On the Finite Difference-Based Lattice Boltzmann Method in Curvilinear Coordinates
On the Finite Difference-Based Lattice Boltzmann Method in Curvilinear Coordinates
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DOI：
10.1006/jcph.1998.5984
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发表时间：
1998-07
影响因子：
4.1
通讯作者：
R. Mei;W. Shyy
中科院分区：
文献类型：
--
作者：
R. Mei;W. Shyy
格子Boltzmann方法是一种基于微观的方法，用于解决宏观尺度上的流体流动问题。目前流行的方法使用规则间隔的网格，并且不能以期望的灵活性处理弯曲边界。为了避免这些困难，有限差分格子玻尔兹曼方法（FDLBM）在曲线坐标系下，采用贴体坐标与非均匀网格进行了探索。几个测试用例，包括脉冲启动圆柱Couette流，稳态圆柱Couette流，平板上的稳定流，和圆柱上的稳定流，被用来检查与FDLBM相关的各种问题。研究了分布函数边界条件对解的影响、平流项二阶中心差分格式和迎风格式的优点以及雷诺数的影响。曲线坐标系下的FDLBM方法得到了较好的结果，表明该方法有潜力解决复杂几何条件下的有限雷诺数流动问题。
The lattice Boltzmann method is a microscopic-based approach for solving the fluid flow problems at the macroscopic scales. The presently popular method uses regularly spaced lattices and cannot handle curved boundaries with desirable flexibility. To circumvent such difficulties, a finite difference-based lattice Boltzmann method (FDLBM) in curvilinear coordinates is explored using body-fitted coordinates with non-uniform grids. Several test cases, including the impulsively started cylindrical Couette flow, steady state cylindrical Couette flow, steady flow over flat plates, and steady flow over a circular cylinder, are used to examine various issues related to the FDLBM. The effect of boundary conditions for the distribution functions on the solution, the merits between second-order central difference and upwind schemes for advection terms, and the effect of the Reynolds number are investigated. Favorable results are obtained using FDLBM in curvilinear coordinates, indicating that the method is potentially capable of solving finite Reynolds number flow problems in complex geometries.