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=103 to Ra=108. For Rayleigh numbers below 108, the flow remains stationary and transition occurs beyond Ra=2×108. Unsteady results at higher Rayleigh numbers (Ra=109 and Ra=1010) are also investigated. To the best of our knowledge, this is the first accurate study which involves the high Rayleigh numbers Ra=109, 1010.
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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.