Applied Mathematics and Mechanics

, Volume 40, Issue 2, pp 215–236 | Cite as

Non-equilibrium turbulent phenomena in the flow over a backward-facing ramp

  • Le Fang
  • Hongkai Zhao
  • Weidan Ni
  • Jian Fang
  • Lipeng LuEmail author


Non-equilibrium turbulence phenomena have raised great interests in recent years. Significant efforts have been devoted to non-equilibrium turbulence properties in canonical flows, e.g., grid turbulence, turbulent wakes, and homogeneous isotropic turbulence (HIT). The non-equilibrium turbulence in non-canonical flows, however, has rarely been studied due to the complexity of the flows. In the present contribution, a directnumerical simulation (DNS) database of a turbulent flow is analyzed over a backwardfacing ramp, the flow near the boundary is demonstrated, and the non-equilibrium turbulent properties of the flow in the wake of the ramp are presented by using the characteristic parameters such as the dissipation coefficient Cϵ and the skewness of longitudinal velocity gradient Sk, but with opposite underlying turbulent energy transfer properties. The equation of Lagrangian velocity gradient correlation is examined, and the results show that non-equilibrium turbulence is the result of phase de-coherence phenomena, which is not taken into account in the modeling of non-equilibrium turbulence. These findings are expected to inspire deeper investigation of different non-equilibrium turbulence phenomena in different flow conditions and the improvement of turbulence modeling.

Key words

non-equilibrium turbulence backward ramp direct numerical simulation (DNS) 

Chinese Library Classification


2010 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Le Fang
    • 1
  • Hongkai Zhao
    • 2
  • Weidan Ni
    • 2
    • 3
  • Jian Fang
    • 3
  • Lipeng Lu
    • 2
    Email author
  1. 1.Laboratoire de Mecanique Physique (LMP), Ecole Centrale de PékinBeihang UniversityBeijingChina
  2. 2.National Key Laboratory of Science and Technology on Aero-Engine Aero-Thermodynamics, School of Energy and Power EngineeringBeihang UniversityBeijingChina
  3. 3.Scientific Computing DepartmentScience and Technology Facilities Council (STFC), Daresbury LaboratoryWarringtonUK

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