Flow, Turbulence and Combustion

, Volume 100, Issue 3, pp 617–626 | Cite as

Mesh Node Distribution in Terms of Wall Distance for Large-eddy Simulation of Wall-bounded Flows

  • Thibault Dairay
  • Eric LamballaisEmail author
  • Sofiane Benhamadouche


In this note, basic turbulent statistics in a pipe flow are computed accurately by large-eddy simulation using a mesh resolution coarser than the viscous sublayer. These results are obtained when a regular Cartesian mesh is used for the spatial discretization of the circular pipe thanks to an immersed boundary method combined with high-order schemes. In this particular computational configuration, the near-wall features of mean velocity and Reynolds stress profiles are found to be correctly captured at a scale significantly smaller than the mesh size. Comparisons between channel and pipe flow configurations suggest that an irregular mesh distribution in terms of wall distance may be a favourable condition to explicitly compute by large-eddy simulation reliable wall turbulence without any extra-modelling in the near-wall region.


Large-eddy simulation Turbulent pipe flow Immersed boundary method High-order schemes Computational mesh resolution 



This work was granted access to the HPC resources of IDRIS under the allocation 2017-2016-2a0912 made by GENCI. The authors would like to acknowlege EDF R&D for its scientific and financial support through the project P117Z and the collaboration contract EDF-CNRS-ENSMA-UP 8610-59200015175.


  1. 1.
    Sagaut, P.: Large eddy simulation of incompressible flow: an introduction, 2nd edn. Springer, Berlin (2005)Google Scholar
  2. 2.
    Piomelli, U., Balaras, E.: Wall-layer models for large-eddy simulations. Ann. Rev. Fluid Mech. 34, 349–374 (2002)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    El Khoury, G.K., Schlatter, P., Noorani, A., Fischer, P.F., Brethouwer, G., Johansson, A.V.: Direct numerical simulation of turbulent pipe flow at moderately high reynolds numbers. Flow Turbul. Combust. 91(3), 475–495 (2013)CrossRefGoogle Scholar
  4. 4.
    Gautier, R., Laizet, S., Lamballais, E.: A DNS study of jet control with microjets using an immersed boundary method. International Journal of Computational Fluid Dynamics 28(6-10), 393–410 (2014)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Laizet, S., Lamballais, E.: High-order compact schemes for incompressible flows: a simple and efficient method with quasi-spectral accuracy. J. Comp. Phys. 228, 5989–6015 (2009)MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Lamballais, E., Fortuné, V., Laizet, S.: Straightforward high-order numerical dissipation via the viscous term for direct and large eddy simulation. J. Comp. Phys. 230, 3270–3275 (2011)CrossRefzbMATHGoogle Scholar
  7. 7.
    Dairay, T., Lamballais, E., Laizet, S., Vassilicos, J.C.: Numerical dissipation vs. subgrid-scale modelling for Large Eddy Simulation. J. Comput. Phys. 337, 252–274 (2017)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Dairay, T., Fortuné, V., Lamballais, E., Brizzi, L.E.: LES of a turbulent jet impinging on a heated wall using high-order numerical schemes. Int. J. Heat Fluid Flow 50, 177–187 (2014)CrossRefGoogle Scholar
  9. 9.
    Eggels, J., Unger, F., Weiss, M., Westerweel, J., Adrian, R., Friedrich, R., Nieuwstadt, F.: Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175–210 (1994)CrossRefGoogle Scholar
  10. 10.
    Lele, S.K.: Compact finite difference schemes with spectral-like resolution. J. Comp. Phys. 103, 16–42 (1992)MathSciNetCrossRefzbMATHGoogle Scholar
  11. 11.
    Moser, R.D., Kim, J., Mansour, N.N.: Direct numerical simulation of turbulent channel flow up to R e τ = 590. Phys. Fluids 11(4), 943–945 (1999)CrossRefzbMATHGoogle Scholar
  12. 12.
    Deville, M.O., Fischer, P.F., Mund, E.H.: High-order methods for incompressible fluid flow. Cambridge University press, Cambridge (2002)CrossRefzbMATHGoogle Scholar
  13. 13.
    Karniadakis, G., Sherwin, S.: Spectral/hp Element Methods for Computational Fluid Dynamics, 2nd edn. Oxford Science Publications, Oxford (2005)CrossRefzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2017

Authors and Affiliations

  1. 1.PPRIME InstituteIncompressible Turbulence and Control Group - Université de Poitiers, CNRS, ISAE-ENSMAFuturoscope Chasseneuil CedexFrance
  2. 2.EDF R&D, Fluid MechanicsEnergy and Environment Department 6 Quai WattierChatouFrance

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