A wall model for high-fidelity large-eddy simulation

We present a novel wall model for well resolved large-eddy simulation (LES) of complex flows. The model is based on a Taylor series expansion of the velocity and pressure profiles in wall-normal direc- tion. The derivatives are determined from the near- wall asymptotics of the Navier-Stokes equations. We take a cubic polynomial for the velocity profile and a linear function for the pressure profile and impose a collocation constraint at a fluid point normal to the wall. This results in an evolution equation for the wall shear stress. The accuracy of the wall model is assessed with both an a-priori and an a-posteriori approach for the oscillatory Stokes boundary layer and a Falkner-Skan boundary layer. Finally, we apply the model for a LES of turbulent channel flow.     «

We present a novel wall model for well resolved large-eddy simulation (LES) of complex flows. The model is based on a Taylor series expansion of the velocity and pressure profiles in wall-normal direc- tion. The derivatives are determined from the near- wall asymptotics of the Navier-Stokes equations. We take a cubic polynomial for the velocity profile and a linear function for the pressure profile and impose a collocation constraint at a fluid point normal to the wall. This results in...     »