Lattice Bhatnagar--Gross--Krook Simulations of Hydromagnetic Double-Diffusive Convection in a Rectangular Enclosure with Opposing Temperature and Concentration Gradients
MA Chang-Feng1,2,3, SHI Bao-Chang1
1Department of Mathematics, Huazhong University of Science and Technology, Wuhan 43007412College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 35000713Department of Computer Science Mathematics, Guilin University of Electronic Technology, Guilin 541004
Lattice Bhatnagar--Gross--Krook Simulations of Hydromagnetic Double-Diffusive Convection in a Rectangular Enclosure with Opposing Temperature and Concentration Gradients
MA Chang-Feng1,2,3;SHI Bao-Chang1
1Department of Mathematics, Huazhong University of Science and Technology, Wuhan 43007412College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 35000713Department of Computer Science Mathematics, Guilin University of Electronic Technology, Guilin 541004
Abstract： The temperature-concentration lattice Bhatnagar--Gross--Krook (TCLBGK) model with a robust boundary scheme is developed for two-dimensional hydromagnetic double-diffusive convective flow of a binary gas mixture in a rectangular enclosure, in which the upper and lower walls are insulated, while the left and right walls are constant temperature and constant concentration, and a uniform magnetic field is applied in the x-direction. In the model the velocity, temperature and concentration fields are solved by three independent LBGK equations, which are combined into a coupled equation for the whole system. In our simulations, we take the Prandtl number Pr=1.0, the Lewis number Le=2.0, the thermal Rayleigh number RaT=105, and the aspect ratio A=2 for the enclosure. The numerical results are found to be in good agreement with those of previous studies.
MA Chang-Feng;;SHI Bao-Chang. Lattice Bhatnagar--Gross--Krook Simulations of Hydromagnetic Double-Diffusive Convection in a Rectangular Enclosure with Opposing Temperature and Concentration Gradients[J]. 中国物理快报, 2006, 23(7): 1842-1845.
MA Chang-Feng, , SHI Bao-Chang. Lattice Bhatnagar--Gross--Krook Simulations of Hydromagnetic Double-Diffusive Convection in a Rectangular Enclosure with Opposing Temperature and Concentration Gradients. Chin. Phys. Lett., 2006, 23(7): 1842-1845.
2006, Vol. 23 
