TY - JOUR
T1 - Multiple Relaxation Time Lattice Boltzmann Simulation of 2D Natural Convection in a Square Cavity at High Rayleigh Numbers
AU - Mahdi Tekitek , Mohamed
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 138
EP - 158
PY - 2018
DA - 2018/10
SN - 10
DO - http://doi.org/10.4208/aamm.2015.m1357
UR - https://global-sci.org/intro/article_detail/aamm/10505.html
KW - Thermal lattice Boltzmann model, multiple relaxation time model, double population, natural convection, square cavity.
AB - <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>