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输运问题蒙特卡罗模拟方法回顾及展望

邓力

邓力. 输运问题蒙特卡罗模拟方法回顾及展望[J]. 强激光与粒子束, 2022, 34: 026001. doi: 10.11884/HPLPB202234.210402
引用本文: 邓力. 输运问题蒙特卡罗模拟方法回顾及展望[J]. 强激光与粒子束, 2022, 34: 026001. doi: 10.11884/HPLPB202234.210402
Deng Li. Retrospect and outlook of Monte Carlo simulated methods for transport problems[J]. High Power Laser and Particle Beams, 2022, 34: 026001. doi: 10.11884/HPLPB202234.210402
Citation: Deng Li. Retrospect and outlook of Monte Carlo simulated methods for transport problems[J]. High Power Laser and Particle Beams, 2022, 34: 026001. doi: 10.11884/HPLPB202234.210402

输运问题蒙特卡罗模拟方法回顾及展望

doi: 10.11884/HPLPB202234.210402
基金项目: 国家自然科学基金项目(11805017, 12001050)
详细信息
    作者简介:

    邓 力,deng_li@iapcm.ac.cn

  • 中图分类号: O571.51

Retrospect and outlook of Monte Carlo simulated methods for transport problems

  • 摘要:

    蒙特卡罗(MC)方法具有复杂几何处理能力强,方法通用灵活,核数据完备,模拟忠实于物理过程等特点,成为中子学数值模拟的首选方法之一。在核能领域,MC方法得益于计算机的快速发展,在辐射屏蔽、反应堆堆芯临界安全分析、乏燃料后处理、放射性废物处置、核设施退役、核事故应急、放射性石油测井、核医学等领域均有广泛应用。对MC方法及软件输运计算做简要回顾,并对未来发展进行展望。

  • 图  1  输运理论发展历程

    Figure  1.  Development history of transport theory

    图  2  Boltzmann输运方程数值求解方法

    Figure  2.  Simulation methods of transport equation

    图  3  MC方法的四位奠基人

    Figure  3.  Four founders of Monte Carlo method

  • [1] 邓力, 李刚. 粒子输运问题的蒙特卡罗模拟方法与应用(上册)[M]. 北京: 科学出版社, 2019

    Deng Li, Li Gang. Monte Carlo simulated methods and applications for particle transport problems[M]. Beijing: Science Press, 2019
    [2] Goertzel G, Kalos M H. Monte Carlo methods in transport problems, in progress in nuclear energy[M]. New York: Pergamon Press, 1958.
    [3] Coleman W A. Mathematical verification of a certain Monte Carlo sampling technique and applications of the technique to radiation transport problems[J]. Nuclear Science and Engineering, 1968, 32(1): 76-81. doi: 10.13182/NSE68-1
    [4] Cramer S N. Next flight estimation for the fictitious scattering Monte Carlo method[J]. Transactions of the American Nuclear Society, 1974, 18: 400-401.
    [5] Cramer S N. Application of the fictitious scattering radiation transport model for deep-penetration Monte Carlo calculations[J]. Nuclear Science and Engineering, 1978, 65(2): 237-253. doi: 10.13182/NSE78-A27154
    [6] Coveyou R R, Cain V R, Yost K J. Adjoint and importance in Monte Carlo application[J]. Nuclear Science and Engineering, 1967, 27(2): 219-234. doi: 10.13182/NSE67-A18262
    [7] Nakamura S. Computational methods in engineering and science[M]. New York: Wiley, 1977.
    [8] Shreider Y A. The Monte Carlo method: the method of statistical trials[M]. Oxford: Pergamon Press, 1966.
    [9] 裴鹿成, 张孝泽. 蒙特卡罗方法及其在粒子输运问题中的应用[M]. 北京: 科学出版社, 1980

