The work presented in this paper investigates the efficiency of various (i.e., \(D_{3}Q_{15}\), \(D_{3}Q_{19}\), and \(D_{3}Q_{27}\)) three-dimensional discrete velocity models of lattice Boltzmann method (LBM) for the simulation of turbulent flow past over a bluff body. The numerical setup consists of a square cylinder confined in a rectangular duct. Large eddy simulation (LES) model has been used for the simulation of turbulent eddies. The small-scale turbulent structures were resolved by using the conventional Smagorinsky subgrid-scale (SGS) model. The computations have been carried out on a uniform Cartesian grid. The results for different turbulent statistics have presented and compared with the available experimental and previous numerical (based on finite volume approach) results for Reynolds number \(Re_{d} = 3000\). The algorithm developed for the present simulation has been parallelized to run on Graphical Processing Unit (GPU) parallel platform.

本文介绍的工作研究了各种（例如\（D_ {3} Q_ {15} \），\（D_ {3} Q_ {19} \）和\（D_ {3} Q_ {27 } \））格子Boltzmann方法（LBM）的三维离散速度模型，用于模拟在钝体上流过的湍流。数值设置由限制在矩形管道中的方形圆柱体组成。大涡模拟（LES）模型已用于湍流涡的模拟。通过使用常规的Smagorinsky次网格规模（SGS）模型来解析小规模的湍流结构。计算是在统一的笛卡尔网格上进行的。给出了不同湍流统计的结果，并将其与雷诺数\（Re_ {d} = 3000 \）的可用实验和先前数值（基于有限体积方法）的结果进行了比较。。为当前仿真开发的算法已被并行化以在图形处理单元（GPU）并行平台上运行。