Title
Lattice-Boltzmann hydrodynamics of single-square-grid generated turbulence - a partial entropic stabilisation approach
Abstract
Under-resolved direct numerical simulations of turbulence in the wake of a single-square-grid (SSG) are conducted using the lattice-Boltzmann method (LBM), with varying degrees of partial moment entropic stabilisation. Turbulence statistics along the grid centreline show satisfactory agreement with literature, greatly outperforming a control study employing the single-relaxation-time Smagorinsky LES model with equivalent resolution. The coarse-resolution entropic LBM simulations are able to capture the qualitative behaviour of the anisotropic and non-homogeneous​ turbulence generated by the SSG, indicating possible extension of the capability of the entropic lattice-Boltzmann method to simulate more exotic forms of turbulence beyond those reported by the majority of current studies. However, in the extreme near field of the single-square-grid, pseudo-compressibility effects, even at a low lattice Mach number, undermine LBM predictions for turbulence which is generated by action of the pressure Hessian — this is found to be an issue for all models studied, and not a numerical artefact of the entropic stabilisation. With regard to the action of the entropic stabiliser, a comparison of models employing differing degrees of stabilisation on higher-order natural moments suggest that the trace of the stress tensor should not be subject to entropic control for better accuracy in turbulence prediction.
Year
DOI
Venue
2020
10.1016/j.camwa.2020.06.013
Computers & Mathematics with Applications
Keywords
DocType
Volume
Lattice-Boltzmann method,Partial entropic stabilisation,Large-eddy simulation,Turbulence,Space-filling grid,Single square grid
Journal
80
Issue
ISSN
Citations 
5
0898-1221
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Chin Vern Yeoh100.34
E. H. Ooi21710.03
Ji Jinn Foo300.68