An analysis of RNG‐based turbulence models for homogeneous shear flow

This work focuses on the performance and validation of compressible turbulence models for the pressure-strain correlation. Considering the Launder Reece and Rodi (LRR) incompressible model for the pressure-strain correlation, Adumitroaie et al., Huang et al., and Marzougui et al., used different modeling approaches to develop turbulence models, taking into account compressibility effects for this term. Two numerical coefficients are dependent on the turbulent Mach number, and all of the remaining coefficients conserve the same values as in the original LRR model. The models do not correctly predict the compressible turbulence at a high-speed shear flow. So, the revision of these models is the major aim of this study. In the present work, the compressible model for the pressure-strain correlation developed by Khlifi−Lili, involving the turbulent Mach number, the gradient, and the convective Mach numbers, is used to modify the linear mean shear strain and the slow terms of the previous models. The models are tested in two compressible turbulent flows: homogeneous shear flow and the newly developed plane mixing layers. The predicted results of the proposed modifications of the Adumitroaie et al., Huang et al., and Marzougui et al., models and of its universal versions are compared with direct numerical simulation (DNS) and experiment data. The results show that the important parameters of compressibility in homogeneous shear flow and in the mixing layers are well predicted by the proposal models.

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Numerical Study for Estimating Fluid Forces Acting on a Rotating Sphere in a Homogeneous Shear Flow.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.62.2550 ◽

1996 ◽

Vol 62 (599) ◽

pp. 2550-2557 ◽

Cited By ~ 1

Author(s):

Ryoichi KUROSE ◽

Satoru KOMORI

Keyword(s):

Shear Flow ◽

Numerical Study ◽

Rotating Sphere ◽

Homogeneous Shear ◽

Fluid Forces ◽

Homogeneous Shear Flow

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Vertically localised equilibrium solutions in large-eddy simulations of homogeneous shear flow

Journal of Fluid Mechanics ◽

10.1017/jfm.2017.450 ◽

2017 ◽

Vol 827 ◽

pp. 225-249 ◽

Cited By ~ 7

Author(s):

Atsushi Sekimoto ◽

Javier Jiménez

Keyword(s):

Shear Flow ◽

Vertical Direction ◽

Large Eddy Simulations ◽

Small Scale ◽

Box Dimension ◽

Equilibrium Solutions ◽

Vortical Structures ◽

Homogeneous Shear ◽

Large Eddy ◽

Homogeneous Shear Flow

Unstable equilibrium solutions in a homogeneous shear flow with sinuous (streamwise-shift-reflection and spanwise-shift-rotation) symmetry are numerically found in large-eddy simulations (LES) with no kinetic viscosity. The small-scale properties are determined by the mixing length scale $l_{S}$ used to define eddy viscosity, and the large-scale motion is induced by the mean shear at the integral scale, which is limited by the spanwise box dimension $L_{z}$. The fraction $R_{S}=L_{z}/l_{S}$, which plays the role of a Reynolds number, is used as a numerical continuation parameter. It is shown that equilibrium solutions appear by a saddle-node bifurcation as $R_{S}$ increases, and that the flow structures resemble those in plane Couette flow with the same sinuous symmetry. The vortical structures of both lower- and upper-branch solutions become spontaneously localised in the vertical direction. The lower-branch solution is an edge state at low $R_{S}$, and takes the form of a thin critical layer as $R_{S}$ increases, as in the asymptotic theory of generic shear flow at high Reynolds numbers. On the other hand, the upper-branch solutions are characterised by a tall velocity streak with multiscale multiple vortical structures. At the higher end of $R_{S}$, an incipient multiscale structure is found. The LES turbulence occasionally visits vertically localised states whose vortical structure resembles the present vertically localised LES equilibria.

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Anisotropic clustering of inertial particles in homogeneous shear flow

Journal of Fluid Mechanics ◽

10.1017/s002211200900648x ◽

2009 ◽

Vol 629 ◽

pp. 25-39 ◽

Cited By ~ 63

Author(s):

P. GUALTIERI ◽

F. PICANO ◽

C. M. CASCIOLA

Keyword(s):

Relaxation Time ◽

Shear Flow ◽

Large Scale ◽

Inertial Particles ◽

Spatial Homogeneity ◽

Homogeneous Shear ◽

Multi Scale ◽

Angular Distribution Function ◽

Homogeneous Shear Flow ◽

Anisotropic Clustering

Recently, clustering of inertial particles in turbulence has been thoroughly analysed for statistically homogeneous isotropic flows. Phenomenologically, spatial homogeneity of particle configurations is broken by the advection of a range of eddies determined by the Stokes relaxation time of the particles. This in turn results in a multi-scale distribution of local particle concentration and voids. Much less is known concerning anisotropic flows. Here, by addressing direct numerical simulations (DNS) of a statistically steady particle-laden homogeneous shear flow, we provide evidence that the mean shear preferentially orients particle patterns. By imprinting anisotropy on large-scale velocity fluctuations, the shear indirectly affects the geometry of the clusters. Quantitative evaluation is provided by a purposely designed tool, the angular distribution function (ADF) of particle pairs, which allows to address the anisotropy content of particle aggregates on a scale-by-scale basis. The data provide evidence that, depending on the Stokes relaxation time of the particles, anisotropic clustering may occur even in the range of scales in which the carrier phase velocity field is already recovering isotropy. The strength of the singularity in the anisotropic component of the ADF quantifies the level of fine-scale anisotropy, which may even reach values of more than 30% direction-dependent variation in the probability to find two closeby particles at viscous-scale separation.

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