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Journal ArticleDOI

On nonlinear K-l and K-ε models of turbulence

Charles G. Speziale
- 01 May 1987 - 
- Vol. 178, Iss: -1, pp 459-475
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TLDR
In this paper, a nonlinear K-l and K-e model is proposed to predict the normal Reynolds stresses in turbulent channel flow much more accurately than the linear model, and the nonlinear model is shown to be capable of predicting turbulent secondary flows in non-circular ducts.
Abstract
The commonly used linear K-l and K-e models of turbulence are shown to be incapable of accurately predicting turbulent flows where the normal Reynolds stresses play an important role. By means of an asymptotic expansion, nonlinear K-l and K-e models are obtained which, unlike all such previous nonlinear models, satisfy both realizability and the necessary invariance requirements. Calculations are presented which demonstrate that this nonlinear model is able to predict the normal Reynolds stresses in turbulent channel flow much more accurately than the linear model. Furthermore, the nonlinear model is shown to be capable of predicting turbulent secondary flows in non-circular ducts - a phenomenon which the linear models are fundamentally unable to describe. An additional application of this model to the improved prediction of separated flows is discussed briefly along with other possible avenues of future research.

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Citations
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Journal ArticleDOI

Turbulence closure modeling with data-driven techniques: physical compatibility and consistency considerations

TL;DR: In this article, a recent thrust in turbulence closure modeling research is to incorporate machine learning (ML) elements, such as neural networks, for the purpose of enhancing the predictive capability to a broader class of flows.
Journal ArticleDOI

Higher‐order terms in the anisotropic representation of Reynolds stresses

Kiyosi Horiuti
- 01 Oct 1990 - 
TL;DR: In this article, higher-order terms in the k-e model for the anisotropic representation (AR) of the Reynolds stresses are investigated, and it was found that third-order AR may be used as an alternative method to reduce the magnitude of the eddy viscosity in the buffer layer region by acting similarly to the Van Driest damping function.
Journal ArticleDOI

Formation of Secondary Vortices in Turbulent Square-Duct Flow

TL;DR: In this article, a linear approach is used to describe the formation of large-scale coherent vortices for the turbulent flow that develops in a duct of square cross-section.
Journal ArticleDOI

Unsteady separated flows over manoeuvring lifting surfaces

TL;DR: In this article, numerical simulations of dynamic-stall phenomena have been performed using an implicit unfactored Navier-Stokes solver and various turbulence closures, including linear and nonlinear low-Re eddy-viscosity models.
References
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Journal ArticleDOI

Progress in the development of a Reynolds-stress turbulence closure

TL;DR: In this article, the authors developed a model of turbulence in which the Reynolds stresses are determined from the solution of transport equations for these variables and for the turbulence energy dissipation rate E. Particular attention is given to the approximation of the pressure-strain correlations; the forms adopted appear to give reasonably satisfactory partitioning of the stresses both near walls and in free shear flows.
Journal ArticleDOI

A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers

TL;DR: In this article, the three-dimensional, primitive equations of motion have been integrated numerically in time for the case of turbulent, plane Poiseuille flow at very large Reynolds numbers.
Journal ArticleDOI

Numerical investigation of turbulent channel flow

TL;DR: In this article, a large-scale flow field was obtained by directly integrating the filtered, three-dimensional, time dependent, Navier-Stokes equations, and small-scale field motions were simulated through an eddy viscosity model.
Book ChapterDOI

Computational Modeling of Turbulent Flows

TL;DR: In this article, it is shown that direct simulation is not an alternative for practical computation and that the various sophisticated closures suffer from essentially the same problems as the direct simulations and therefore, are limited to homogeneous situations.
Journal ArticleDOI

A Reynolds stress model of turbulence and its application to thin shear flows

TL;DR: In this paper, the authors provided a model of turbulence which effects closure through approximated transport equations for the Reynolds stress tensor the turbulence energy κ and e.g., the turbulent shear stress does not vanish where the mean rate of strain goes to zero.
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