    Pei Lucheng, Zhang Xiaoze. Monte Carlo methods and its applications in particle transport problems[M]. Beijing: Science Press, 1980
    [10] Everett C J, Cashwell E D. Second Monte Carlo sampler[R]. LA-5723-MS, 1974.
    [11] Carter L L, Cashwell E D. Particle-transport simulation with the Monte Carlo method[R]. TID-26607, 1975.
    [12] Amster H J, Djomehri M J. Prediction of statistical error in Monte Carlo transport calculations[J]. Nuclear Science and Engineering, 1976, 60(2): 131-142. doi: 10.13182/NSE76-A26869
    [13] Lux I. Systematic study of some standard variance reduction techniques[J]. Nuclear Science and Engineering, 1978, 67(3): 317-325. doi: 10.13182/NSE78-A27252
    [14] Lux I. Variance versus efficiency in transport Monte Carlo[J]. Nuclear Science and Engineering, 1980, 73(1): 66-75. doi: 10.13182/NSE80-A18709
    [15] 许淑艳. 关于蒙特卡罗方法的效率预测[J]. 计算物理, 1984, 1(2):245-252. (Xu Shuyan. Efficiency prediction to the Monte Corlo method[J]. Chinese Journal of Computation Physics, 1984, 1(2): 245-252
    [16] Cooper N C. From cardinals to chaos-reflections on the life and legacy of Stanislaw Ulam[M]. New York: Cambridge University Press, 1989.
    [17] Metropolis M, Ulam S. The Monte Carlo method[J]. Journal of the American Statistical Association, 1949, 44(247): 335-341. doi: 10.1080/01621459.1949.10483310
    [18] Goorley J T, James M R, Booth T E, et al. Initial MCNP6 release overview-MCNP6 beta 3[R]. LA-UR-12-26631, 2012.
    [19] Cashwell E D, Neergaard J R, Taylor W M, et al. MCN: a neutron Monte Carlo code[R]. LA-4751, 1972.
    [20] Cashwell E D, Neergaard J R, Everett C J, et al. Monte Carlo photon codes: MCG and MCP[R]. LA-5157-MS, 1973.
    [21] Briesmeister J F. MCNP-A general purpose Monte Carlo code for neutron and photon transport[R]. LA-7396-M, 1981.
    [22] Agostinelli S, Allison J, Amako K, et al. GEANT4−a simulation toolkit[J]. Nuclear Instruments and Methods in Physics Research Section A:Accelerators Spectrometers Detectors and Associated Equipment, 2003, 506(3): 250-303.
    [23] Leppänen J, Pusa M, Viitanen T, et al. The serpent Monte Carlo code: status, development and applications in 2013[J]. Annals of Nuclear Energy, 2015, 82: 142-150.
    [24] Shim H J, Han B S, Jung J S, et al. McCARD: Monte Carlo code for advanced reactor design and analysis[J]. Nuclear Engineering and Technology, 2012, 44(2): 161-176. doi: 10.5516/NET.01.2012.503
    [25] Deng Li, Ye Tao, Li Gang, et al. 3-D Monte Carlo neutron-photon transport code JMCT and its algorithms[J]//PHYSOR 2014-The Role of Reactor Physics Toward a Sustainable Future. 2014.
    [26] Deng Li, Li Gang, Zhang Baoyin, et al. JMCT V2.0 Monte Carlo code with integrated nuclear system feedback for simulation of BEAVRS model[J]. PHYSOR 2018: reactors physics paving the way towards more efficient systems, Cancun, Mexico, April 23-26, 2018.
    [27] Zheng Zheng, Mei Qiliang, Deng Li. Study on variance reduction technique based on adjoint discrete ordinate method[J]. Annals of Nuclear Energy, 2018, 112: 374-382. doi: 10.1016/j.anucene.2017.10.028
    [28] 竹生东, 邓力, 李树, 等. 堆外核仪表系统(RPN)的预设效验系数理论计算[J]. 核动力工程, 2004, 25(2):152-155. (Zhu Shengdong, Deng Li, Li Shu, et al. Calculation of calibration coefficient of out-core RPN system[J]. Nuclear Power Engineering, 2004, 25(2): 152-155 doi: 10.3969/j.issn.0258-0926.2004.02.013
    [29] 郑征, 丁谦学, 周岩. 三维离散纵标和蒙特卡洛混合方法研究[J]. 核动力工程, 2018, 39(1):1-5. (Zheng Zheng, Ding Qianxue, Zhou Yan. Research on three dimensional discrete ordinate and monte carlo hybrid method[J]. Nuclear Power Engineering, 2018, 39(1): 1-5
    [30] Deng L, Li G, Ye T, et al. MCDB Monte Carlo dosimetry code and its applications[J]. J Nucl. Sci. Tech, 2007, 44(12): 185-187.
    [31] 李刚, 邓力. BNCT优化网格设计及相关算法研究[J]. 高能物理与核物理, 2006, 30(2):171-177. (Li Gang, Deng Li. Optimized voxel model construction and simulation research in BNCT[J]. High Energy Physics and Nuclear Physics, 2006, 30(2): 171-177 doi: 10.3321/j.issn:0254-3052.2006.02.018
    [32] Gaston D, Newman C, Hansen G, et al. MOOSE: a parallel computational framework for coupled systems of nonlinear equations[J]. Nuclear Engineering and Design, 2009, 239(10): 1768-1778. doi: 10.1016/j.nucengdes.2009.05.021
    [33] Mo Zeyao, Zhang Aiqing, Cao Xiaolin, et al. JASMIN: a parallel software infrastructure for scientific computing[J]. Frontiers of Computer Science in China, 2010, 4(4): 480-488. doi: 10.1007/s11704-010-0120-5
    [34] Liu Qingkai, Zhao Weibo, Cheng Jie, et al. A programming framework for large scale numerical simulations on unstructured mesh[C]//2016 IEEE 2nd International Conference on Big Data Security on Cloud (BigDataSecurity), IEEE International Conference on High Performance and Smart Computing (HPSC), and IEEE International Conference on Intelligent Data and Security (IDS). 2016: 301-315.
    [35] Zhang Baoyin, Li Gang, Deng Li, et al. JCOGIN: a parallel programming infrastructure for monte Carlo particle transport[J]. PHYSOR 2014, Kyoto, Japan, (September 28-October 3, 2014).
    [36] 张林波. 三维并行自适应有限元软件平台PHG 0.8. 6版参考手册、使用指南[M]. 中国科学院科学与工程计算重点实验室, 2012

    Zhang Linbo. Reference manual and useful guide of 3D parallel self-adaptive finite element soft platform PHG 0.8. 6. Important Laboratory of Science and Engineering in Chinese Science Academy, 2012
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出版历程
  • 收稿日期:  2021-08-31
  • 修回日期:  2021-10-30
  • 录用日期:  2021-11-05
  • 网络出版日期:  2021-11-09
  • 刊出日期:  2022-01-11

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