Large Eddy Simulation of Near-Bed Flow and Turbulence over Roughness Elements in the Shallow Open-Channel

Turbulent flows in rough open-channels have complex structures near the channel-bed. The near-bed flow can cause bed erosion, channel instability, and damages to fish habitats. This paper aims to improve our understanding of the structures. Transverse square bars placed at the channel-bed form two-d...

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Main Authors: Zeng Zhang, S. Samuel Li
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/12/10/2701
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author Zeng Zhang
S. Samuel Li
author_facet Zeng Zhang
S. Samuel Li
author_sort Zeng Zhang
collection DOAJ
description Turbulent flows in rough open-channels have complex structures near the channel-bed. The near-bed flow can cause bed erosion, channel instability, and damages to fish habitats. This paper aims to improve our understanding of the structures. Transverse square bars placed at the channel-bed form two-dimensional roughness elements. Turbulent flows over the bars are predicted using large eddy simulation (LES). The predicted flow quantities compare well with experimental data. The LES model predicts mean-flow velocity profiles that resemble those in the classic turbulent boundary layer over a flat plate and profiles that change patterns in the vicinity of roughness elements, depending on the pitch-to-roughness height ratio <inline-formula><math display="inline"><semantics><mrow><mi>λ</mi><mo>/</mo><mi>k</mi></mrow></semantics></math></inline-formula>. The relative turbulence intensity and normalized Reynolds shear stress reach maxima of 15% and 1.2%, respectively, at <inline-formula><math display="inline"><semantics><mrow><mi>λ</mi><mo>/</mo><mi>k</mi></mrow></semantics></math></inline-formula> = 8, compared to 9% and 0.2% at <inline-formula><math display="inline"><semantics><mrow><mi>λ</mi><mo>/</mo><mi>k</mi></mrow></semantics></math></inline-formula> = 2. The predicted bottom boundary layers constitute a large portion of the total depth, indicating roughness effect on the flow throughout the water column. Fluid exchange between the roughness cavity and outer region occurs due to turbulence fluctuations. The fluctuations increase in intensity with increasing <inline-formula><math display="inline"><semantics><mrow><mi>λ</mi><mo>/</mo><mi>k</mi></mrow></semantics></math></inline-formula> ratio. This ratio dictates the number of eddies in the cavity as well as their locations and shapes. It also controls turbulence stress distributions. LES can be used to explore strategies for erosion control, channel restoration, and habitat protection.
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spelling doaj.art-8dba5dead676488391b55c81238a8d5a2023-11-20T15:17:07ZengMDPI AGWater2073-44412020-09-011210270110.3390/w12102701Large Eddy Simulation of Near-Bed Flow and Turbulence over Roughness Elements in the Shallow Open-ChannelZeng Zhang0S. Samuel Li1Department of Building, Civil and Environmental Engineering, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, QC H3G 1M8, CanadaDepartment of Building, Civil and Environmental Engineering, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, QC H3G 1M8, CanadaTurbulent flows in rough open-channels have complex structures near the channel-bed. The near-bed flow can cause bed erosion, channel instability, and damages to fish habitats. This paper aims to improve our understanding of the structures. Transverse square bars placed at the channel-bed form two-dimensional roughness elements. Turbulent flows over the bars are predicted using large eddy simulation (LES). The predicted flow quantities compare well with experimental data. The LES model predicts mean-flow velocity profiles that resemble those in the classic turbulent boundary layer over a flat plate and profiles that change patterns in the vicinity of roughness elements, depending on the pitch-to-roughness height ratio <inline-formula><math display="inline"><semantics><mrow><mi>λ</mi><mo>/</mo><mi>k</mi></mrow></semantics></math></inline-formula>. The relative turbulence intensity and normalized Reynolds shear stress reach maxima of 15% and 1.2%, respectively, at <inline-formula><math display="inline"><semantics><mrow><mi>λ</mi><mo>/</mo><mi>k</mi></mrow></semantics></math></inline-formula> = 8, compared to 9% and 0.2% at <inline-formula><math display="inline"><semantics><mrow><mi>λ</mi><mo>/</mo><mi>k</mi></mrow></semantics></math></inline-formula> = 2. The predicted bottom boundary layers constitute a large portion of the total depth, indicating roughness effect on the flow throughout the water column. Fluid exchange between the roughness cavity and outer region occurs due to turbulence fluctuations. The fluctuations increase in intensity with increasing <inline-formula><math display="inline"><semantics><mrow><mi>λ</mi><mo>/</mo><mi>k</mi></mrow></semantics></math></inline-formula> ratio. This ratio dictates the number of eddies in the cavity as well as their locations and shapes. It also controls turbulence stress distributions. LES can be used to explore strategies for erosion control, channel restoration, and habitat protection.https://www.mdpi.com/2073-4441/12/10/2701wall turbulencesurface roughnesslarge eddy simulationnear-bed flowturbulence shear stress<i>k</i>-type roughness
spellingShingle Zeng Zhang
S. Samuel Li
Large Eddy Simulation of Near-Bed Flow and Turbulence over Roughness Elements in the Shallow Open-Channel
Water
wall turbulence
surface roughness
large eddy simulation
near-bed flow
turbulence shear stress
<i>k</i>-type roughness
title Large Eddy Simulation of Near-Bed Flow and Turbulence over Roughness Elements in the Shallow Open-Channel
title_full Large Eddy Simulation of Near-Bed Flow and Turbulence over Roughness Elements in the Shallow Open-Channel
title_fullStr Large Eddy Simulation of Near-Bed Flow and Turbulence over Roughness Elements in the Shallow Open-Channel
title_full_unstemmed Large Eddy Simulation of Near-Bed Flow and Turbulence over Roughness Elements in the Shallow Open-Channel
title_short Large Eddy Simulation of Near-Bed Flow and Turbulence over Roughness Elements in the Shallow Open-Channel
title_sort large eddy simulation of near bed flow and turbulence over roughness elements in the shallow open channel
topic wall turbulence
surface roughness
large eddy simulation
near-bed flow
turbulence shear stress
<i>k</i>-type roughness
url https://www.mdpi.com/2073-4441/12/10/2701
work_keys_str_mv AT zengzhang largeeddysimulationofnearbedflowandturbulenceoverroughnesselementsintheshallowopenchannel
AT ssamuelli largeeddysimulationofnearbedflowandturbulenceoverroughnesselementsintheshallowopenchannel