Volume 10, Issue 1
Multiple Relaxation Time Lattice Boltzmann Simulation of 2D Natural Convection in a Square Cavity at High Rayleigh Numbers

Adv. Appl. Math. Mech., 10 (2018), pp. 138-158.

Published online: 2018-10

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• 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 .

• Keywords

Thermal lattice Boltzmann model, multiple relaxation time model, double population, natural convection, square cavity.