A new low-Reynolds-number nonlinear two-equation turbulence model for complex flows

Apsley, David; Leschziner, M. A.

doi:10.1016/s0142-727x(97)10007-8

Cited by 90 publications

(61 citation statements)

References 18 publications

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“…It predicts the rapid decay of the CO 2 jet and the much slower decay of the He-air jet correctly, although it cannot exactly represent the azimuthal velocity. Cubic model of Apsley and Leschziner [15] represents the azimuthal velocity proÿles of combined forced-free vortex motion fairly well, however, it overestimates the decay of central jet to some extent. These results show that cubic models can represent the ow physics well with appropriate modelling, and the calibration of model coe cients is still a topic of investigation.…”

Section: Discussionmentioning

confidence: 97%

Cubic eddy‐viscosity turbulence models for strongly swirling confined flows with variable density

Yang

2004

Numerical Methods in Fluids

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SUMMARYAn investigation on the predictive performance of cubic eddy-viscosity turbulence models for strongly swirling conÿned ows with variable density is presented. Comparisons of the prediction with the experiments show some improvements of cubic models over the linear k-model. The linear k-model does not contain any mechanism to represent the interaction of swirl and density variation and as a consequence it performs poorly. With appropriate modelling, two-equation cubic turbulence models can capture the subcritical nature of the ow, represent the azimuthal velocity proÿles of combined forcedfree vortex motion, and predict the combined e ects of swirl and density variation fairly well. However, the calibration of model coe cients is still a topic of investigation. Further amendments are also needed for the equations of k and to take into account the e ects of swirl and density gradients correctly.

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Section: Discussionmentioning

confidence: 97%

Cubic eddy‐viscosity turbulence models for strongly swirling confined flows with variable density

Yang

2004

Numerical Methods in Fluids

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“…Effectively, the k-ε-fP EVM has a variable Cµ, which is the only difference with the standard k-ε EVM. The scalar function fP [11] of the k-ε-fP EVM is defined as:…”

Section: Ransmentioning

confidence: 99%

“…These difference are negligible for the high ambient turbulence case. The function fP , that represents the varying part of the effective eddy-viscosity coefficient in k-ε-fP EVM, as defined in equation (11), is plotted in Figure 12. The results are compared with the k-ε EVM, in which fP is equal to one by definition.…”

Section: Comparison Of Turbulence Models For Double Wakes Using Constmentioning

confidence: 99%

Thek-ε-f_Pmodel applied to double wind turbine wakes using different actuator disk force methods

et al. 2014

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The newly developed k‐ε‐fP eddy viscosity model is applied to double wind turbine wake configurations in a neutral atmospheric boundary layer, using a Reynolds‐Averaged Navier–Stokes solver. The wind turbines are represented by actuator disks. A proposed variable actuator disk force method is employed to estimate the power production of the interacting wind turbines, and the results are compared with two existing methods: a method based on tabulated airfoil data and a method based on the axial induction from 1D momentum theory. The proposed method calculates the correct power, while the other two methods overpredict it. The results of the k‐ε‐fP eddy viscosity model are also compared with the original k‐ε eddy viscosity model and large‐eddy simulations. Compared to the large‐eddy simulations‐predicted velocity and power deficits, the k‐ε‐fP is superior to the original k‐ε model. Copyright © 2014 John Wiley & Sons, Ltd.

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“…D(u i u j /k − δ i j 2/3)/Dt = 0, referred to the "weak-equilibrium assumption". Then, upon a replacement of the turbulenceenergy transport by its production minus dissipation, the 'algebraic' system is recast or inverted, so as to yield a set of equations that link the stresses, explicitly, to linear and non-linear strains, as done along different routes by Pope (1975), Taulbee [15], Gatski and Speziale [9], Girimaji [10], Apsley and Leschziner [2], Wallin and Johansson [16] and Abe et al [1], among others. This finally allows a substantial proportion of the stresses (the linear fragment) to be expressed, within the RANS equations, in terms of a viscosity-like quantity multiplying second-order gradients of the mean velocity.…”

Section: Introductionmentioning

confidence: 99%

Assessing the Role of Curvature Effects in the Representation of Anisotropy Transport in Algebraic Reynolds-Stress Modelling Applied to Separated Flow

Wang¹,

Dejoan²,

Leschziner³

2005

Flow Turbulence Combust

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A "curvature correction", in the sense used herein, is model fragment that is intended to account for some proportion of the error that is introduced into explicit algebraic Reynolds-stress models as a consequence of ignoring the convective transport of stress anisotropy within a framework in which the velocity vector and stress tensor are represented in terms of Cartesian components in highly-curved flow conditions. The present paper examines the ability of such corrections to represent this error, based on a-priori investigations of representative 2-D and 3-D massively separated flows for which the 'exact' level of the stress transport is known. In essence, the corrections reflect the assumption that the convection of the Reynolds-stress components, or the associated strain-tensor components, expressed in terms of curvature-oriented coordinates, is negligible. The analysis shows, first, that in general recirculating flows, the contribution of anisotropy transport to the stress balance is generally small, so that any form of related correction is of little consequence. Second, the variants of curvature correction examined correlate poorly with the real anisotropy convection. Thus, while these curvature corrections are useful in very particular conditions, such as flow in highly-curved ducts, they are not generally effective -indeed, possibly counterproductive -and cannot be recommended for inclusion in general numerical schemes.

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A new low-Reynolds-number nonlinear two-equation turbulence model for complex flows

Cited by 90 publications

References 18 publications

Cubic eddy‐viscosity turbulence models for strongly swirling confined flows with variable density

Cubic eddy‐viscosity turbulence models for strongly swirling confined flows with variable density

Thek-ε-f_Pmodel applied to double wind turbine wakes using different actuator disk force methods

Assessing the Role of Curvature Effects in the Representation of Anisotropy Transport in Algebraic Reynolds-Stress Modelling Applied to Separated Flow

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A new low-Reynolds-number nonlinear two-equation turbulence model for complex flows

Cited by 90 publications

References 18 publications

Cubic eddy‐viscosity turbulence models for strongly swirling confined flows with variable density

Cubic eddy‐viscosity turbulence models for strongly swirling confined flows with variable density

Thek-ε-fPmodel applied to double wind turbine wakes using different actuator disk force methods

Assessing the Role of Curvature Effects in the Representation of Anisotropy Transport in Algebraic Reynolds-Stress Modelling Applied to Separated Flow

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Thek-ε-f_Pmodel applied to double wind turbine wakes using different actuator disk force methods