论文标题
使用晶格玻尔兹曼方法对盖子驱动的矩形腔的流量模拟
Flow Simulation of Lid-Driven Rectangular Cavity by Using Lattice Boltzmann Method
论文作者
论文摘要
已经对方形腔中的壁驱动流进行了广泛的研究，但是在实践问题中发生的矩形腔流量更常见，并且尚未对矩形腔的某些流动特性进行全面研究。作为有前途的数值模拟工具，使用晶格玻尔兹曼方法（LBM）来模拟本文二维矩形腔中的盖子驱动流动。首先，对标准方形腔，速度曲线，流函数值以及在不同RE处的主要和第二涡度的中心位置进行了验证，并与先前的研究进行了比较。然后，对矩形腔的涡流动力学进行了模拟和讨论，并以4000-8000范围的雷诺数（RE）进行了讨论，垂直轴比（AR）从0.4到2.0变化，并且在矩形腔内绘制了主涡流的流线和中心迁移。最后，详细分析并详细分析并详细分析了矩形腔中稳定，周期性，周期性和不稳定现象，由LBM，RE和AR产生，在盖子驱动的矩形腔流量的状态过渡中起着重要作用，并详细分析并详细分析。通过500倍（500*ar）网格的LBM数值模拟，我们发现，矩形腔中的流量状态从稳定状态，周期性状态，周期性且不稳定状态单调变化，而RE的增加，而固定型的流动状态则具有固定的RE，具有固定的Re ver nationally Monnotony and Monnotiny and Ar an ar an ar ar ar an ar ar an ar ar an ar an ar ar an ar an ar ar an ar ar an ar ar an an ar ar ar an ar ar an ar ar an ar ar an ar ar a ar a ar an ar a ar an ar a a an a an a an re avee。另外，周期状态的周期长度随AR和RE的变化而变化。
Wall-driven flow in square cavity has been studied extensively, yet it is more frequently for the rectangular cavity flow occurring in practical problems, and some flow characteristics about rectangular cavity have not been fully investigated. As a promising numerical simulation tool, the Lattice Boltzmann Method (LBM) is employed to simulate the lid-driven flow in a two-dimensional rectangular cavity in this paper. First, the code is validated for the standard square cavity, the velocity profiles, stream function values and center positions of the primary and second vortexes at different Re are presented and compared with previous researches. Then, the eddy dynamics of rectangular cavities is simulated and discussed with Reynolds number (Re) in the range of 4000-8000 and vertical to horizontal axis ratio (Ar) varied from 0.4 to 2.0, and the streamline and center migration of the primary vortex are drawn realistically for rectangular cavity. In the end, the steady, periodic, aperiodic and unstable phenomenon in the rectangular cavity is produced by LBM, Re and Ar which play the significant role in the state transition of lid-driven rectangular cavity flow are analyzed and summarized in detail. By the LBM numerical simulation with 500x(500*Ar) grid, we have discovered that the flow state in the rectangular cavity with a fixed Ar changes monotonically from stable state, periodic state to aperiodic and unstable state with the increase of Re, while the flow state in the rectangular cavity with a fixed Re varies non-monotonically with the increase of Ar. Additionally, the cycle length of periodic states varies with the change of Ar and Re.
