Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 2017, Vol. 28 ›› Issue (3): 36 doi: 10.1007/s41365-017-0185-z

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Lattice Boltzmann method for simulation of time-dependent neutral particle transport

Ya-Hui Wang 1  Li-Ming Yan Bang-Yang Xia 2  Yu Ma 1   

  1. 1 School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China
    2 Science and Technology on Reactor System Design Technology Laboratory, Nuclear Power Institute of China, Chengdu 610000, China
Ya-Hui Wang, Lin-Ming Yan, Bang-Yang Xia, Yu Ma. Lattice Boltzmann method for simulation of time-dependent neutral particle transport.Nuclear Science and Techniques, 2017, 28(3): 36     doi: 10.1007/s41365-017-0185-z


In this paper, a novel model is proposed to investigate the neutron transport in scattering and absorbing medium. This solution to the linear Boltzmann equation is expanded from the idea of lattice Boltzmann method (LBM) with the collision and streaming process. The theoretical derivation of lattice Boltzmann model for transient neutron transport problem is proposed for the first time. The fully implicit backward difference scheme is used to ensure the numerical stability, and relaxation time and equilibrium particle distribution function are obtained. To validate the new lattice Boltzmann model, the LBM formulation is tested for a homogenous media with different sources, and both transient and steady-state LBM results get a good agreement with the benchmark solutions.

Key words: Transient neutron transport, Lattice, Boltzmann method, Linear Boltzmann equation