Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks

We develop a tuned center-difference (TCD) scheme optimized for large-eddy simulations (LES) using a method proposed by Ghosal. For LES of weakly compressible decaying turbulence, these optimized stencils are shown to provide superior performance when compared to higher-order centered schemes with t...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational physics 2004-03, Vol.194 (2), p.435-450
Main Authors: Hill, D.J, Pullin, D.I
Format: Article
Language:English
Subjects:
Center difference
Compressible turbulence
Computational techniques
Exact sciences and technology
Hybrid methods
LES
Mathematical methods in physics
Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We develop a tuned center-difference (TCD) scheme optimized for large-eddy simulations (LES) using a method proposed by Ghosal. For LES of weakly compressible decaying turbulence, these optimized stencils are shown to provide superior performance when compared to higher-order centered schemes with the same stencil width. A hybrid method combining the TCD stencil with a weighted essentially non-oscillatory (WENO) method is then constructed for use in the LES of strongly compressible, shock-driven flows. The user-specified, optimum WENO weights are chosen to match those of the TCD scheme. It is expected that these weights will be achieved automatically in regions of smooth flow away from shocks, but in practice a switch is found to be necessary. The hybrid TCD–WENO scheme is shown to work well for unsteady gas-dynamic flows in one and two dimensions.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2003.07.032