Skip to main content
SpringerLink
Log in

Towards a Renormalized Lattice Boltzmann Equation for Fluid Turbulence

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

A coarse-grained Lattice Boltzmann equation is examined in which the effects of unresolved (subgrid) scales are formally incorporated within a renormalized relaxation time of the collision operator. Actual values of the renormalized relaxation time are analyzed for the practical case of high-Reynolds flows past slant bodies (airfoils).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. R. Benzi, S. Succi, and M. Vergassola, Phys. Rep. 222:14–197 (1992).

    Google Scholar 

  2. S. Chen and G. D. Doolen, Ann. Rev. of Fluid Mech. 30:329 (1998).

    Google Scholar 

  3. S. Succi, The Lattice Boltzmann Equation (Oxford University Press, 2001).

  4. H. Chen, C. Teixeira, and K. Molvig, Int. J. Mod. Phys C 8:675 (1997).

    Google Scholar 

  5. O. Filippova and D. Hänel, J. Comp. Phys. 147:21–238 (1998).

    Google Scholar 

  6. H. Chen, S. Succi, and S. Orszag, Phys. Rev. E 59(3):R2527 (1999).

    Google Scholar 

  7. F. Mazzocco, W. Arrighetti, G. Bella, L. Spagnoli, and S. Succi, Int. J. Mod. Phys. C 11(2):233 (2000).

    Google Scholar 

  8. O. Filippova, S. Succi, F. Mazzocco, C. Arrighetti, G. Bella, and D. Hänel, J. Comput. Phys. 170:812 (2001).

    Google Scholar 

  9. Y. H. Qian, D. d'Humieres, and P. Lallemand, Europhys. Lett. 17(6):47–484 (1992).

    Google Scholar 

  10. B. Launder, Simulation and Modeling of Turbulent Flows, T. Gatski, M. Hussaini, and J. Lumley, eds., ICASE/Larc Series in Computational Science and Engineering, Vol. 109 (Oxford University Press, 1996).

  11. V. Yakhot and S. Orszag, Phys. Rev. Lett. 57:1722 (1986); J. Sci. Comp. 1:3 (1986).

    Google Scholar 

  12. S. Succi, H. Chen, I. Karlin, and S. Orszag, Physica A 280:92 (2000).

    Google Scholar 

  13. O. Filippova and D. Hänel, J. Comput. Phys. 165:407 (2000).

    Google Scholar 

  14. C. Alexander, et al., Turbulent flow simulations via extended lattice Boltzmann algorithm, EXA preprint 2001; V. Yakhot et al., A new approach to modelling strongly non-equilibrium, time-dependent, turbulent flows, EXA preprint 2001; R. Shock et al., Recent simulation results on 2D NACA airfoils using Lattice-Boltzmann based algorithm, EXA preprint 2001.

  15. M. Vergassola, R. Benzi, and S. Succi, Europhys. Lett. 13(8):727 (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto Applicazioni Calcolo “M. Picone,”, Viale Policlinico 137, I-00161, Rome, Italy

    S. Succi

  2. Institute of Combustion and Gas Dynamics, University of Duisburg, D-47048, Duisburg, Germany

    O. Filippova

  3. EXA Corporation, Bedford Road 450, Lexington, Massachusetts, 02420

    H. Chen

  4. Mathematics Department, Yale University, New Haven, Connecticut, 06520

    S. Orszag

Authors
  1. S. Succi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. Filippova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Orszag
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Succi, S., Filippova, O., Chen, H. et al. Towards a Renormalized Lattice Boltzmann Equation for Fluid Turbulence. Journal of Statistical Physics 107, 261–278 (2002). https://doi.org/10.1023/A:1014570923357

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1014570923357

Search

Navigation