@Article{CiCP-3-3,
author = {},
title = {Study of Simple Hydrodynamic Solutions with the Two-Relaxation-Times Lattice Boltzmann Scheme},
journal = {Communications in Computational Physics},
year = {2008},
volume = {3},
number = {3},
pages = {519--581},
abstract = {<p style="text-align: justify;">For simple hydrodynamic solutions, where the pressure and the velocity are
polynomial functions of the coordinates, exact microscopic solutions are constructed
for the two-relaxation-time (TRT) Lattice Boltzmann model with variable forcing and
supported by exact boundary schemes. We show how simple numerical and analytical solutions can be interrelated for Dirichlet velocity, pressure and mixed (pressure/tangential velocity) multi-reflection (MR) type schemes. Special care is taken to
adapt them for corners, to examine the uniqueness of the obtained steady solutions and
staggered invariants, to validate their exact parametrization by the non-dimensional
hydrodynamic and a &quot;kinetic&quot; (collision) number. We also present an inlet/outlet
&quot;constant mass flux&quot; condition. We show, both analytically and numerically, that the
kinetic boundary schemes may result in the appearance of Knudsen layers which are
beyond the methodology of the Chapman-Enskog analysis. Time dependent Dirichlet
boundary conditions are investigated for pulsatile flow driven by an oscillating pressure drop or forcing. Analytical approximations are constructed in order to extend the
pulsatile solution for compressible regimes.</p>},
issn = {1991-7120},
doi = {https://doi.org/2008-CiCP-7865},
url = {https://global-sci.com/article/81212/study-of-simple-hydrodynamic-solutions-with-the-two-relaxation-times-lattice-boltzmann-scheme}
}