The Lattice Boltzmann Method (LBM) was implemented to simulate the two-dimensional (2-D) Rayleigh–Taylor instability (RTI) during the mixing of the immiscible fluids. Two important parameters of the density and the viscosity as represented respectively by the Atwood and the Reynolds numbers were considered. In the calculation the density of two immiscible fluids was calculated by using the equation of state (EOS). In the present simulations, both Atwood and Reynolds numbers were varied in order to investigate the time variations of the interfacial behavior during RTI, the position of bubbles and spikes, and the horizontal average density. The results indicate that the Atwood number has a higher effect than the Reynolds number in the mixing process during RTI. The bubbles and spikes positions go farther in the displacement with the increase of both Reynolds and Atwood numbers. Moreover, the increase of both Reynolds and Atwood numbers accelerate the mixing process during RTI.

格子玻尔兹曼方法（LBM）用于模拟在不混溶流体混合过程中的二维（2-D）瑞利-泰勒不稳定性（RTI）。考虑了分别由阿特伍德和雷诺数代表的密度和粘度的两个重要参数。在计算中，使用状态方程（EOS）计算了两种不混溶流体的密度。在当前的模拟中，Atwood和Reynolds数均发生变化，以研究RTI期间界面行为的时间变化，气泡和尖峰的位置以及水平平均密度。结果表明，在RTI过程中，阿特伍德数比雷诺数具有更高的作用。随着雷诺数和阿特伍德数的增加，气泡和尖峰的位置在位移中更远。而且，雷诺数和阿特伍德数的增加都加速了RTI期间的混合过程。