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.

提出了一种新的基于格子玻尔兹曼方法的大涡模拟近壁建模方法。进一步发展了基于分布函数重构的现有近壁模型，以计算非人体笛卡尔网格上高雷诺数的壁面湍流。现有的重建模型引入了以下三个思想：（1）引入图像点；（2）考虑了雷诺剪切应力，在计算上解析了亚网格比例和雷诺平均Navier-Stokes涡粘度的混合（3）修改壁附近的速度和涡流粘度曲线。为了验证所提出的模型，对非人体笛卡尔网格上的湍流通道流动进行了数值模拟。计算了笛卡尔网格线和墙边界之间的角度的三种不同情况，并将计算结果与直接数值模拟或半解析轮廓的结果进行了比较，分别涉及流向速度，解析雷诺剪切力和法向应力个人资料。所提出的模型是鲁棒且准确的，无论笛卡尔网格线和墙边界之间的角度如何，都能产生令人满意的结果。