Deterministic numerical simulation of non-linear neutron transport in inertial confinement fusion

Huang Kai; Fu Xuedong; Ying Yangjun; Li Jinhong; Zhu Shengdong

doi:10.11884/HPLPB201830.180158

Volume 30 Issue 11

Nov. 2018

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Zhao Ying, He Jun, Wang Lin, et al. Thermal analysis and solutions of new parametric current transformer in BEPC Ⅱ[J]. High Power Laser and Particle Beams, 2018, 30: 085106. doi: 10.11884/HPLPB201830.180027

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Huang Kai, Fu Xuedong, Ying Yangjun, et al. Deterministic numerical simulation of non-linear neutron transport in inertial confinement fusion[J]. High Power Laser and Particle Beams, 2018, 30: 116001. doi: 10.11884/HPLPB201830.180158

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Deterministic numerical simulation of non-linear neutron transport in inertial confinement fusion

doi: 10.11884/HPLPB201830.180158

Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Received Date: 2018-05-31
Rev Recd Date: 2018-08-15
Publish Date: 2018-11-15

Abstract

Abstract

Extremely high density neutrons could be produced in inertial confinement fusion, therefore the neutron-neutron collision process can no longer be neglected, especially that it leads to production of super-high energy neutrons of important value for diagnosis technique. For numerical simulation of neutron-neutron collision, Monte Carlo methods generally suffer from low efficiency, while deterministic methods have limited accuracy. In this paper, several measures are taken to improve the accuracy of deterministic method: Firstly, the phase space discretization of neutron transport calculation adopts discontinuous finite element method, and the numbers of angle discretization and the scattering order are relatively large; Secondly, direct Monte Carlo tallying method is used to obtain highly accurate multi-group cross sections; thirdly, a neutron-neutron collision source iteration method that converges to real solution is introduced. At last, numerical verification shows that the enhanced deterministic method has favorable stability and accuracy, the non-linear problem arise from consideration of neutron-neutron collision process can be solved with reliable accuracy.
- neutron-neutron collision,
- deterministic method,
- non-linear transport,
- collision source iteration,
- discontinuous finite element

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References

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