DNS of Turbulent Boundary Layers Subjected to Adverse Pressure Gradients

  • Guillermo ArayaEmail author
  • Luciano Castillo
Part of the Springer Proceedings in Physics book series (SPPHY, volume 141)


Direct Numerical Simulations (DNS) of spatially-developing turbulent boundary layers with prescribed moderate and strong adverse pressure (APG) gradients are performed. A method for prescribing realistic turbulent velocity inflow boundary conditions is employed based on the on the dynamic multi-scale approach proposed by [1] [2]; and, it is an extension of the rescaling-recycling method by [6]. Comparison with data from more costly DNS ([7][5]) yields accurate results. In addition, the dynamic multi-scale approach does not require lengthy computational domains as in [7] and [5]. Furthermore, it is shown that in APG flows the presence of a second outer peak in \(u{^{\prime +}_{rms}}\) is more pronounce than in ZPG flows. Additionally, the plateau between the inner and outer peaks suggests the presence of an overlap (i.e., meso-layer) in the mean velocity profile, as discussed in GC-97 [3]. Moreover, these outer peaks are also observed in the production of turbulence even at low Reynolds numbers. Finally, the mean velocity profiles in wall-units show that the wake region is magnified as the APG strengths increases. This suggests that the large scales in the outer flow dominate most of the boundary layer.


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  1. 1.
    Araya, G., Jansen, K., Castillo, L.: Inlet condition generation for spatially-developing turbulent boundary layers via multi-scale similarity. Journal of Turbulence 10(36), 1–33 (2009)Google Scholar
  2. 2.
    Araya, G., Castillo, L., Meneveau, C., Jansen, K.: A dynamic multi-scale approach for turbulent inflow boundary conditions in spatially-developing flows. Journal of Fluid Mechanics (2011), doi:10.1017/S0022112010005616Google Scholar
  3. 3.
    George, W.K., Castillo, L.: Zero-pressure-gradient turbulent boundary layer. Appl. Mech. Rev. 50, 689–729 (1997)CrossRefGoogle Scholar
  4. 4.
    Hutchins, N., Marusic, I.: Large-scale influences in near-wall turbulence. Philosophical Transactions of The Royal Society A 365, 647–664 (2007)zbMATHCrossRefGoogle Scholar
  5. 5.
    Lee, J., Sung, H.: Effects of an adverse pressure gradient on a turbulent boundary layer. Int. J. of Heat and Fluid Flow 29(3), 568–578 (2008)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Lund, T.S., Wu, X., Squires, K.D.: Generation of turbulent inflow data for spatially-developing boundary layer simulations. J. Comp. Phys. 140, 233–258 (1998)MathSciNetzbMATHCrossRefGoogle Scholar
  7. 7.
    Skote, M, Studies of turbulent boundary layer flow through Direct Numerical Simulation. PhD thesis, Royal Institute of Technology, Stockholm, Sweden (2001)Google Scholar

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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Civil & Computational Engineering CentreSwansea UniversitySwanseaUK
  2. 2.Dept. of Mechanical, Aeronautical and Nuclear Eng.Rensselaer Polytechnic InstituteTroyUSA

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