Improved algorithms and coupled neutron-photon transport for auto-importance sampling method

Xin Wang; Jun-Li Li; Zhen Wu; Rui Qiu; Chun-Yan Li; Man-Chun Liang; Hui Zhang; Zhi Gang; Hong Xu

doi:10.1088/1674-1137/41/1/014103

Chinese Physics C> 2017, Vol. 41> Issue(1) : 014103 DOI: 10.1088/1674-1137/41/1/014103

Improved algorithms and coupled neutron-photon transport for auto-importance sampling method

Xin Wang ^1,2 ,
Jun-Li Li ^1,2 ,
Zhen Wu ^1,3 ,
Rui Qiu ^1,2,, ,
Chun-Yan Li ^1,3 ,
Man-Chun Liang ¹ ,
Hui Zhang ^1,2 ,
Zhi Gang ⁴ ,
Hong Xu ⁴

1.
Department of Engineering Physics, Tsinghua University, Beijing 100084, China
2.
Key Laboratory of Particle &
3.
Nuctech Company Limited, Beijing 100084, China
4.
Department of Engineering Physics, Tsinghua University, Beijing 100084, China
5.
State Nuclear Hua Qing(Beijing) Nuclear Power Technology R &

Abstract
HTML
Reference
Related

PDF

Abstract：
The Auto-Importance Sampling (AIS) method is a Monte Carlo variance reduction technique proposed for deep penetration problems, which can significantly improve computational efficiency without pre-calculations for importance distribution. However, the AIS method is only validated with several simple examples, and cannot be used for coupled neutron-photon transport. This paper presents improved algorithms for the AIS method, including particle transport, fictitious particle creation and adjustment, fictitious surface geometry, random number allocation and calculation of the estimated relative error. These improvements allow the AIS method to be applied to complicated deep penetration problems with complex geometry and multiple materials. A Completely coupled Neutron-Photon Auto-Importance Sampling (CNP-AIS) method is proposed to solve the deep penetration problems of coupled neutron-photon transport using the improved algorithms. The NUREG/CR-6115 PWR benchmark was calculated by using the methods of CNP-AIS, geometry splitting with Russian roulette and analog Monte Carlo, respectively. The calculation results of CNP-AIS are in good agreement with those of geometry splitting with Russian roulette and the benchmark solutions. The computational efficiency of CNP-AIS for both neutron and photon is much better than that of geometry splitting with Russian roulette in most cases, and increased by several orders of magnitude compared with that of the analog Monte Carlo.
- Monte Carlo ,
- deep penetration ,
- auto-importance sampling ,
- coupled neutron-photon transport

References

[1]	H. C. Gupta, Ann. Nucl. Energ., 11(6):283-288(1984)
[2]	R. P. Gardner, M. Mickael, K. Verghese et al, Nucl. Sci. Eng., 98:1(1):51-63(1988).
[3]	A. Haghighat, J. C. Wagner, Prog. Nucl. Energ., 42(1):25-53(2003)
[4]	H. P. Smith, J. C. Wagner, Nucl. Sci. Eng., 149(1):23-37(2005)
[5]	L. J. Yuan, Y. X. Chen, J. R. Han, At. Energ. Sci. Technol., 48(3):407-411(2014) (in Chinese)
[6]	W. T. Urban, T. J. Seed, D. J. Dudziak, Nucleonic analysis of a preliminary design for the ETF neutral-beam-injector duct shielding, in 4th Topical Meeting on the Technology of Controlled Nuclear Fusion, (USA, 1981), p. 479
[7]	M. Kurosawa, Radiat. Prot. Dosim., 116(1-4 Part 2):513-517(2005).
[8]	J. L. Li, C. Y. Li, Z. Wu, Prog. Nucl. Sci. Technol., 2:732-737(2011)
[9]	C. Y. Li, Research of Point Flux Estimation and Deep Penetration in Monte Carlo Methods, M.S. Thesis (Beijing, Tsinghua Univ. 2008) (in Chinese)
[10]	J. Temsamani,T. Pederson, MCNP-A General Monte Carlo N-Particle Transport Code, Version 5. (Los Alamos National Laboratory, Oak Ridge, TN, 2003)
[11]	J. J. Fan, Research of Rare but Important Events Simulation in Monte Carlo Methods, Ph.D. Thesis (Beijing, Tsinghua Univ. 2004) (in Chinese)
[12]	J. F. Carew, PWR and BWR pressure vessel fluence calculation benchmark problems and solutions. (Division of Engineering Technology, Office of Nuclear Regulatory Research, US Nuclear Regulatory Commission, 2001)

