The article deals with an improved treatment of wall models for the simulation of turbulent flows in the framework of Immersed Wall Boundaries on Cartesian grids. The emphasis is put on the implementation in a Lattice-Boltzmann Method solver without loss of generality, since the proposed approach can be used in Navier–Stokes-based solvers in a straightforward way. The proposed improved wall model implementation relies on the combination of several key elements, namely i) the removal of grid points too close to the solid surface and ii) an original computation of wall normal velocity gradient and iii) the interpolation scheme. The new method is successfully assessed considering URANS simulations focusing on steady solutions of the Zero Pressure Gradient turbulent flat plate boundary layer and the turbulent flow around a NACA0012 airfoil at several angles of attack.

本文讨论了在笛卡尔网格上的浸入壁边界框架中模拟湍流的壁模型的改进处理。重点是在不失一般性的情况下在 Lattice-Boltzmann Method 求解器中的实现，因为所提出的方法可以直接用于基于 Navier-Stokes 的求解器。所提出的改进壁模型实现依赖于几个关键元素的组合，即 i) 去除太靠近固体表面的网格点和 ii) 壁法向速度梯度的原始计算和 iii) 插值方案。