TY - JOUR
T1 - Neutron Discrete Velocity Boltzmann Equation and Its Finite Volume Lattice Boltzmann Scheme
JO - Communications in Computational Physics
VL - 5
SP - 1446
EP - 1468
PY - 2019
DA - 2019/01
SN - 25
DO - http://doi.org/10.4208/cicp.OA-2017-0203
UR - https://global-sci.org/intro/article_detail/cicp/12957.html
KW - Neutron transport, neutron discrete velocity Boltzmann equation, neutron finite volume lattice Boltzmann, diffusion theory.
AB - <p style="text-align: justify;">Simulation of neutron transport process plays an important role in nuclear
reactor computation and the numerical technique becomes the focus of nuclear reactor
engineering. This paper provides a neutron finite volume lattice Boltzmann method
(NFV-LBM) for solving the neutron discrete velocity Boltzmann equation (NDVBE),
in which the NDVBE is deduced from the neutron transport equation (NTE) and the
NFV-LBM is obtained by integrating the NDVBE. The macroscopic conservation equations recovered from the NDVBE via multi-scale expansion shows that the NDVBE
has higher-order accuracy than diffusion theory, and the numerical solutions of neutron transport problems reveal the flexibility and applicability of NFV-LBM. This paper
may provide some alternative perspectives for solving the NTE and some new ideas
for researching the relationship between the NTE and other approximations.</p>