@Article{AAMM-10-138,
author = {Mahdi Tekitek , Mohamed},
title = {Multiple Relaxation Time Lattice Boltzmann Simulation of 2D Natural Convection in a Square Cavity at High Rayleigh Numbers},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {10},
number = {1},
pages = {138--158},
abstract = {<p style="text-align: justify;">Natural convection in a square cavity at high Rayleigh numbers is simulated
by multiple relaxation time (MRT) lattice Boltzmann method (LBM) with a separate
distribution function to solve the temperature. The Rayleigh numbers examined here
range from $Ra=10^3$ to $Ra=10^8$. For Rayleigh numbers below $10^8$, the flow remains stationary
and transition occurs beyond $Ra=2×10^8$. Unsteady results at higher Rayleigh
numbers ($Ra=10^9$ and $Ra=10^{10}$) are also investigated. To the best of our knowledge,
this is the first accurate study which involves the high Rayleigh numbers $Ra=10^9$, $10^{10}$.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2015.m1357},
url = {http://global-sci.org/intro/article_detail/aamm/10505.html}
}