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Heat Transfer Research
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ISSN Druckformat: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v40.i8.30
pages 747-775

Novel Hybrid Finite-Difference Thermal Lattice Boltzmann Models for Convective Flows

Ahmad Reza Rahmati
Department of Mechanical Engineering, University of Kashan, Kashan, Iran
Mahmud Ashrafizaadeh
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran
Ebrahim Shirani
Foolad Institute of Technology, Fooladshahr, Isfahan, 8491663763, Iran

ABSTRAKT

In this article, two Hybrid Thermal Lattice Boltzmann (HTLB) methods are proposed to simulate thermally driven flows. In these methods, the velocity field is solved by a Fractional Volumetric Multi Relaxation Time Lattice Boltzmann (FV-MRT-LB) scheme and an En-tropic Lattice Boltzmann (ELB) method, while the advection-diffusion equation for temperature is solved separately by a finite difference technique. In order to demonstrate the ability of the FV-MRT-LB and ELB methods for simulation of isothermal flows, a two-dimensional cavity-driven flow has been simulated at different Reynolds numbers. Then two classical cases of buoyancy-induced flows, i.e., a differentially heated cavity flow and a Rayleigh-Be′nard convective flow, have been studied numerically at different Rayleigh numbers with a Prandtl number of 0.71. The numerical results show that both HT-FV-MRT-LB and HT-ELB methods can produce accurate results.


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