Numerical simulation of confined flows past obstacles - the comparative study of Lattice Boltzmann and Spectral Element Methods
Numerical simulation of confined flows past obstacles - the comparative study of Lattice Boltzmann and Spectral Element Methods
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DOI：
10.24423/aom.622
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发表时间：
2012-08
影响因子：
0.8
通讯作者：
Wojciech Regulski;J. Szumbarski
中科院分区：
文献类型：
--
作者：
Wojciech Regulski;J. Szumbarski
本文介绍了格子Boltzmann方法(LBM)，该方法最近成为模拟牛顿流体流动的另一种高效的计算工具，特别是在复杂的几何形状中。为了评估LBM网格加密对模拟结果的影响，用LBM进行了一系列基准二维模拟并进行了分析。所考虑的情况包括定常的和随时间变化的流动，它们绕过圆形或45度旋转的方形柱体，这些柱体被限制在具有平行壁面的通道中。然后，用谱元素法(SEM)研究了相同的流动形态，并用得到的结果对两种方法进行了交叉验证。在LBM模拟中，对障碍物形状表示的分辨率的敏感性是主要感兴趣的。还特别注意了流动的可压缩性的影响。此外，还对非定常流动的非定常流动特性进行了详细的比较：给出了LBM和扫描电子显微镜的速度分布，以及比较的von Karman涡街的Strouhal数等无量纲特征。
This paper concerns the Lattice Boltzmann Method (LBM) which has recently become alternative, computationally efficient tool to simulate a Newtonian fluid flow, especially in complex geometries. A series of benchmark two-dimensional simulations with the LBM are presented and analyzed in order to assess the impact of the LBM grid refinement on the results of the simulations. The considered cases include stationary and time-dependent flows past a circular or a 45-degree rotated square cylinder confined in the channel with parallel walls. Next, the same flow configurations are investigated by means of the Spectral Element Method (SEM) and obtained results are used to cross-validate both approaches. The sensitivity to the resolution of representation of the obstacle’s shape in the LBM simulations is of the main interest. Particular attention is paid also to the effects of compressibility of the flow. Additionally, for unsteady flows the transient flow characteristics are compared in detail: the velocity profiles from the LBM and SEM are presented and some non-dimensional characteristics such as Strouhal number of the compared von Karman vortex streets.