基于浸入边界–格子Boltzmann方法模拟动边界绕流问题
Simulation of the Flow around a Moving Boundary Based on the Immersed Boundary Combined Lattice Boltzmann Method
DOI: 10.12677/IJFD.2018.63006, PDF,    国家自然科学基金支持
作者: 王文全*, 王志良：昆明理工大学工程力学系，云南 昆明；陈相臻：天津大学机械工程学院，天津
关键词: 格子Boltzmann方法；浸入边界法；分步投影法；动边界；圆柱绕流；Lattice Boltzmann Method； Immersed Boundary Method； Fractional Projected Method； Moving Boundary； Flowing Around Cylinder
摘要: 组合浸入边界和格子Boltzmann方法(IB-LBM)实现对复杂动边界问题的数值模拟。通过格子Boltzmann方法快速计算流场分布(采用D2Q9离散速度模型)，通过隐式直接力浸入边界法处理流场边界问题。借助求解不可压缩N-S方程组的分步投影方法的思想，在时间上推进求解基于浸入边界法的耦合系统方程，从而实现对复杂动边界流动问题快速有效的求解。以雷诺数为100的圆柱绕流为基准算例，分别计算圆柱在不同旋转角速度下的升、阻力曲线和流场分布特性，并与其他文献的计算结果对比，验证了IB-LBM计算动边界流动问题的有效性。
Abstract: The main content of this paper is to use the immersed boundary combined lattice Boltzmann me-thod (IB-LBM) to simulate the moving boundary problem. By Lattice Boltzmann method, the flow field is simulated using D2Q9 model, and the movement boundary is treated by the implicit direct force method of the immersed boundary method, which is solved using the projection step method. Finally, a flow around a rotating cylinder with Reynolds number of 100 at different angular velocity as a benchmark example has been simulated, and the lift and drag coefficient as well as flow field distribution has been investigated and compared with the results of other literature. It is also verified that the immersed boundary combined lattice Boltzmann method is valid and robust to simulate movement boundary flowing problems.
文章引用：王文全, 陈相臻, 王志良. 基于浸入边界–格子Boltzmann方法模拟动边界绕流问题[J]. 流体动力学, 2018, 6(3): 45-52. https://doi.org/10.12677/IJFD.2018.63006

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