Anisotropy Invariant Reynolds Stress Model of Turbulence (AIRSM) and its Application to Attached and Separated Wall-Bounded Flows

Kumar, Vinod; Jovanović, J.; Breuer, M.; Hadžić, I.; Lechner, Richard

doi:10.1007/s10494-008-9190-y

Cited by 4 publications

(1 citation statement)

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“…Modelling is particularly challenging for separated flows. The AIM is helpful to directly take into account the anisotropy of the flow, see Jovičić et al (2006); Kumar et al (2009) and the general discussion in Jovanovic (2013) where II and III are used to compute the length scale appearing in the eddy-viscosity thus including anisotropic effects in the model. Figure 24 shows the AIM for simulation C1 at three stations.…”

Section: Invariant Mapsmentioning

confidence: 99%

Effect of geometry and Reynolds number on the turbulent separated flow behind a bulge in a channel

et al. 2017

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Turbulent flow separation induced by a protuberance on one of the walls of an otherwise planar channel is investigated using direct numerical simulations. Different bulge geometries and Reynolds numbers -with the highest friction Reynolds number simulation reaching a peak of Re τ = 900 -are addressed to understand the effect of the wall curvature and of the Reynolds number on the dynamics of the recirculating bubble behind the bump. Global quantities reveal that most of the drag is due to the form contribution, whilst the friction contribution does not change appreciably with respect to an equivalent planar channel flow. The size and position of the separation bubble strongly depends on the bump shape and the Reynolds number. The most bluff geometry has a larger recirculation region, whilst the Reynolds number increase results in a smaller recirculation bubble and a shear layer more attached to the bump. The position of the reattachment point only depends on the Reynolds number, in agreement with experimental data available in the literature. Both the mean and the turbulent kinetic energy equations are addressed in such non-homogeneous conditions revealing a non-trivial behaviour of the energy fluxes. The energy introduced by the pressure drop follows two routes: part of it is transferred towards the walls to be dissipated and part feeds the turbulent production hence the velocity fluctuations in the separating shear layer. Spatial energy fluxes transfer the kinetic energy into the recirculation bubble and downstream near the wall where it is ultimately dissipated. Consistently, anisotropy concentrates at small scales near the walls irrespective of the value of the Reynolds number. In the bulk flow and in the recirculation bubble, isotropy is restored at small scales and the isotropy recovery rate is controlled by the Reynolds number. Anisotropy invariant maps are presented, showing the difficulty in developing suitable turbulence models to predict separated turbulent flow dynamics. Results shed light on the processes of production, transfer and dissipation of energy in this relatively complex turbulent flow where non-homogeneous effects overwhelm the classical picture of wall-bounded turbulent flows which typically exploits streamwise homogeneity.

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Section: Invariant Mapsmentioning

confidence: 99%