Adding a simple production term to Reynolds-averaged Navier-Stokes turbulence models for flows over two-dimensional hills

We consider an additional production term for the k , ϵ turbulence model that is activated by curvature, for turbulent flow over two-dimensional hills of varying steepness. The new term depends on the difference between the strain rate, S, and the rotation, R, which we refer to as the “SR” modificat...

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Main Authors: Mohamed, Mohamed Arif, Wood, David, Ng, Bing Feng
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2023
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Online Access:https://hdl.handle.net/10356/171390
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1713902023-10-28T16:47:49Z Adding a simple production term to Reynolds-averaged Navier-Stokes turbulence models for flows over two-dimensional hills Mohamed, Mohamed Arif Wood, David Ng, Bing Feng School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Atmospheric Boundary-layer Eddy Viscosity Model We consider an additional production term for the k , ϵ turbulence model that is activated by curvature, for turbulent flow over two-dimensional hills of varying steepness. The new term depends on the difference between the strain rate, S, and the rotation, R, which we refer to as the “SR” modification. It is compared to the standard k , ϵ turbulence model, the Kato-Launder model, and the re-normalization group and realizable versions of the k , ϵ model. The Kato-Launder model showed the best overall predictions for mean velocity, turbulent kinetic energy, and Reynolds shear stress at most locations before, on, and after the crest of the hills. The SR model was slightly less accurate but uniquely predicted the flow separation in the lee of the steeper hill and was also correctly predicted the flow re-attachment point. This study demonstrates the importance of including a curvature production term in k-ϵ-based models for flows over hills. Nanyang Technological University Published version The first and last authors acknowledge the grants by Nanyang Technological University (Nos. 04INS000329C160 and 04INS000453C160). D.W.'s work was supported by a special grant from the Vice President, Research, University of Calgary. 2023-10-24T01:31:02Z 2023-10-24T01:31:02Z 2023 Journal Article Mohamed, M. A., Wood, D. & Ng, B. F. (2023). Adding a simple production term to Reynolds-averaged Navier-Stokes turbulence models for flows over two-dimensional hills. Physics of Fluids, 35(6), 065135-. https://dx.doi.org/10.1063/5.0151320 1070-6631 https://hdl.handle.net/10356/171390 10.1063/5.0151320 2-s2.0-85163752540 6 35 065135 en 04INS000329C160 04INS000453C160 Physics of Fluids © 2023 The Author(s). Published under an exclusive license by AIP Publishing. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1063/5.0151320 or URL link. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Mechanical engineering
Atmospheric Boundary-layer
Eddy Viscosity Model
spellingShingle Engineering::Mechanical engineering
Atmospheric Boundary-layer
Eddy Viscosity Model
Mohamed, Mohamed Arif
Wood, David
Ng, Bing Feng
Adding a simple production term to Reynolds-averaged Navier-Stokes turbulence models for flows over two-dimensional hills
description We consider an additional production term for the k , ϵ turbulence model that is activated by curvature, for turbulent flow over two-dimensional hills of varying steepness. The new term depends on the difference between the strain rate, S, and the rotation, R, which we refer to as the “SR” modification. It is compared to the standard k , ϵ turbulence model, the Kato-Launder model, and the re-normalization group and realizable versions of the k , ϵ model. The Kato-Launder model showed the best overall predictions for mean velocity, turbulent kinetic energy, and Reynolds shear stress at most locations before, on, and after the crest of the hills. The SR model was slightly less accurate but uniquely predicted the flow separation in the lee of the steeper hill and was also correctly predicted the flow re-attachment point. This study demonstrates the importance of including a curvature production term in k-ϵ-based models for flows over hills.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Mohamed, Mohamed Arif
Wood, David
Ng, Bing Feng
format Article
author Mohamed, Mohamed Arif
Wood, David
Ng, Bing Feng
author_sort Mohamed, Mohamed Arif
title Adding a simple production term to Reynolds-averaged Navier-Stokes turbulence models for flows over two-dimensional hills
title_short Adding a simple production term to Reynolds-averaged Navier-Stokes turbulence models for flows over two-dimensional hills
title_full Adding a simple production term to Reynolds-averaged Navier-Stokes turbulence models for flows over two-dimensional hills
title_fullStr Adding a simple production term to Reynolds-averaged Navier-Stokes turbulence models for flows over two-dimensional hills
title_full_unstemmed Adding a simple production term to Reynolds-averaged Navier-Stokes turbulence models for flows over two-dimensional hills
title_sort adding a simple production term to reynolds-averaged navier-stokes turbulence models for flows over two-dimensional hills
publishDate 2023
url https://hdl.handle.net/10356/171390
_version_ 1781793740709429248