A new non-linear RANS model with enhanced near-wall treatment of turbulence anisotropy

Hasna Nur Fadhila; Humberto Medina; Svetlana Aleksandrova; Stephen Benjamin

doi:10.1016/j.apm.2020.01.056

A new non-linear RANS model with enhanced near-wall treatment of turbulence anisotropy

Hasna Nur Fadhila, Humberto Medina, Svetlana Aleksandrova, Stephen Benjamin

College of Engineering, Environment & Science

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

209 Downloads (Pure)

Abstract

A new ω-based non-linear eddy-viscosity model is proposed. It was developed based on the original k -ω model and formulated using a quadratic stress-strain relation for the Reynolds stress tensor, with an added realisability condition. For enhanced treatment of nearwall turbulence anisotropy, a formulation that scales only with the turbulent Reynolds number is proposed for the first time. The new model has been implemented in the open-source Computational Fluid Dynamics (CFD) package OpenFOAM and validated against plane channel flow, a zero-pressure-gradient flat plate, and a U-bend curved channel configuration. To
further assess the performance of the model for more complex geometries, it has been tested on configurations relevant to automotive applications. Overall, the new model outperforms the standard k - ω model. For example, on a curved channel, improved predictions for the minimum pressure and maximum skin friction of approximately 50% are obtained. Improved predictions are also obtained for quantities of practical engineering relevance, such as the pressure distribution along the wall of a sudden expansion diffuser, a configuration used to inform the design of automotive exhaust systems. This demonstrates that the proposed model has important practical applications for internal flows where anisotropic turbulence effects dominate.

Original language	English
Pages (from-to)	293-313
Number of pages	21
Journal	Applied Mathematical Modelling
Volume	82
Early online date	28 Jan 2020
DOIs	https://doi.org/10.1016/j.apm.2020.01.056
Publication status	Published - 1 Jun 2020

Bibliographical note

NOTICE: this is the author’s version of a work that was accepted for publication in Applied Mathematical Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Mathematical Modelling, 82, (2020) DOI: 10.1016/j.apm.2020.01.056

© 2020, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

Keywords

Turbulence
OpenFOAM
Anisotropy
Swirling flow
Catalyst
Modelling
CFD

ASJC Scopus subject areas

Automotive Engineering
Mechanical Engineering
Fluid Flow and Transfer Processes
Modelling and Simulation

Access to Document

10.1016/j.apm.2020.01.056

Post-PrintAccepted author manuscript, 1.3 MBLicence: CC BY-NC-ND

Cite this

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title = "A new non-linear RANS model with enhanced near-wall treatment of turbulence anisotropy",

abstract = "A new ω-based non-linear eddy-viscosity model is proposed. It was developed based on the original k -ω model and formulated using a quadratic stress-strain relation for the Reynolds stress tensor, with an added realisability condition. For enhanced treatment of nearwall turbulence anisotropy, a formulation that scales only with the turbulent Reynolds number is proposed for the first time. The new model has been implemented in the open-source Computational Fluid Dynamics (CFD) package OpenFOAM and validated against plane channel flow, a zero-pressure-gradient flat plate, and a U-bend curved channel configuration. Tofurther assess the performance of the model for more complex geometries, it has been tested on configurations relevant to automotive applications. Overall, the new model outperforms the standard k - ω model. For example, on a curved channel, improved predictions for the minimum pressure and maximum skin friction of approximately 50% are obtained. Improved predictions are also obtained for quantities of practical engineering relevance, such as the pressure distribution along the wall of a sudden expansion diffuser, a configuration used to inform the design of automotive exhaust systems. This demonstrates that the proposed model has important practical applications for internal flows where anisotropic turbulence effects dominate.",

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author = "Fadhila, {Hasna Nur} and Humberto Medina and Svetlana Aleksandrova and Stephen Benjamin",

note = "NOTICE: this is the author{\textquoteright}s version of a work that was accepted for publication in Applied Mathematical Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Mathematical Modelling, 82, (2020) DOI: 10.1016/j.apm.2020.01.056 {\textcopyright} 2020, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ ",

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AU - Aleksandrova, Svetlana

AU - Benjamin, Stephen

N1 - NOTICE: this is the author’s version of a work that was accepted for publication in Applied Mathematical Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Mathematical Modelling, 82, (2020) DOI: 10.1016/j.apm.2020.01.056 © 2020, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

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N2 - A new ω-based non-linear eddy-viscosity model is proposed. It was developed based on the original k -ω model and formulated using a quadratic stress-strain relation for the Reynolds stress tensor, with an added realisability condition. For enhanced treatment of nearwall turbulence anisotropy, a formulation that scales only with the turbulent Reynolds number is proposed for the first time. The new model has been implemented in the open-source Computational Fluid Dynamics (CFD) package OpenFOAM and validated against plane channel flow, a zero-pressure-gradient flat plate, and a U-bend curved channel configuration. Tofurther assess the performance of the model for more complex geometries, it has been tested on configurations relevant to automotive applications. Overall, the new model outperforms the standard k - ω model. For example, on a curved channel, improved predictions for the minimum pressure and maximum skin friction of approximately 50% are obtained. Improved predictions are also obtained for quantities of practical engineering relevance, such as the pressure distribution along the wall of a sudden expansion diffuser, a configuration used to inform the design of automotive exhaust systems. This demonstrates that the proposed model has important practical applications for internal flows where anisotropic turbulence effects dominate.

AB - A new ω-based non-linear eddy-viscosity model is proposed. It was developed based on the original k -ω model and formulated using a quadratic stress-strain relation for the Reynolds stress tensor, with an added realisability condition. For enhanced treatment of nearwall turbulence anisotropy, a formulation that scales only with the turbulent Reynolds number is proposed for the first time. The new model has been implemented in the open-source Computational Fluid Dynamics (CFD) package OpenFOAM and validated against plane channel flow, a zero-pressure-gradient flat plate, and a U-bend curved channel configuration. Tofurther assess the performance of the model for more complex geometries, it has been tested on configurations relevant to automotive applications. Overall, the new model outperforms the standard k - ω model. For example, on a curved channel, improved predictions for the minimum pressure and maximum skin friction of approximately 50% are obtained. Improved predictions are also obtained for quantities of practical engineering relevance, such as the pressure distribution along the wall of a sudden expansion diffuser, a configuration used to inform the design of automotive exhaust systems. This demonstrates that the proposed model has important practical applications for internal flows where anisotropic turbulence effects dominate.

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KW - Catalyst

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JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

ER -

A new non-linear RANS model with enhanced near-wall treatment of turbulence anisotropy

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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