本文采用插值格子-Boltzmann方法对较大Ra数范围下的二维Rayleigh—Bénard对流进行了模拟研究。模拟中针对不同的Ra数,采用不同的插值比。模拟获得了系统的最大垂直方向速度分量随时间的变化规律、系统的流线以及等温线分布、Nu数与Ra数的变化规律以及壁面附近水平截面平均温度的分布。模拟结果与相关文献数据做了对比,相互吻合良好。
Numerical studies are presented for two-dimensional Rayleigh-Bénard convection in a large scope of Ra number using a lattice Boltzmann method based on interpolation. In the simulation, various ratios of interpolation are adopted for corresponding Ra numbers. Numerical results such as the maximal time dependent vertical velocities of the system, steady-state streamlines and isotherms, Nu numbers as a function of Ra numbers, and the profiles of the average temperature of the horizontal sections near the walls are presented. Such results are consistent with those from previous references.