Physics of Fluids
Feedback | Help | Exit
Search:
   
 
 
 
Previous Article
A unified probability density function formulation to model turbulence modification in two-phase flow
In the present study, a unified probability density function formulation for capturing the phenomena of turbulence modification of the continuous phase due to the dispersed phase turbulence is present...
Next Article
Fluid-acoustic interactions in self-sustained oscillations in turbulent cavity flows. I. Fluid-dynamic oscillations
The fluid-acoustic interactions in a flow over a two-dimensional rectangular cavity are investigated by directly solving the compressible Navier–Stokes equations. The upstream boundary layer is ...

A multiscale subgrid model for both free vortex flows and wall-bounded flows

Phys. Fluids 21, 105102 (2009); doi:10.1063/1.3241991

Published 15 October 2009

You are not logged in to this journal. Log in

L. Bricteux, M. Duponcheel, and G. Winckelmans
Department of Mechanical Engineering, Louvain School of Engineering (EPL), and Center for Systems Engineering and Applied Mechanics (CESAME), Université Catholique de Louvain (UCL), 1348 Louvain-la-Neuve, Belgium
A new subgrid-scale (SGS) model which has an adequate behavior in both vortical flows and wall-bounded flows is proposed. In wall-bounded flows with “wall-resolved” large eddy simulation (LES), the theory predicts that the SGS dissipation should vanish as y+3 near the wall. In free vortex flows, one needs to have models which do not dissipate energy in the strongly vortical and essentially laminar part of the flow, e.g., in the vortex core regions. The wall adapting local eddy (WALE) viscosity model of Nicoud and Ducros [Flow, Turbul. Combust. 62, 183 (1999)] has the correct near-wall behavior. It is, however, demonstrated here that it produces values of effective eddy viscosity which are too high in vortical flows: this constitutes a major drawback for LES of vortex flows. On the other hand, the regularized variational multiscale models are suitable to simulate vortical flows as demonstrated by Cocle et al. [Complex Effects in LES (Springer, New York, 2007), p. 56], but they do not have a correct behavior in wall-bounded flows as shown by Jeanmart and Winckelmans [Phys. Fluids 19, 055110 (2007)]. The model presented here aims at combining the strengths of the two models: it is a multiscale model, thus acting on the high pass filtered LES field, and for which the SGS viscosity is evaluated using the WALE model, itself also computed using the high pass filtered field. Hence, this model is only active when there is locally a significant high wavenumber content in the flow and it has a natural near-wall damping behavior. The ability of this model to simulate vortex and wall-bounded flows is demonstrated on three test cases. The first case is the turbulent channel flow at Retau=395 and Retau=590. The second test concerns a counter-rotating four-vortex system at ReGamma=20 000. The third case concerns a two-vortex system in ground effect at ReGamma=20 000. It is shown that the model allows to perform successfully the LES of these flows with the proper dissipative behavior in both the near-wall and the vortical regions. ©2009 American Institute of Physics
History: Received 9 April 2009; accepted 29 August 2009; published 15 October 2009
Permalink: http://link.aip.org/link/?PHFLE6/21/105102/1
BUY THIS ARTICLE   (US$24)
Download PDF (838 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 47.32.Ef
    Rotating and swirling flows
  • 47.27.nd
    Turbulent channel flow
  • 47.60.Dx
    Flows in ducts and channels
  • 47.27.ep
    Large-eddy turbulence simulations
  • YEAR: 2009

