@Article{CiCP-25-1446,
author = {Yahui Wang, Ming Xie and Yu Ma},
title = {Neutron Discrete Velocity Boltzmann Equation and Its Finite Volume Lattice Boltzmann Scheme},
journal = {Communications in Computational Physics},
year = {2019},
volume = {25},
number = {5},
pages = {1446--1468},
abstract = {<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>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0203},
url = {http://global-sci.org/intro/article_detail/cicp/12957.html}
}