A coupled lattice BGK model for the Boussinesq equations

International Journal for Numerical Methods in Fluids - Tập 39 Số 4 - Trang 325-342 - 2002
Zhaoli Guo1, Baochang Shi2, Chuguang Zheng1
1National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
2Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China

Tóm tắt

Abstract

In this paper, a thermal lattice BGK model is developed for the Boussinesq incompressible fluids. The basic idea is to solve the velocity field and the temperature field using two independent lattice BGK equations, respectively, and then combine them into one coupled model for the whole system. The porous plate problem and the two‐dimensional natural convection flow in a square cavity with Pr=0.71 and various of Rayleigh numbers are simulated using the model. The numerical results are found to be in good agreement with the analytical solutions or those of previous studies. Copyright © 2002 John Wiley & Sons, Ltd.

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Tài liệu tham khảo

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Thông tin xuất bản

International Journal for Numerical Methods in Fluids

Tập 39 Số 4

325-342

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