scispace - formally typeset
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
Reads0
Chats0
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.

read more

Citations
More filters
Journal ArticleDOI

Simulation of Second Moments of Fluctuations of the Velocity and Temperature of Particles in Equilibrium Turbulent Flows

TL;DR: In this article, an analysis of equilibrium solutions of equations for the second moments of fluctuations of the velocity and temperature of particles in a homogeneous shear flow, in homogeneous flow subjected to tensile or compressive strain, and in a wall layer is performed.

2DV NONLINEAR K-εTURBULENCE MODELING OF STRATIFIED FLOWS

TL;DR: In this paper, a nonlinear k-e turbulence model, firstly presented by Speziale (1987) and was implemented in the existing hydrodynamic model, was used to solve the fully nonlinear Navier-Stokes equations based on an ALE description.
Proceedings ArticleDOI

An Anisotropic Modification of the Reynolds Stresses for Algebraic Models of Turbulence

TL;DR: In this paper, an anisotropic modification of linear and non-lineare models of turbulence is presented, which departs from the observation that there are some regions of fluid domains in which the Reynolds stresses do not depend on the magnitude of the mean flow gradients.
Journal ArticleDOI

A comparative study of subgrid-scale stress models in the context of a transitional boundary layer

TL;DR: In this article, four important subgrid-scale (SGS) stress models are investigated in order to assess their predictive performance on modeling of the SGS physics, and the analysis is conducted using the a priori method based on a comprehensive direct numerical simulation (DNS) data set of a transitional boundary layer flow over a flat plate.
Book ChapterDOI

Computations on the Transonic Bump using Explicit Algebraic Reynolds Stress Models

Stefan Wallin
TL;DR: In this paper, the authors investigated the possibilities and limitations of the Explicit Algebraic Reynolds Stress Models (EARSM) and Chien low Reynolds number k-e model for the transonic channel with a bump.
References
More filters
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.
Related Papers (5)