@Article{CiCP-20-2,
author = {},
title = {Finite Volume Lattice Boltzmann Method for Nearly Incompressible Flows on Arbitrary Unstructured Meshes},
journal = {Communications in Computational Physics},
year = {2016},
volume = {20},
number = {2},
pages = {301--324},
abstract = {<p style="text-align: justify;">A genuine finite volume method based on the lattice Boltzmann equation
(LBE) for nearly incompressible flows is developed. The proposed finite volume lattice
Boltzmann method (FV-LBM) is grid-transparent, i.e., it requires no knowledge of
cell topology, thus it can be implemented on arbitrary unstructured meshes for effective
and efficient treatment of complex geometries. Due to the linear advection term in
the LBE, it is easy to construct multi-dimensional schemes. In addition, inviscid and
viscous fluxes are computed in one step in the LBE, as opposed to in two separate steps
for the traditional finite-volume discretization of the Navier-Stokes equations. Because
of its conservation constraints, the collision term of the kinetic equation can be treated
implicitly without linearization or any other approximation, thus the computational
efficiency is enhanced. The collision with multiple-relaxation-time (MRT) model is
used in the LBE. The developed FV-LBM is of second-order convergence. The proposed
FV-LBM is validated with three test cases in two-dimensions: (a) the Poiseuille
flow driven by a constant body force; (b) the Blasius boundary layer; and (c) the steady
flow past a cylinder at the Reynolds numbers Re=10, 20, and 40. The results verify the
designed accuracy and efficacy of the proposed FV-LBM.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.211015.040316a},
url = {https://global-sci.com/article/80199/finite-volume-lattice-boltzmann-method-for-nearly-incompressible-flows-on-arbitrary-unstructured-meshes}
}