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本文利用格子Boltzmann方法对不同Ra下的Rayleigh-Benard自然对流进行了数值模拟,得到的Nu与前人的结果一致。数值结果表明,Ra=2000时,格子Boltzmann方法得到了三个静态分岔解,其中一个为非稳定解;在Ra=5×10~5时格子Boltzmann方法得到了类似于周期的振荡解。本文采用插值格子Boltzmann方法,在Ra=2000,取不同插值节点进行计算时,得到了一种非稳态解。
In this paper, we use the lattice Boltzmann method to simulate the natural convection of Rayleigh-Benard at different Ra, and the Nu obtained is consistent with the previous results. The numerical results show that the lattice Boltzmann method obtains three static bifurcation solutions when Ra = 2000, and one of them is the non-steady solution. At the Ra = 5 × 10 ~ 5, the lattice Boltzmann method obtains the oscillation solution similar to the periodic solution. In this paper, interpolation Lattice Boltzmann method, when Ra = 2000, take different interpolation nodes for calculation, we get a non-steady-state solution.