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Turbulent channel flow simulations using the lattice Boltzmann method with near-wall modeling on a non-body-fitted Cartesian grid

机译:湍流通道流量模拟使用近壁型胶囊网格上的近墙造型的晶格Boltzmann方法

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摘要

A novel near-wall modeling for large-eddy simulation based on the lattice Boltzmann method is proposed. An existing near-wall modeling based on the reconstruction of distribution functions is further developed to calculate high Reynolds number wall-bounded turbulent flow on a non-body-fitted Cartesian grid. The following three ideas are introduced into the existing reconstruction model: (1) the introduction of an image-point, (2) blending of sub-grid scale and Reynolds-averaged Navier-Stokes eddy viscosity considering the Reynolds shear stress resolved on a computational grid, and (3) modifications of velocity and eddy viscosity profiles near a wall. For the validation of the proposed model, numerical simulations of a turbulent channel flow on a non-body-fitted Cartesian grid are performed. Three different cases of the angles between the Cartesian grid line and the wall boundary are calculated, and the calculation results are compared with the results of direct numerical simulation or a semi-analytical profile in terms of streamwise velocity, resolved Reynolds shear, and normal stress profiles. The proposed model is robust and accurate, yielding highly satisfactory results regardless of the angles between the Cartesian grid line and the wall boundary.
机译:用于基于所述格子Boltzmann方法大涡模拟一种新颖的近壁建模算法。现有的近壁基于分布函数的重构建模是进一步发展,以计算高雷诺数有界壁的紊流在非贴体笛卡尔网格流动。以下三个观点被引入到现有的重建模型:(1)引入的图像点的,(2)混合次网格的规模和雷诺平均纳维 - 斯托克斯涡粘度考虑在计算雷诺数剪切应力解析网格,和速度以及涡粘度曲线附近的一个壁(3)的修改。对于所提出的模型的验证,在非贴体笛卡尔网格一个槽道湍流的数值模拟进行的。笛卡尔网格线和所述壁边界之间的角度的三个不同的情况下进行计算,并且将计算结果与直接模拟或在流向速度方面具有半解析曲线的结果进行了比较,已解决雷诺兹剪切,和正应力配置文件。该模型是鲁棒和准确的,从而得到很满意的结果,无论笛卡尔网格线和所述壁边界之间的角。

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