DOI: 10.1615/TSFP7
SCALE SEPARATION FOR IMPLICIT LARGE EDDY SIMULATION
ABSTRAKT
With implicit large-eddy simulation (ILES) the truncation error of the discretization scheme acts as subgrid-scale (SGS) model for the computation of turbulent flows. Although ILES is comparably simple, numerical robust and easy to implement, a considerable challenge is the design of numerical discretization schemes resulting in a physically consistent SGS model. In this work, we consider the implicit SGS model of the adaptive central-upwind weighted-essentially-non-oscillatory scheme (WENO-CU6) (Hu, XY, Wang, Q. & Adams, NA, J. Comput. Phys., 229 (2010) 8952-8965.) by incorporating a physically-motivated scale-separation formulation. Scale separation is accomplished by a simple modification of the WENO weights. The resulting modified scheme maintains the shock-capturing capabilities of the original WENO-CU6 scheme while it is also able to reproduce the Kolmogorov range of the kinetic-energy spectrum for turbulence at the limit of infinite Reynolds number independently of grid resolution. For quasi-isentropic compressible turbulence the the pseudo-sound regime of the dilatational kinetic-energy spectrum and the non-Gaussian probability-density function of the longitudinal velocity derivative are reproduced.