On Reynolds-stress expressions and near-wall scaling parameters for predicting wall and homogeneous turbulent shear flows

Abe, Ken; Kondoh, Tsuguo; Nagano, Yasutaka

doi:10.1016/s0142-727x(97)00008-8

Cited by 55 publications

(39 citation statements)

References 23 publications

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“…This contrivance tends to successfully predict the kinetic energy and dissipation rate profiles [20]. …”

Section: Other Model Coefficientsmentioning

confidence: 99%

“…One can use the blending (20) to express in the whole wall region. However, due to a very steep and specific (non-monotonic) variation of in the near-wall region, Popovac and Hanjalic [5] found it beneficial to modify slightly the coefficient in the exponent of the blending function , so that the recommended expression for the complete near-wall region becomes…”

Section: Compound Wall Treatment (Cwt)mentioning

confidence: 99%

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Compound wall treatment with low‐Re turbulence model

Rahman

Siikonen

2011

Numerical Methods in Fluids

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SUMMARYA generalized treatment for the wall boundary conditions relating to turbulent flows is developed that blends the integration to a solid wall with wall functions. The blending function ensures a smooth transition between the viscous and turbulent regions. An improved low Reynolds number k-model is coupled with the proposed compound wall treatment to determine the turbulence field. The eddy viscosity formulation maintains the positivity of normal Reynolds stresses and Schwarz' inequality for turbulent shear stresses. The model coefficients/functions preserve the anisotropic characteristics of turbulence. Computations with fine and coarse meshes of a few flow cases yield appreciably good agreement with the direct numerical simulation and experimental data. The method is recommended for computing the complex flows where computational grids cannot satisfy a priori the prerequisites of viscous/turbulence regions.

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“…This contrivance tends to successfully predict the kinetic energy and dissipation rate profiles [20]. …”

Section: Other Model Coefficientsmentioning

confidence: 99%

Section: Compound Wall Treatment (Cwt)mentioning

confidence: 99%

Compound wall treatment with low‐Re turbulence model

Rahman

Siikonen

2011

Numerical Methods in Fluids

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“…where R t (= k 2 / nε) is the turbulent Reynolds number and f w is the model function as follows (Abe et al [15]):…”

Section: Turbulence Modelsmentioning

confidence: 99%

A hybrid LES/RANS approach using anisotropy‐resolving algebraic turbulence models for predicting turbulent heat transfer

Inuzuka

Abe

2007

Heat Trans. Asian Res.

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In order to derive a possible path for developing a large eddy simulation (LES) applicable to high Reynolds-number turbulent flows with heat transfer, a hybrid approach connecting LES with the Reynolds-averaged Navier-Stokes (RANS) modeling in the near-wall region is studied. In this study, an advanced non-linear eddyviscosity model and a higher-order extension of the generalized gradient diffusion hypothesis model are introduced to resolve the near-wall turbulence and turbulent heat transfer more correctly. To investigate the model performance in detail, the proposed model is applied to fully developed plane channel flows with various grid resolutions. The present model provides encouraging results for further development of this kind of hybrid LES/RANS model.

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“…This contrivance tends to successfully predict the kinetic energy and dissipation rate proÿles [34].…”

Section: Near-wall Modellingmentioning

confidence: 99%

An explicit algebraic Reynolds stress model in turbulence

Rahman¹,

Siikonen²

2006

Int. J. Numer. Meth. Fluids

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SUMMARYA new algebraic Reynold stress model is constructed with recourse to the realizability constraints. Model coe cients are made a function of strain and vorticity invariants through calibration by reference to homogeneous shear ow data. The anisotropic production in near-wall regions is accounted for substantially by modifying the model constants C (1; 2) and adding a secondary source term in the equation. Hence, it reduces the kinetic energy and length scale magnitudes to improve prediction of adverse pressure gradient ows, involving ow separation and reattachment. To facilitate the evaluation of the turbulence model, some extensively used benchmark cases in the turbulence modelling are convoked. The comparisons demonstrate that the new model maintains qualitatively good agreement with the direct numerical simulation (DNS) and experimental data.

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On Reynolds-stress expressions and near-wall scaling parameters for predicting wall and homogeneous turbulent shear flows

Cited by 55 publications

References 23 publications

Compound wall treatment with low‐Re turbulence model

Compound wall treatment with low‐Re turbulence model

A hybrid LES/RANS approach using anisotropy‐resolving algebraic turbulence models for predicting turbulent heat transfer

An explicit algebraic Reynolds stress model in turbulence

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