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
1070-6631 (print)   1089-7666 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (24)
View in Separate Window/Tab
For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. F. Nicoud and F. Ducros, “Subgrid-scale stress modelling based on the square of the velocity gradient tensor,” Flow, Turbul. Combust. 62, 183 (1999).
  2. T. J. R. Hughes, L. Mazzei, A. A. Oberai, and A. A. Wray, “The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence,” Phys. Fluids 13, 505 (2001).
  3. T. J. R. Hughes, G. Scovazzi, and L. P. Franca, in Multiscale and Stabilized Method, Encyclopedia of Computational Mechanics Vol. 3, edited by E. Stein, R. de Borst, and T. J. R. Hughes (Wiley, New York, 2004), Chap. 2.
  4. G. Winckelmans and H. Jeanmart, in Direct and Large-Eddy Simulation IV, ERCOFTAC Series Vol. 8, edited by B. J. Geurts, R. Friedrich, and O. Métais (Kluwer, Dordrecht, 2001), pp. 55–66.
  5. H. Jeanmart and G. Winckelmans, “Investigation of eddy-viscosity models modified using discrete filters: A simplified `regularized variational multiscale model' and an `enhanced field model',” Phys. Fluids 19, 055110 (2007).
  6. A. W. Vreman, “The filtering analog of the variational multiscale method in large-eddy simulation,” Phys. Fluids 15, L61 (2003).
  7. S. Stolz, P. Schlatter, D. Meyer, and L. Kleiser, in Direct and Large-Eddy Simulation V, edited by R. Friedrich, B. J. Geurts, and O. Métais (Kluwer, Dordrecht, 2004), pp. 81–88.
  8. S. Stolz, P. Schlatter, and L. Kleiser, “High-pass filtered eddy-viscosity models for large-eddy simulations of transitional and turbulent flow,” Phys. Fluids 17, 065103 (2005).
  9. R. Cocle, L. Dufresne, and G. Winckelmans, in Complex Effects in Large Eddy Simulations, Lecture Notes in Computational Science and Engineering Vol. 56 edited by S. C. Kassinos, C. A. Langer, G. Iaccarino, and P. Moin (Springer, Berlin, 2007), pp. 141–159.
  10. R. Cocle, L. Bricteux, and G. Winckelmans, in Quality and Reliability of Large-Eddy Simulations, ERCOFTAC Series Vol. 12, edited by J. Meyers, B. J. Geurts, and P. Sagaut (Springer, Berlin, 2008), pp. 61–68.
  11. R. Cocle, L. Bricteux, and G. Winckelmans, “Scale dependence and asymptotic very high Reynolds number spectral behavior of multiscale subgrid models,” Phys. Fluids 21, 085101 (2009).
  12. P. Sagaut and M. Ciardi, “A finite-volume variational multiscale method coupled with a discrete interpolation filter for large-eddy simulation of isotropic turbulence and fully developed channel flow,” Phys. Fluids 18, 115101 (2006).
  13. H. Ouvrard, B. Koobus, A. Dervieux, L. Camarri, and M. V. Salvetti, Direct and Large-Eddy Simulation VII, in edited by V. Armenio, B. J. Geurts, J. Frölich, O. Métais, and K. R. Sreenivasan (Springer, New York, 2008).
  14. U. Piomelli, T. A. Zang, C. G. Speziale, and M. Y. Hussaini, “On the large-eddy simulation of transitional wall-bounded flows,” Phys. Fluids A 2, 257 (1990).
  15. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, “A dynamic subgrid-scale eddy viscosity model,” Phys. Fluids A 3, 1760 (1991).
  16. L. Bricteux, M. Duponcheel, and G. Winckelmans, in Direct and Large-Eddy Simulation VII, edited by V. Armenio, B. J. Geurts, J. Frölich, O. Métais, and K. R. Sreenivasan (Springer, New York, 2008).
  17. P. Sagaut, Large-Eddy Simulation for Incompressible Flows: An Introduction, 3rd ed. (Springer, New York, 2006).
  18. J. Smagorinsky, “General circulation experiments with the primitive equations, i) the basic experiments,” Mon. Weather Rev. 91, 99 (1963).
  19. D. K. Lilly, “On the application of the eddy viscosity concept in the inertial subrange of turbulence,” NCAR Technical Report No. 123, 1966.
  20. D. K. Lilly, “The representation of small-scale turbulence in numerical simulation experiments,” in Proceedings of the IBM Scientific Symposium on Environmental Sciences, IBM DP Division, Yorktown Heights, NY, 1967, pp. 195–210.
  21. M. J. Lee, B. D. Oh, and Y. B. Kim, “Canonical fractional-step methods and consistent boundary conditions for the incompressible Navier–Stokes equations,” J. Comput. Phys. 168, 73 (2001).
  22. O. V. Vasilyev, “High order finite difference schemes on non-uniform meshes with good conservation properties,” J. Comput. Phys. 157, 746 (2000).
  23. R. D. Moser, J. Kim, and N. N. Mansour, “Direct numerical simulation of turbulent channel flow up to Retau=590,” Phys. Fluids 11, 943 (1999).
  24. L. Jacquin, D. Fabre, D. Sipp, V. Theofilis, and H. Vollmers, “Instability and unsteadiness of aircraft wake vortices,” Aerosp. Sci. Technol. 7, 577 (2003).

CITING ARTICLES
For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.


Copyright © American Institute of Physics