Dynamic slip wall model for large-eddy simulation

Wall models are necessary to overcome the limitation of subgrid scale models in the near-wall region. The use of the slip boundary condition with transpiration for wall-modeled large-eddy simulation is motivated by theoretic assessment and a priori testing using direct numerical simulation (DNS) data. A dynamic slip wall model based on the invariance of wall stress under test filtering is proposed. The dynamic wall-stress-invariant model is free of any a priori specified coefficients, unlike traditional wall models which are based on RANS models. The performance of the model is tested for channel flows up to Re_τ = 8000, and spatially evolving boundary layers up to Re_θ = 10,000 for various grid resolutions. Predictions of the mean velocity profile and turbulence intensities are in good agreement with DNS and experimental data.