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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
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

The persistence of trailing vortices: A modeling study

O. Zeman
- 01 Jan 1995 - 
TL;DR: In this article, an analysis and modeling of turbulent wing tip vortex flows in a far-field region of the vortex evolution is presented, where the choice of a Reynolds stress closure (RSC) to model the vortex turbulence is shown to be indispensable for representation of the flow rotation effects on turbulence.
Journal ArticleDOI

A Combined Large-Eddy Simulation and Time-Dependent RANS Capability for High-Speed Compressible Flows

TL;DR: An entirely new approach to the large-eddy simulation (LES) of high-speed compressible turbulent flows is presented and subgrid scale stress models are proposed that are dimensionless functions of the computational mesh size times a Reynolds stress model.
Journal ArticleDOI

Turbulence Modeling in Noninertial Frames of Reference

TL;DR: In this article, the effect of an arbitrary change of frame on the structure of turbulence models is examined from a theoretical standpoint and it is proven that turbulence models must be form invariant under arbitrary translational accelerations of the reference frame and should only be affected by rotations through the intrinsic mean vorticity.
Proceedings ArticleDOI

Predictions of a Film Coolant Jet in Crossflow With Different Turbulence Models

TL;DR: In this article, the performance of several existing turbulence models for the prediction of a film coolant jet in a crossflow was investigated, and the assessment of models has been done keeping in mind that all models have been formulated for wall bounded flows and may not be well suited for the jet-in-a-crossflow situation.
Journal ArticleDOI

An interpretable framework of data-driven turbulence modeling using deep neural networks

TL;DR: This paper presents a universally interpretable machine learning (UIML) framework for turbulence modeling, which consists of two parallel machine learning-based modules to directly infer the structural and parametric representations of turbulence physics, respectively.
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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