Roe scheme with preconditioning method for large eddy simulation of compressible turbulent channel flow

Numerical investigations of fully compressible turbulent channel flows are conducted. Two different speeds of Mach numbers of 0.005 and 0.5 are separately taken into consideration to study mechanisms of compressible turbulent flows and increments of temperatures of working fluids. For computing the compressible low-speed turbulent flow efficiently, methods of Roe and preconditioning matching LES methods are adopted. In addition, usage of dual time stepping and curved linear coordinates transformation skills to stabilize transient situations and increase computing grids near the channel walls are performed. As for an assignation of initial conditions, random velocity fluctuations are imposed on the mean velocity distribution. The results show that the mean velocity distributions, root-mean-square values of fluctuating velocities and mean Reynolds stresses have good agreements with the existing results. The increments of temperatures of working fluids are remarkable for a Mach number of 0.5 and are also well consistent with the existing results.