Multiple Relaxation Time Lattice Boltzmann Simulation of 2D Natural Convection in a Square Cavity at High Rayleigh Numbers
Year: 2018
Author: Mohamed Mahdi Tekitek
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 1 : pp. 138–158
Abstract
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 $Ra=10^9$, $10^{10}$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2015.m1357
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 1 : pp. 138–158
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Thermal lattice Boltzmann model multiple relaxation time model double population natural convection square cavity.