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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

Large Eddy and Reynolds-Averaged Navier - Stokes Simulations of Turbulent Flow Over an Airfoil

TL;DR: In this paper, a large eddy simulation (LES) of turbulent flow over an airfoil near stall is performed and compared with those of Reynolds-Averaged Navier-Stokes (RANS) simulations using two well-known turbulence models, namely the Baldwin-Lomax model and the Spalart-Allmaras model.
Book ChapterDOI

Chapter 6 – Turbulent flows: Model equations and solution methodology

TL;DR: In this article, the authors outline the development of the turbulent closure schemes and discuss their implementation into numerical algorithms, and provide an unambiguous evaluation of the performance of the various second-moment or two-equation models.
Journal ArticleDOI

Modelling shock/boundary-layer interaction with nonlinear eddy-viscosity closures

TL;DR: In this paper, several nonlinear eddy-viscosity models were used as a basis for resolving turbulence transport in transonic flows, with particular emphasis placed on shock-induced separation, and the results demonstrate that nonlinear models with coefficients appropriately sensitized to strain and vorticity invariants yield results which are superior to a standard linear low-Re k-e model.
Journal ArticleDOI

Application of a new K-tau model to near wall turbulent flows

TL;DR: In this article, a K-tau model for near wall turbulent flows is applied to a variety of test cases, including the incompressible flat plate boundary layer with adverse pressure gradients.
Journal ArticleDOI

Comparison of zonal RANS and LES for a non-isothermal ribbed channel flow

TL;DR: In this paper, a non-isothermal ribbed channel flow is simulated using a k-l based zonal large Eddy simulation (ZLES) method and the S-A based detached Eddy simulations (DES) approach.
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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