@Article{CiCP-18-3,
author = {},
title = {Three-Dimensional Lattice Boltzmann Flux Solver and Its Applications to Incompressible Isothermal and Thermal Flows},
journal = {Communications in Computational Physics},
year = {2015},
volume = {18},
number = {3},
pages = {593--620},
abstract = {<p style="text-align: justify;">A three-dimensional (3D) lattice Boltzmann flux solver (LBFS) is presented
in this paper for the simulation of both isothermal and thermal flows. The present
solver combines the advantages of conventional Navier-Stokes (N-S) solvers and lattice
Boltzmann equation (LBE) solvers. It applies the finite volume method (FVM) to
solve the N-S equations. Different from the conventional N-S solvers, its viscous and
inviscid fluxes at the cell interface are evaluated simultaneously by local reconstruction
of LBE solution. As compared to the conventional LBE solvers, which apply the
lattice Boltzmann method (LBM) globally in the whole computational domain, it only
applies LBM locally at each cell interface, and flow variables at cell centers are given
from the solution of N-S equations. Since LBM is only applied locally in the 3D LBFS,
the drawbacks of the conventional LBM, such as limitation to uniform mesh, tie-up
of mesh spacing and time step, tedious implementation of boundary conditions, are
completely removed. The accuracy, efficiency and stability of the proposed solver are
examined in detail by simulating plane Poiseuille flow, lid-driven cavity flow and natural
convection. Numerical results show that the LBFS has a second order of accuracy
in space. The efficiency of the LBFS is lower than LBM on the same grids. However,
the LBFS needs very less non-uniform grids to get grid-independence results and its
efficiency can be greatly improved and even much higher than LBM. In addition, the
LBFS is more stable and robust.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.300514.160115a},
url = {https://global-sci.com/article/80334/three-dimensional-lattice-boltzmann-flux-solver-and-its-applications-to-incompressible-isothermal-and-thermal-flows}
}