Finite difference method for 3D multi-group neutron diffusion equation based on large-scale parallel computation

Wu Wenbin; Yu Yingrui; Xiang Hongzhi; Ning Zhonghao; Li Qing

doi:10.11884/HPLPB201729.160328

Volume 29 Issue 08

Aug. 2017

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > High Power Laser and Particle Beams > 2017 > 29(08): 086001

Huang Yuchen, Qian Yikun, Feng Peng, et al. Simulation of radiation field from isotopic gamma source collimation[J]. High Power Laser and Particle Beams, 2021, 33: 036002. doi: 10.11884/HPLPB202133.200294

Citation:

Wu Wenbin, Yu Yingrui, Xiang Hongzhi, et al. Finite difference method for 3D multi-group neutron diffusion equation based on large-scale parallel computation[J]. High Power Laser and Particle Beams, 2017, 29: 086001. doi: 10.11884/HPLPB201729.160328

Citation:

PDF( 1254 KB)

Finite difference method for 3D multi-group neutron diffusion equation based on large-scale parallel computation

doi: 10.11884/HPLPB201729.160328

1.
Science and Technology on Reactor System Design Technology Laboratory,Nuclear Power Institute of China,Chengdu 610041,China

Received Date: 2016-11-16
Rev Recd Date: 2017-04-17
Publish Date: 2017-08-15

Abstract

Abstract

Nuclear design and fuel management of submarine reactors and NPP reactors are based on solving 3D multi-group neutron diffusion equation accurately and efficiently. One of the methods for this equation is finite difference method (FDM), which is simple, accurate and mature. However, the computation burden of FDM is huge and the memory requirement is high, thus limiting FDMs scale and application scope. In this paper, FDM for 3D multi-group neutron diffusion equation based on large-scale parallel computation is researched. Mesh-centered FDM is used to discrete the neutron diffusion equation. Large-scale parallel computation is realized by domain decomposition based on MPI, and its accelerated with multi-group multi-domain coupled PGMRES algorithm. ParaFiDi code is developed on high performance cluster and verified by several benchmarks such as IAEA3D and PHWR. Numerical results demonstrate that ParaFiDi code could obtain good efficiency and accuracy.

FullText(HTML)

References(0)

