A novel large-eddy simulation framework with consistently enforced wall models by a near-wall dynamic correction procedure

The wall modeling technique has been a critical enabler for high-fidelity simulations of turbulent wall-bounded flows at realistic Reynolds numbers. However, the robustness of the wall stress model enforcement may be compromised by inadequate near-wall resolution, excessive filtering effect, and numerical dissipation. We find that numerical dissipation (and excessive subgrid-scale dissipation) can severely influence the accuracy and robustness of the performance of wall models in large-eddy simulations (LESs), leading to significant inconsistency in near-wall LES solutions. To address the adverse effects of numerical dissipation on high-fidelity flow simulations, we develop a wall-modeled LES computational framework to consistently enforce the wall models, based on a novel dynamic correction procedure to effectively penalize the discrepancy between the LES and wall-model represented solutions. The proposed computational framework is assessed for LES solvers of various levels of dissipation through numerical experiments on channel flow and internal separating flow configurations. The results indicate that the proposed numerical method effectively improves the LES quality, enforcing a wall-model consistent LES solution and leading to improved accuracy in predicting characteristic flow behaviors. Additionally, the developed wall-modeled large-eddy simulation framework demonstrates reduced sensitivity to numerical and physical dissipation, as well as to a more consistent convergence behavior with respect to mesh refinement.