Direct numerical simulation of a self-similar adverse pressure gradient turbulent boundary layer

V. Kitsios, C. Atkinson, J. A. Sillero, G. Borrell, A. G. Gungor, J. Jiménez, J. Soria

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The statistical properties of a self-similar adverse pressure gradient (APG) turbulent boundary layer (TBL) are presented. The flow is generated via the direct numerical simulation of a TBL on a flat surface with a farfield boundary condition designed to apply the desired pressure gradient. The conditions for self-similarity and appropriate scaling are derived, with the mean profiles, Reynolds stress profiles, and turbulent kinetic energy budgets non-dimensionalised using this scaling. The APG TBL has a momentum thickness based Reynolds number range from Reδ2=300 to 6000, with a self-similar region spanning a Reynolds number range from Reδ2=3500 to 4800. Within this range the non-dimensional pressure gradient parameter β=1. Two-point correlations of each of the velocity components in the streamwise/wall-normal plane are also presented, which illustrate the statistical imprint of the structures in this plane for the APG TBL.

Original languageEnglish
Pages (from-to)129-136
Number of pages8
JournalInternational Journal of Heat and Fluid Flow
Publication statusPublished - 1 Oct 2016


  • Adverse pressure gradient
  • Direct numerical simulation
  • Turbulent boundary layer

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