The effect of lattice models within the lattice Boltzmann method in the simulation of wall-bounded turbulent flows
The effect of lattice models within the lattice Boltzmann method in the simulation of wall-bounded turbulent flows
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DOI：
10.1016/j.jcp.2012.07.023
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Shin K. Kang;Y. Hassan
中科院分区：
文献类型：
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作者：
Shin K. Kang;Y. Hassan
本研究研究了 3D 晶格模型（D3Q19 和 D3Q27 晶格）对圆形管道和方形管道中壁面湍流模拟结果的影响。采用带有 Smagorinsky 亚网格尺度 (SGS) 模型的 LES 进行湍流模拟。为了提高晶格模型效应结果的可信度，对边界处理技术和碰撞模型以及湍流管流模拟中的网格尺寸进行了全面的敏感性研究。通过湍流环管流模拟发现，D3Q27晶格模型可以实现长时间平均湍流统计方面的旋转不变性，并生成与DNS数据相当的结果，而D3Q19晶格模型则打破了旋转不变性，产生了不合理的数据。在湍流方管流模拟中，通过比较几何体绕中心旋转 45° 前后的结果来评估旋转不变性。在圆管流模拟中，D3Q19晶格模型无法实现旋转不变性，而D3Q27晶格模型可以。与 D3Q27 晶格模型相比，D3Q19 晶格模型的结果也较差。基于White和Chong的[14]假设，D3Q19晶格模型的这些缺陷可以通过D3Q19晶格模型中由具有五种速度的二维晶格组成的平面（在本研究中称为缺陷平面）来解释。有缺陷的平面在流动和湍流的动量传递方面存在缺陷，从而破坏了旋转不变性并导致测试问题的结果不准确。
This study investigated the effect of 3D lattice models (D3Q19 and D3Q27 lattices) on the simulation results of wall-bounded turbulent flows in a circular pipe and in a square duct. The LES with the Smagorinsky subgrid-scale (SGS) model was adopted for the turbulence simulation. To improve the credibility of our results on the lattice model effect, a comprehensive sensitivity study was performed of boundary treatment techniques and collision models, as well as grid sizes in the simulation of the turbulent pipe flows. Through the turbulent circular pipe flow simulation, it was discovered that the D3Q27 lattice model could achieve the rotational invariance in terms of long-time-averaged turbulence statistics and generated the results comparable to the DNS data, while the D3Q19 lattice model broke the rotational invariance and produced unreasonable data. In the turbulent square duct flow simulation, the rotational invariance was evaluated by comparing the results before and after rotating the geometry by 45° about a center. As in the circular pipe flow simulation, the D3Q19 lattice model could not achieve the rotational invariance while the D3Q27 lattice model could. The D3Q19 lattice model also produced poor results compared to those from the D3Q27 lattice model. These defects of the D3Q19 lattice model could be explained by the planes consisting of 2D lattices with five velocities (called defective planes in this study) in the D3Q19 lattice model, based on White and Chong’s [14] hypothesis. The defective planes had a deficiency in the momentum transfer of flow and turbulence, thus breaking the rotational invariance and causing the inaccurate results for tested problems.