@Article{CiCP-17-1169,
author = {Lallemand , Pierre and Dubois , François},
title = {Comparison of Simulations of Convective Flows},
journal = {Communications in Computational Physics},
year = {2018},
volume = {17},
number = {5},
pages = {1169--1184},
abstract = {<p style="text-align: justify;">We show that a single particle distribution for the &quot;energy-conserving&quot; D2Q13 lattice Boltzmann scheme can simulate coupled effects involving advection
and diffusion of velocity and temperature. We consider various test cases: non-linear
waves with periodic boundary conditions, a test case with buoyancy, propagation of
transverse waves, Couette and Poiseuille flows. We test various boundary conditions
and propose to mix bounce-back and anti-bounce-back numerical boundary conditions
to take into account velocity and temperature Dirichlet conditions. We present
also first results for the de Vahl Davis heated cavity. Our results are compared with
the coupled D2Q9-D2Q5 lattice Boltzmann approach for the Boussinesq system and
with an elementary finite differences solver for the compressible Navier-Stokes equations.
Our main experimental result is the loss of symmetry in the de Vahl Davis cavity
computed with the single D2Q13 lattice Boltzmann model without the Boussinesq
hypothesis. This result is confirmed by a direct Navier Stokes simulation with finite
differences.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2014.m400},
url = {http://global-sci.org/intro/article_detail/cicp/11007.html}
}