics coupling calculation of reactors.
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.
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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.
Macfarlane R. The NJOY nuclear data processing system[R]. LA-UR-12-27079, Los Alamos National Laboratory, 2012.
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 .
M Mori , M Sugihara . The double-exponential transformation in numerical analysis . Journal of Computational and Applied Mathematics , 2001 . 127 287 - 296 . DOI: 10.1016/S0377-0427(00)00501-X http://doi.org/10.1016/S0377-0427(00)00501-X .
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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