@Article{CiCP-9-1293,
author = {Minoru Watari},
title = {Rotational Slip Flow in Coaxial Cylinders by the Finite-Difference Lattice Boltzmann Methods},
journal = {Communications in Computational Physics},
year = {2011},
volume = {9},
number = {5},
pages = {1293--1314},
abstract = {<p style="text-align: justify;">Recent studies on applications of the lattice Boltzmann method (LBM) and
the finite-difference lattice Boltzmann method (FDLBM) to velocity slip simulations
are mostly on one-dimensional (1D) problems such as a shear flow between parallel
plates. Applications to a 2D problem may raise new issues. The author performed
numerical simulations of rotational slip flow in coaxial cylinders as an example of 2D
problem. Two types of 2D models were used. The first were multi-speed FDLBM models
proposed by the author. The second was a standard LBM, the D2Q9 model. The
simulations were performed applying a finite difference scheme to both the models.
The study had two objectives. The first was to investigate the accuracies of LBM and
FDLBM on applications to rotational slip flow. The second was to obtain an experience
on application of the cylindrical coordinate system. The FDLBM model with 8
directions and the D2Q9 model showed an anisotropic flow pattern when the relaxation
time constant or the Knudsen number was large. The FDLBM model with 24
directions showed accurate results even at large Knudsen numbers.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.231009.091110s},
url = {http://global-sci.org/intro/article_detail/cicp/7552.html}
}