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

Mohamed Mahdi Tekitek

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.

  • AMS Subject Headings

65Z05, 76N15, 80A20, 82C20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-10-138, author = {}, 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 = {

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 .

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2015.m1357}, url = {http://global-sci.org/intro/article_detail/aamm/10505.html} }
TY - JOUR T1 - Multiple Relaxation Time Lattice Boltzmann Simulation of 2D Natural Convection in a Square Cavity at High Rayleigh Numbers JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 138 EP - 158 PY - 2018 DA - 2018/10 SN - 10 DO - http://dor.org/10.4208/aamm.2015.m1357 UR - https://global-sci.org/intro/aamm/10505.html KW - Thermal lattice Boltzmann model, multiple relaxation time model, double population, natural convection, square cavity. AB -

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 .

Mohamed Mahdi Tekitek. (2020). Multiple Relaxation Time Lattice Boltzmann Simulation of 2D Natural Convection in a Square Cavity at High Rayleigh Numbers. Advances in Applied Mathematics and Mechanics. 10 (1). 138-158. doi:10.4208/aamm.2015.m1357
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