[1]	Huixiao Duan , Fan Zhang , Kailei Wang , Jun Su . Nuclear temperature of spectator source extracted by neutron spectra in ¹²⁴Sn,¹⁰⁷Sn + ¹²⁰Sn collisions at 600 MeV/nucleon. Chinese Physics C, 2026, 50(2): 1-10.
[2]	. Testing Einstein-Maxwell Power-Yang-Mills hair via black hole photon rings. Chinese Physics C, 2026, 50(1): 015101. doi: 10.1088/1674-1137/ae039c
[3]	Li Tang , Liang Liu , Ying Wu . Null test of cosmic curvature using deep learning method. Chinese Physics C, 2026, 50(2): 1-8.
[4]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[5]	Yuan-Xing Gao . Higher-order inner photon rings of a horizonless ultracompact object with an antiphoton sphere and their interferometric pattern. Chinese Physics C, 2025, 49(10): 105102. doi: 10.1088/1674-1137/addc52
[6]	Siyu Tang , Zuman Zhang , Chao Zhang , Liang Zheng , Renzhuo Wan . Investigating the transverse-momentum- and pseudorapidity-dependent flow vector decorrelation in p–Pb collisions with a multi-phase transport model. Chinese Physics C, 2025, 49(12): 124104. doi: 10.1088/1674-1137/adef1b
[7]	. Bayesian and Monte Carlo approaches to estimating uncertainty for the measurement of the bound-state β^- decay of ²⁰⁵Tl⁸¹⁺. Chinese Physics C, 2025, 49(11): 114001. doi: 10.1088/1674-1137/ade956
[8]	GUO Yan-Qing , SONG Jie . Quantitative conditions for the formation of p-wave neutron halos. Chinese Physics C, 2011, 35(2): 158-162. doi: 10.1088/1674-1137/35/2/010

Access

Get Citation

Xin Wang, Jun-Li Li, Zhen Wu, Rui Qiu, Chun-Yan Li, Man-Chun Liang, Hui Zhang, Zhi Gang and Hong Xu. Improved algorithms and coupled neutron-photon transport for auto-importance sampling method[J]. Chinese Physics C, 2017, 41(1): 014103. doi: 10.1088/1674-1137/41/1/014103

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2016-03-23

Fund

Supported by the subject of National Science and Technology Major Project of China (2013ZX06002001-007, 2011ZX06004-007) and National Natural Science Foundation of China (11275110, 11375103)}

Article Metric

Article Views(3012)
PDF Downloads(93)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Improved algorithms and coupled neutron-photon transport for auto-importance sampling method

Corresponding author: Rui Qiu,

1. Department of Engineering Physics, Tsinghua University, Beijing 100084, China

2. Key Laboratory of Particle &

3. Nuctech Company Limited, Beijing 100084, China

4. Department of Engineering Physics, Tsinghua University, Beijing 100084, China

5. State Nuclear Hua Qing(Beijing) Nuclear Power Technology R &

Received Date: 2016-03-23

Available Online: 2017-01-05

Fund Project: Supported by the subject of National Science and Technology Major Project of China (2013ZX06002001-007, 2011ZX06004-007) and National Natural Science Foundation of China (11275110, 11375103)}

Abstract: The Auto-Importance Sampling (AIS) method is a Monte Carlo variance reduction technique proposed for deep penetration problems, which can significantly improve computational efficiency without pre-calculations for importance distribution. However, the AIS method is only validated with several simple examples, and cannot be used for coupled neutron-photon transport. This paper presents improved algorithms for the AIS method, including particle transport, fictitious particle creation and adjustment, fictitious surface geometry, random number allocation and calculation of the estimated relative error. These improvements allow the AIS method to be applied to complicated deep penetration problems with complex geometry and multiple materials. A Completely coupled Neutron-Photon Auto-Importance Sampling (CNP-AIS) method is proposed to solve the deep penetration problems of coupled neutron-photon transport using the improved algorithms. The NUREG/CR-6115 PWR benchmark was calculated by using the methods of CNP-AIS, geometry splitting with Russian roulette and analog Monte Carlo, respectively. The calculation results of CNP-AIS are in good agreement with those of geometry splitting with Russian roulette and the benchmark solutions. The computational efficiency of CNP-AIS for both neutron and photon is much better than that of geometry splitting with Russian roulette in most cases, and increased by several orders of magnitude compared with that of the analog Monte Carlo.

HTML

Reference (12)

Improved algorithms and coupled neutron-photon transport for auto-importance sampling method

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article