A wall-layer model is proposed for large eddy simulation of high Reynolds number turbulent flows in conjunction with immersed boundaries. The model is based on two main steps: the reconstruction of the velocity field at the first grid point off the immersed body and the modelization of the actual wall shear stress at the immersed boundary through imposition of a Reynolds averaged Navier–Stokes-like eddy viscosity obtained by means of analytical considerations. The model is tested in a turbulent plane channel flow with walls reproduced by immersed boundaries considering both Cartesian and curvilinear grids. Even with coarse and distorted grids the proposed methodology is able to reproduce accurately both first- and second-order turbulent statistics.

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The symbol + denotes quantities made nondimensional with lτ=ν/uτ with uτ=τw/ρ, τw is the wall shear stress, and ρ is the fluid density. dIB+ and dPP+ are, respectively, the distances of the IB node and the PP point from the wall, scaled with lτ.
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