Title: On the use of high-order finite-difference discretization for LES with double decomposition of the subgrid-scale stresses
Authors: Meyers, Johan ×
Lacor, C
Baelmans, Martine #
Issue Date: 2008
Publisher: John Wiley & Sons LTD
Series Title: International Journal for Numerical Methods in Fluids vol:56 issue:4 pages:383-400
Abstract: Large eddy simulation (LES) with additional filtering of the non-linear term, also coined LES with double decomposition of the subgrid-scale stress, is considered. In the literature, this approach is mainly encountered in combination with pseudo-spectral discretization methods. In this case, the additional filter is a sharp cut-off filter, which appears in the eventual computational algorithm as the 2/3-dealiasing procedure. In the present paper, the LES approach with additional filtering of the non-linear term is evaluated in a spatial, finite-difference discretization approach. The sharp cut-off filter used in pseudo-spectral methods is then replaced by a spectral-like filter, which is formulated and discretized in physical space. As suggested in the literature, the filter width of this spectral-like filter corresponds at least to 3/2 times the grid spacing h to avoid aliasing. Furthermore, spectral-like discretization of the derivatives are constructed such that derivative-discretization errors are low in the wavenumber range resolved by the filter, i.e. 0kh2/3. The resulting method in combination with a Smagorinsky model is tested for decaying homogeneous isotropic turbulence and compared to standard lower-order discretization methods. Further, an analysis is elaborated of the Galilean-invariance problem, which arises when LES in double decomposition approach is combined with filters, which do not correspond to an orthogonal projection. The effects of a Galilean coordinate transformation on LES results, are identified in simulations, and we demonstrate that a Galilean transformation leads to wavenumber-dependent shifts of the energy spectra. Copyright © 2007 John Wiley & Sons, Ltd.
ISSN: 0271-2091
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Applied Mechanics and Energy Conversion Section
× corresponding author
# (joint) last author

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