Turbulence and Internal Waves in a Stably-Stratified Channel Flow

  • Manuel García-Villalba
  • Juan C. del Álamo


Direct numerical simulations (DNS) of stably-stratified, turbulent channel flow at moderate Reynolds number are currently being performed on the XC-4000. A wide range of stratification levels is being considered and large computational boxes are being employed to study carefully the effects of stratification on the wall turbulence. First and second order statistics are discussed. The characteristics of the flow are elucidated using instantaneous snapshots of velocity and density fluctuations. It is shown that, for high stratification levels, the flow remains turbulent close to the walls while internal gravity waves dominate the core of the channel.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R.P. Garg, J.H. Ferziger, S.G. Monismith, and J.R. Koseff. Stably stratified turbulent channel flows. I. Stratification regimes and turbulence suppression mechanism. Phys. Fluids, 12:2569–2594, 2000. CrossRefGoogle Scholar
  2. 2.
    V. Armenio and S. Sarkar. An investigation of stably stratified turbulent channel flow using large-eddy simulation. J. Fluid Mech., 459:1–42, 2002. zbMATHCrossRefGoogle Scholar
  3. 3.
    O. Iida, N. Kasagi, and Y. Nagano. Direct numerical simulation of turbulent channel flow under stable density stratification. Int. J. Heat Mass Transfer, 45:1693–1703, 2002. zbMATHCrossRefGoogle Scholar
  4. 4.
    Y.H. Dong and X.Y. Lu. Direct numerical simulation of stably and unstably stratified turbulent open channel flows. Acta Mechanica, 177:115–136, 2005. zbMATHCrossRefGoogle Scholar
  5. 5.
    F.T.M. Nieuwstadt. Direct numerical simulation of stable channel flow at large stability. Boundary Layer Meteorology, 116:277–299, 2005. CrossRefGoogle Scholar
  6. 6.
    J. Kim, P. Moin, and R. Moser. Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech., 177:133–166, 1987. zbMATHCrossRefGoogle Scholar
  7. 7.
    P.R. Spalart, R.D. Moser, and M.M. Rogers. Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions. J. Comp. Phys., 96:297–324, 1991. zbMATHCrossRefMathSciNetGoogle Scholar
  8. 8.
    J.C. del Álamo and J. Jiménez. Spectra of the very large anisotropic scales in turbulent channels. Phys. Fluids, 15:L41–L44, 2003. CrossRefGoogle Scholar
  9. 9.
    J.C. del Álamo, J. Jiménez, P. Zandonade, and R.D. Moser. Scaling of the energy spectra in turbulent channels. J. Fluid Mech., 500:135–144, 2004. zbMATHCrossRefGoogle Scholar
  10. 10.
    M. García-Villalba and J.C. del Álamo. Direct numerical simulation of stably-stratified turbulent channel flow. In preparation, 2008. Google Scholar
  11. 11.
    J.S. Turner. Buoyancy effects in fluids. Cambridge Univ. Press, 1973. Google Scholar
  12. 12.
    K.J. Bullock, R.E. Cooper, and F.H. Abernathy. Structural similarity in radial correlations and spectra of longitudinal velocity fluctuations in pipe flow. J. Fluid Mech., 88:585–608, 1978. CrossRefGoogle Scholar
  13. 13.
    S. Hoyas and J. Jiménez. Scaling of the velocity fluctuations in turbulent channels up to Re τ=2003. Phys. Fluids, 18:011702, 2006. CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Manuel García-Villalba
    • 1
  • Juan C. del Álamo
    • 2
  1. 1.Institut für HydromechanikUniversität KarlsruheGermany
  2. 2.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaSan Diego

Personalised recommendations