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

doi:10.1007/s10483-019-2428-6

Abstract

Abstract: 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 C_∊ and the skewness of longitudinal velocity gradient S_k, 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: section theorem, coincidence theorem, intersection theorem, H-KKM mapping, variational inequality, minimax inequality, backward ramp, direct numerical simulation (DNS), non-equilibrium turbulence

2010 MSC Number:

76F02

Le FANG, Hongkai ZHAO, Weidan NI, Jian FANG, Lipeng LU. Non-equilibrium turbulent phenomena in the flow over a backward-facing ramp. Applied Mathematics and Mechanics (English Edition), 2019, 40(2): 215-236.

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