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Study of Multi-Group Neutron Diffusion in Nuclear Fuel Pellet based on Peridynamics
Dahua Hao1, Qiqing Liu1, Yin Yu1, Yile Hu1,*
1 Aerospace Structure Research Center, School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai,
200240, China
* Corresponding Author: Yile Hu. Email:
The International Conference on Computational & Experimental Engineering and Sciences 2023, 26(2), 1-1. https://doi.org/10.32604/icces.2023.09301
Abstract
In this study, a method for solving multigroup neutron diffusion equations for nuclear fuel pellets is
proposed based on the bond-based PeriDynamic (PD) theory. Firstly, adopting the idea of non-local
diffusion, the PD neutron diffusion coefficient is defined and calibrated through the equality of potential
with the traditional neutron diffusion coefficient. Comparing the calculation results of the neutron flux
distribution of the single-group neutron diffusion by the PD method and the traditional finite element
method, the feasibility of the method is verified. Secondly, apply the leakage term in single-group to multigroup and consider the scattering term between different energy groups. Therefore, the calculation of the
multi-group neutron diffusion equation is further studied. Through the research on the four-group twodimensional square plate model, the reference value of the effective multiplication coefficient (0.872297)
and the neutron flux distribution results are in good agreement with those in the reference literature. Also,
calculation model with different materials is considered with the parameters across the interface using 1/2
of those on two sides. Finally, heat transfer caused by neutron diffusion is considered, where the heat source
is determined by neutron flux distribution. Therefore, coupling between the neutron and thermal diffusion
equation can be achieved.
Keywords
Cite This Article
APA Style
Hao, D., Liu, Q., Yu, Y., Hu, Y. (2023). Study of multi-group neutron diffusion in nuclear fuel pellet based on peridynamics. The International Conference on Computational & Experimental Engineering and Sciences, 26(2), 1-1. https://doi.org/10.32604/icces.2023.09301
Vancouver Style
Hao D, Liu Q, Yu Y, Hu Y. Study of multi-group neutron diffusion in nuclear fuel pellet based on peridynamics. Int Conf Comput Exp Eng Sciences . 2023;26(2):1-1 https://doi.org/10.32604/icces.2023.09301
IEEE Style
D. Hao, Q. Liu, Y. Yu, and Y. Hu "Study of Multi-Group Neutron Diffusion in Nuclear Fuel Pellet based on Peridynamics," Int. Conf. Comput. Exp. Eng. Sciences , vol. 26, no. 2, pp. 1-1. 2023. https://doi.org/10.32604/icces.2023.09301