This paper presents simulations of flow past a circular cylinder within the subcritical Reynolds number (Re) range from 3900 to 2 × 105, utilizing the parameterized cumulant lattice Boltzmann model. In this study, a three-dimensional characteristic boundary condition for incompressible flow has been integrated into the lattice Boltzmann method at the outflow boundary to minimize spurious reflection. The flow field, wake statistics, hydrodynamic force, and power spectra results of Re = 3900 from the cumulant lattice Boltzmann model are exhaustively compared with the laboratory data and other numerical models. Relative to other numerical models employing turbulence closure, the cumulant lattice Boltzmann simulations demonstrate enhanced agreement with the experimental data even with relatively coarser grid resolution. The resolution-spanning feature for the cumulant lattice Boltzmann model in turbulent flows, without using explicit turbulence model, aligns with the previous benchmark case studies. The stability-preserving regularization process in the present model is analyzed. Results indicate that the influence of the regularization parameter is mitigated with improved grid resolution. A specific regularization parameter for flow around cylinder simulations is recommended. Variations in flow properties and hydrodynamic forces within the subcritical Reynolds number range of 3900 to 2 × 105 are analyzed. The results confirm that the parameterized cumulant lattice Boltzmann model can accurately simulate practical engineering flows, characterized by complex separation and recirculation, within the subcritical range. Moreover, the computational efficiency and parallel scalability are compared with other numerical methods.

中文翻译：

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使用累积格玻尔兹曼方法对流过圆柱体的流动进行数值研究

本文利用参数化累积格玻尔兹曼模型，对在 3900 至 2 × 105 的亚临界雷诺数 (Re) 范围内流经圆柱体的流动进行了模拟。在本研究中，不可压缩流的三维特征边界条件已集成到流出边界处的格子玻尔兹曼方法中，以最大限度地减少杂散反射。累积格子玻尔兹曼模型的流场、尾流统计、水动力和功率谱结果 Re = 3900 与实验室数据和其他数值模型进行了详尽的比较。相对于采用湍流闭合的其他数值模型，即使网格分辨率相对较粗，累积格子玻尔兹曼模拟也证明了与实验数据的一致性增强。湍流中累积格子玻尔兹曼模型的分辨率跨度特征，在不使用显式湍流模型的情况下，与之前的基准案例研究一致。分析了本模型中的保稳正则化过程。结果表明，随着网格分辨率的提高，正则化参数的影响得到了减轻。建议为圆柱体周围流动模拟使用特定的正则化参数。分析了 3900 至 2 × 105 亚临界雷诺数范围内的流动特性和水动力的变化。结果证实，参数化累积格子玻尔兹曼模型能够在亚临界范围内准确模拟以复杂分离和再循环为特征的实际工程流程。此外，还将计算效率和并行可扩展性与其他数值方法进行了比较。