Towards a Nonlinear Eddy-Viscosity Model Based on Elliptic Relaxation

Reif, Bjørn Anders Pettersson

doi:10.1007/s10494-006-9013-y

Cited by 11 publications

(2 citation statements)

References 24 publications

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“…This model solves two additional equations in order to predict the eddyviscosity. Its origins can be traced to work done by Durbin (1996Durbin ( , 1995Durbin ( , 1993Durbin ( , 1991, whereas some recent extensions and modifications include Pettersson Reif et al (2009), Pettersson Reif, (2006, Laurence et al (2004), Davidson et al (2003), and Lien et al (1998). While this model cannot be classified as a two-equation model for obvious reasons, it retains its larger classification (eddy-viscosity-type model).…”

Section: The K-ε Model and Its Variantsmentioning

confidence: 99%

Application of eddy-viscosity turbulence models to problems in ship hydrodynamics

Terziev

Tezdogan

Incecik

2019

Ships and Offshore Structures

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With the rapid advent of computational methods in all fields of engineering, several areas have emerged as significant sources of ambiguity. Among these is the selection of a turbulence model to close the Reynolds averaged Navier-Stokes equation. In ship hydrodynamics, this has been particularly difficult to resolve due to the complex nature of the problem. Furthermore, there are a wide variety of turbulence models all claiming superiority. Thus, navigating to the correct choice is a subject of experience. The present study aims to alleviate the ambiguity inherent in the field. This is done by performing a series of tests on the turbulence models and comparing the integral outcomes with experimental results. Specifically, shallow water cases are chosen due to the additional layer of complexity associated in the prediction of parameters of interest. The results are analysed via a modified bivariate plot, which reveals a strong candidate for the optimum choice of turbulence modelling. The assessment simultaneously takes into account resistance and sinkage, in addition to consistency across different casestudies. The time per iteration also points towards the same candidate, identified as the standard k-ω model, as a good choice within the software used to perform the analysis. The results also suggest that pressure resistance and its constituent components are not coupled with the turbulence model. On the other hand, frictional resistance is highly dependent on the closure selected and is identified as the main contributor to deviations with regards to experimental values. Abe et al. (1994) proposed a modification of the standard k-ε model, henceforth referred to as 'AKN'

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Section: The K-ε Model and Its Variantsmentioning

confidence: 99%

Application of eddy-viscosity turbulence models to problems in ship hydrodynamics

Terziev

Tezdogan

Incecik

2019

Ships and Offshore Structures

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“…Therefore, this paper aims to answer whether an introduction of the nonlinear stress-strain relationship in the frame of the elliptic relaxation models could provide a more general eddy-viscosity turbulence model (note also that Suga and Abe (2000), introduced the nonlinear cubic model, which includes the transport equation for the third variable, namely the stress flatness parameter, in order to capture the structure of turbulence near shear-free surfaces and walls. See also Durbin (1995) or Pettersson Reif (2006) who used the v 2 -f in conjunction with the quadratic nonlinear terms).…”

Section: Introductionmentioning

confidence: 99%

A nonlinear eddy-viscosity model based on an elliptic relaxation approach

Basara

2009

Fluid Dyn. Res.

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The present paper proposes a nonlinear eddy-viscosity model, which combines an elliptic relaxation concept with the nonlinear stress-strain modelling. The basis model used here is the variant of v 2 -f model, namely ζf model. This recently proposed model essentially improves the numerical robustness over the original v 2 -f model; it is even used as the default turbulence model instead of the standard industrial k-ε model in the in-house commercial computational fluid dynamics (CFD) code, which was applied for all computational work presented here. This paper aims to extend the capability of the ζf model by employing the nonlinear stress-strain relationship including both quadratic and cubic nonlinear terms, and with that, to eliminate deficiencies arising from the linear Boussinesq assumption. The ζf model is applied in conjunction with universal wall treatment, which combines the integration up to the wall with wall functions. Computational results are compared with available experimental data for four different applications: a backward-facing step, a 180 • turn-around duct, a swirling combustor and a three-dimensional (3D) incylinder engine flow. The results obtained clearly show where the main benefits from a more general eddy-viscosity model could be expected.

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A Nonlinear Eddy-Viscosity Model for Near-Wall Turbulence

Reif

Mortensen

2011

ERCOFTAC Series

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Towards a Nonlinear Eddy-Viscosity Model Based on Elliptic Relaxation

Cited by 11 publications

References 24 publications

Application of eddy-viscosity turbulence models to problems in ship hydrodynamics

Application of eddy-viscosity turbulence models to problems in ship hydrodynamics

A nonlinear eddy-viscosity model based on an elliptic relaxation approach

A Nonlinear Eddy-Viscosity Model for Near-Wall Turbulence

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