Investigation on wall modeled large eddy simulation of channel turbulent flow in high Reynolds number

The numerical simulation of plane channel flow was performed with various turbulent models, which were employed for wall modeled large eddy simulation. Large eddy simulation (LES), Spalart-Allmaras (S-A), detached eddy simulation (DES) and a dynamic hybrid model (Hybrid) were investigated. Using the Reynolds numbers ranging from 395 to 12 000 based on friction velocity, three kinds of coarse grid were used, the grid numbers of wall-parallel directions were set as 37, 49 and 65, simultaneously. y⁺(1)~1 was maintained in wall-normal direction. Mean velocity profile, Reynolds-shear stress and other turbulent statistics were predicted. It was shown that LES cannot provide accurate solutions at high Reynolds number and coarse grid conditions. Log layer mismatch was still a problem of DES. The simulation of Hybrid agreed well with direct numerical simulation (DNS), and the resolved stress accounted for 93% in log layer and about 99% in outer layer. Therefore, proper hybrid model may provide accurate solutions with cost effectiveness and has potential to solve engineering problem.