Large Eddy Simulation of Spanwise Rotating Turbulent Channel Flow with Subgrid-Scale Eddy Viscosity Model Based on Helicity

Abstract

Fully developed rotating turbulent channel flow (RTCF) has been numerically investigated using large-eddy simulation (LES). The subgrid-scale (SGS) eddy viscosity model is based on the SGS helicity dissipation balance and the spectral relative helicity. Posterior test has been implemented to RTCF with rotation in spanwise direction. The friction Reynolds number $Re_\tau=u_\tau\delta/\ u$ based on wall shear velocity $u_\tau$, half width of the channel $\delta$ and the kinematic viscosity $\ u$ is 180. Two rotation numbers $Ro_\tau=2\Omega\delta/u_\tau$ equal to 22 and 80 have been computed with respective grid resolution. The results from dynamic Smagorinsky model (DSM) and direct numerical simulation (DNS) are used as references. The results demonstrate that the eddy viscosity model can predict both the precise velocity profile and the turbulent intensity.