A Multi-Scale, Multi-Domain Approach for LES of High Reynolds Number Wall-Bounded Turbulent Flows

摘要

A new approach for LES of high Reynolds number wall-bounded turbulent flows is presented. The proposed method utilizes the quasi-periodicity of the near-wall turbulent structures to compute the near-wall region in a minimal flow unit at high resolution. This minimal flow unit is then repeated periodically or quasi-periodically and matched to a full-domain but coarse resolution LES in the outer layer. The proposed multi-scale, multi-domain (MSMD) approach has been implemented in LES of turbulent channel flow using a patching collocation spectral domain-decomposition method. The Nonlinear Interactions Approximation (NIA) model [1] is employed as the subgrid-scale (SGS) model. Simulations are performed at Re_r ≈ 1000, 2000, 5000 and 10,000 with a resolution of 32 × 32 × 17 in the near-wall region and 32 × 64 × 33 in the outer layer, independent of the Reynolds number. The predictions are found to be in good agreement with the law of the wall and the available experimental data. These results suggest that the MSMD approach provides a simple and computationally efficient method for accurate LES of high Reynolds number wall-bounded turbulent flows.