Dynamic coefficient evaluation for an algebraic subgrid stress model
Article first published online: 19 SEP 2013
Copyright © 2013 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 74, Issue 3, pages 169–188, 30 January 2014
How to Cite
Bhushan, S. and Walters, D.K. (2014), Dynamic coefficient evaluation for an algebraic subgrid stress model. Int. J. Numer. Meth. Fluids, 74: 169–188. doi: 10.1002/fld.3845
- Issue published online: 12 DEC 2013
- Article first published online: 19 SEP 2013
- Manuscript Accepted: 2 SEP 2013
- Manuscript Received: 20 DEC 2011
- algebraic model;
- dynamic coefficient evaluation
Static model coefficients for an algebraic subgrid stress (SGS) model are determined using a dynamic approach, based on results from simulations of isotropic decaying turbulence. The study was motivated by the discrepancies in energy transfer predictions using the previously documented coefficients (Bhushan and Warsi, Int. J. Numer. Meth. Fluids 2005; 49: 489–519). The discrepancies are identified to be due to inconsistent filter functions used in the analytic estimates and the simulations. The study emphasizes that SGS model development should use filter functions compatible with those inherent in CFD application solvers. The dynamic approach predicts consistent model and transfer coefficients for different grid resolutions and is judged to be a reliable basis for model coefficient adjustments. The predicted Leonard's stress coefficient and associated energy transfer coefficients agree very well with the analytic estimates using a Gaussian/cutoff combination filter. This suggests that the modeling of Leonard's stress term using a truncated Taylor series expansion is robust and may not benefit significantly from dynamic modeling. Validation simulations were performed for turbulent channel flow at Reτ = 180 and 590. The dynamic approach was found to be reliable only for the lower log-layer of the Reτ = 590 case, where the scale invariance condition was satisfied. Nonetheless, in this narrow range, the model and transfer coefficients compare well with the isotropic case. The static coefficient algebraic model with new adjusted coefficients shows improved predictions compared with the previous coefficients, for both isotropic decaying turbulence and channel flow cases. Copyright © 2013 John Wiley & Sons, Ltd.