References

Relative Articles

[1]	Zhang Song, Wei Biao, Liu Yixin, Mao Benjiang, Qian Yikun, Huang Yuchen, Feng Peng. Monte Carlo simulation research on reference neutron radiation of ²⁴¹Am-Be radionuclide[J]. High Power Laser and Particle Beams, 2020, 32(5): 056001. doi: 10.11884/HPLPB202032.190478
[2]	He Hui, Yu Haijun, Wang Yi, Dai Wenhua. Design of bremsstrahlung target of 4 MeV flash X-ray machine[J]. High Power Laser and Particle Beams, 2019, 31(12): 125102. doi: 10.11884/HPLPB201931.190273
[3]	Sun Huifang, Zhang Lingyu, Dong Zhiwei, Zhou Haijing. Monte Carlo simulations of photon-electron transports of cylinder cavity[J]. High Power Laser and Particle Beams, 2019, 31(10): 103221. doi: 10.11884/HPLPB201931.190143
[4]	Shen Jingwen, Hu Ye, Zheng Yu, Ma Xubo. Three-dimensional Monte Carlo transport code JMCT in shielding engineering application[J]. High Power Laser and Particle Beams, 2018, 30(4): 046002. doi: 10.11884/HPLPB201830.170222
[5]	Shi Tao, Ma Jimin, Qiu Youheng, Huang Hongwen, Li Zhenghong, Qian Dazhi. Global variance reduction based on forward Monte Carlo calculation[J]. High Power Laser and Particle Beams, 2018, 30(1): 016006. doi: 10.11884/HPLPB201830.170163
[6]	Xu Yangyang, Tuo Xianguo, Shi Rui, Zheng Honglong, Liu Yuqi. Alpha radioactive source spectrum measurement simulationbased on Monte Carlo method[J]. High Power Laser and Particle Beams, 2017, 29(04): 044001. doi: 10.11884/HPLPB201729.160481
[7]	Lü Wenhui, Guo Huiping, Lü Ning, Hou Yijie, Wang Xiaotian, Zhao Kuo, Tian Chenyang. Design of alignment and shielding structure for small D-D neutron tube with 2.45 MeV neutron source[J]. High Power Laser and Particle Beams, 2017, 29(12): 126008. doi: 10.11884/HPLPB201729.170225
[8]	Dong Xiaoxia, Liu Qiang, Zhao Xiang, Yan Liping, Zhou Haijing, Huang Kama. Boundary condition in analysis of high-frequency electromagnetic field coupling to non-uniform multi-conductor transmission line[J]. High Power Laser and Particle Beams, 2017, 29(09): 093201. doi: 10.11884/HPLPB201729.170058
[9]	Yexin Ouwen, Liu Shichang, Wang Kan. Research on RMC neutronics-thermal hydraulics coupling based on universal coupling methodology[J]. High Power Laser and Particle Beams, 2017, 29(01): 016003. doi: 10.11884/HPLPB201729.160190
[10]	Wang Yi, Li Qin, Dai Zhiyong. Analysis on influence of beam emittance on spatial distribution of exposure using Monte Carlo simulation[J]. High Power Laser and Particle Beams, 2017, 29(06): 065006. doi: 10.11884/HPLPB201729.170029
[11]	Xu Yang, Wei Biao, Mao Benjiang, Liu Yixin, Feng Peng. Shielding research of minitype reference radiation device based on Monte Carlo simulation[J]. High Power Laser and Particle Beams, 2016, 28(09): 096004. doi: 10.11884/HPLPB201628.160018
[12]	Sun Jialong, Yu Ganglin, She Ding, Wang Kan. Development of repeat geometry function in reactor Monte Carlo code RMC[J]. High Power Laser and Particle Beams, 2013, 25(01): 219-222. doi: 10.3788/HPLPB20132501.0219
[13]	Yu Hui, Zin Cho. Comparison of stochastic models in Monte Carlo simulation of coated particle fuels[J]. High Power Laser and Particle Beams, 2013, 25(01): 143-146. doi: 10.3788/HPLPB20132501.0143
[14]	Zhang Jinzhao, Tuo Xianguo, Li Zhe, Li Li, Wan Zhixiong. Monte Carlo simulation of radiation measurement of Na activation in blood[J]. High Power Laser and Particle Beams, 2013, 25(01): 189-192. doi: 10.3788/HPLPB20132501.0189
[15]	Yan Yonghong, Zhao Zongqing, Wu Yuchi, Wei Lai, Hong Wei, Gu Yuqiu, Cao Leifeng, Yao Zeen. Monte Carlo simulation on single photon counting charge coupled device[J]. High Power Laser and Particle Beams, 2013, 25(01): 211-214. doi: 10.3788/HPLPB20132501.0211
[16]	Xiao Bo, Huang Jiaofeng, Zhang Xuan, Jing Yuefeng. "Measurement” of parameters in discrete program using Monte Carlo simulation[J]. High Power Laser and Particle Beams, 2013, 25(01): 138-142. doi: 10.3788/HPLPB20132501.0138
[17]	Song Ting, Zhou Linghong. Dose calculation of 6 MV Truebeam using Monte Carlo method[J]. High Power Laser and Particle Beams, 2012, 24(12): 2975-2978. doi: 10.3788/HPLPB20122412.2975
[18]	Huang Jiaofeng, ZHong Min, Liu Jin, Jing Yuefeng, Liu Jun, SHi Jiangjun. Parallelization of flash X-ray radiography Monte Carlo code[J]. High Power Laser and Particle Beams, 2012, 24(12): 2965-2969. doi: 10.3788/HPLPB20122412.2965
[19]	luan xiting, deng yongfeng, tan chang, han xianwei, mao genwang. Properties of electron-beam produced air plasma in nonuniform magnetic field[J]. High Power Laser and Particle Beams, 2010, 22(09): 0- .
[20]	pan ruzheng, wang jue, yan ping, sun guangsheng, zhang dongdong, zhou yuan, li mintang. Monte Carlo simulation of laser-triggered flashover in air condition[J]. High Power Laser and Particle Beams, 2010, 22(04): 0- .