Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
On Godunov-type methods near low densities
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
Journal of Computational Physics
On the use of shock-capturing schemes for large-eddy simulation
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Implicit subgrid-scale modeling by adaptive deconvolution
Journal of Computational Physics
Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows
Journal of Computational Physics
An adaptive local deconvolution method for implicit LES
Journal of Computational Physics
On the implicit large eddy simulations of homogeneous decaying turbulence
Journal of Computational Physics
An improved reconstruction method for compressible flows with low Mach number features
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics
An adaptive central-upwind weighted essentially non-oscillatory scheme
Journal of Computational Physics
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.46 |
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, numerically 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 modeling capacity of the adaptive central-upwind weighted-essentially-non-oscillatory scheme (WENO-CU6) [X.Y. Hu, Q. Wang, N.A. Adams, An adaptive central-upwind weighted essentially non-oscillatory scheme, 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 isentropic compressible turbulence the pseudo-sound regime of the dilatational kinetic-energy spectrum and the non-Gaussian probability-density function of the longitudinal velocity derivative are reproduced.