Abstract
To simulate turbulent buoyant flow in geophysical science, where usually the vorticity-streamfunction equations instead of the primitive-variables Navier-Stokes equations serve as the governing equations, a novel and simple thermal lattice Boltzmann model is proposed based on large eddy simulation (LES). Thanks to its intrinsic features, the present model is efficient and simple for thermal turbulence simulation. Two-dimensional numerical simulations of natural convection in a square cavity were performed at high Rayleigh number varying from 104 to 1010 with Prandtl number at 0.7. The advantages of the present model are validated by numerical experiments.
Highlights
In the last two decades, the lattice Boltzmann method (LBM) has proved its capability to simulate a large variety of fluid flows [1,2,3,4,5,6,7,8]
The effective lattice relaxation time τe depends on νe. Treeck and his cooperators combined the LBM and the large eddy simulation (LES) to investigate turbulent convective flows [29] and Liu et al designed a thermal Bhatnagar-GrossKrook (BGK) model based on the LES to simulate turbulent natural convection due to internal heat generation up to Ra = 1013 [30]
In order to simulate turbulent buoyant flow in geophysical science, where usually the vorticity-streamfunction equations instead of the primitive-variables NS equations serve as the governing equations, we propose a novel and simple thermal LB model based on LES
Summary
In the last two decades, the lattice Boltzmann method (LBM) has proved its capability to simulate a large variety of fluid flows [1,2,3,4,5,6,7,8]. The effective lattice relaxation time τe depends on νe Treeck and his cooperators combined the LBM and the LES to investigate turbulent convective flows [29] and Liu et al designed a thermal Bhatnagar-GrossKrook (BGK) model based on the LES to simulate turbulent natural convection due to internal heat generation up to Ra = 1013 [30]. To overcome the above disadvantages, in this paper a novel and simple LES-based thermal LB model, which is an extension of the model designed in our previous work [34, 35], is proposed to simulate turbulent buoyant flow.
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