基于切比雪夫有理逼近方法的蒙特卡罗燃耗计算研究与验证

范文玎; 孙光耀; 张彬航; 陈锐; 郝丽娟

doi:10.11889/j.0253-3219.2016.hjs.39.040501

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基于切比雪夫有理逼近方法的蒙特卡罗燃耗计算研究与验证

更新时间：2021-05-25

- 基于切比雪夫有理逼近方法的蒙特卡罗燃耗计算研究与验证
- Research and verification of Monte Carlo burnup calculations based on Chebyshev rational approximation method
- 核技术 2016年39卷第4期文章编号：040501
- 作者机构：
  
  1.中国科学技术大学核科学技术学院合肥 230027;
  2.中国科学院核能安全技术研究所中子输运理论与辐射安全重点实验室合肥 230031
- 作者简介：
  
  范文玎,男,1990年出生,2013年毕业于哈尔滨工程大学,现为硕士研究生,研究领域为核科学与技术
  孙光耀,E-mail:guangyao.sun@fds.org.cn
- 基金信息：
  
  中国科学院战略性先导科技专项(No.XDA03040000)、国家自然科学基金(No.11305205、No.11305203)资助()
- DOI：10.11889/j.0253-3219.2016.hjs.39.040501
  中图分类号： TL329.2
- 收稿日期：2015-11-30，
  
  录用日期：2016-03-08，
  
  纸质出版日期：2016-01-25
- 稿件说明：
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范文玎, 孙光耀, 张彬航, 等. 基于切比雪夫有理逼近方法的蒙特卡罗燃耗计算研究与验证[J]. 核技术, 2016,39(4):040501

Wending FAN, Guangyao SUN, Binhang ZHANG, et al. Research and verification of Monte Carlo burnup calculations based on Chebyshev rational approximation method[J]. Nuclear techniques, 2016, 39(4): 040501
范文玎, 孙光耀, 张彬航, 等. 基于切比雪夫有理逼近方法的蒙特卡罗燃耗计算研究与验证[J]. 核技术, 2016,39(4):040501 DOI： 10.11889/j.0253-3219.2016.hjs.39.040501.

Wending FAN, Guangyao SUN, Binhang ZHANG, et al. Research and verification of Monte Carlo burnup calculations based on Chebyshev rational approximation method[J]. Nuclear techniques, 2016, 39(4): 040501 DOI： 10.11889/j.0253-3219.2016.hjs.39.040501.

摘要

燃耗计算在反应堆设计、分析研究中起着重要作用。相比于传统点燃耗算法

切比雪夫有理逼近方法(Chebyshev rational approximation method

CRAM)具有计算速度快、精度高的优点。基于超级蒙特卡罗核计算仿真软件系统SuperMC(Super Monte Carlo Simulation Program for Nuclear and Radiation Process)

采用切比雪夫有理逼近方法和桶排序能量查找方法

进行了蒙特卡罗燃耗计算的初步研究与验证。通过燃料棒燃耗例题以及IAEA-ADS(International Atomic Energy Agency-Accelerator Driven Systems)国际基准题

初步验证了该燃耗计算方法的正确性

且IAEA-ADS基准题测试表明

与统一能量网格方法相比

桶排序能量查找方法在保证了计算效率的同时减少了内存开销。

Abstract

Background:

Burnup calculation is the key point of reactor design and analysis. It's significant to calculate the burnup situation and isotopic atom density accurately while a reactor is being designed.

Purpose:

Based on the Monte Carlo particle simulation code SuperMC(Super Monte Carlo Simulation Program for Nuclear and Radiation Process)

this paper aimed to conduct preliminary study and verification on Monte Carlo burnup calculations.

Methods:

For the characteristics of accuracy

this paper adopted Chebyshev rational approximation method(CRAM) as the point-burnup algorithm. Moreover

instead of the union energy grids method

this paper adopted an energy searching method based on bucket sort algorithm

which reduced the memory overhead on the condition that the calculation efficiency is ensured.

Results:

By calculating the fuel rod burnup problem and the IAEA-ADS(International Atomic Energy Agency-Accelerator Driven Systems) international benchmark

the simulation results were basically consistent with Serpent and other counties' results

respectively. In addition

the bucket sort energy searching method reduced about 95% storage space compared with union energy grids method for IAEA-ADS benchmark.

Conclusion:

Depending on these results

the correctness of burnup calculations method implemented by this paper has been verified.

关键词

Keywords

references

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