Double-averaged kinetic energy budgets in flows over mobile granular beds: insights from DNS data analysis

Konstantinos Papadopoulos; Vladimir Nikora; Bernhard  Vowinckel; Stuart Cameron; Ramandeep Jain; Mark Stewart; Christopher Gibbins; Jochen Fröhlich

doi:10.1080/00221686.2019.1661291

Double-averaged kinetic energy budgets in flows over mobile granular beds: insights from DNS data analysis

Konstantinos Papadopoulos^* (Corresponding Author), Vladimir Nikora, Bernhard Vowinckel, Stuart Cameron, Ramandeep Jain, Mark Stewart, Christopher Gibbins, Jochen Fröhlich

^*Corresponding author for this work

Engineering

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Abstract

The equations for double-mean, form-induced and spatially averaged turbulent energy budgets are employed to analyse data from direct numerical simulations of turbulent open-channel flows over transitionally rough mobile beds with intermediate flow submergence. Two scenarios were considered related to (i) near-critical bed condition, and (ii) fully mobile bed condition. The bed was composed of a layer of mobile spherical particles moving on the top of one layer of fixed particles of the same size. Data analysis showed the leading energy exchanges between double-mean, form-induced, turbulent flow field contributions as well as particle motions. Above the fixed particles tops, the turbulent flow receives kinetic energy directly from the mean flow as well as from moving bed particles, which in turn also receive energy from the mean flow. For near-critical bed condition, particle aggregations enhanced mean-flow heterogeneity, strengthened turbulent stresses and their effects on the flow, while at increased bed-mobility, energy transport mechanisms became weaker and conversions induced by viscous stresses and pressure became stronger.

Original language	English
Pages (from-to)	653-672
Number of pages	20
Journal	Journal of Hydraulic Research
Volume	58
Issue number	4
Early online date	8 Nov 2019
DOIs	https://doi.org/10.1080/00221686.2019.1661291
Publication status	Published - Nov 2019

Bibliographical note

Acknowledgments
The authors gratefully acknowledge the Centre for Information Services and High Performance Computing (ZIH), Dresden, the Jülich Supercomputing Centre (JSC) and the High Performance Computing Service (Maxwell) of the University of Aberdeen for providing computing time. The authors would like to thank Professor Francesco Ballio and two anonymous reviewers for their helpful comments that contributed to improving the final version of this manuscript.

Funding
This study was part of the research project “Hydrodynamic Transport in Ecologically Critical Heterogeneous interfaces” (HYTECH), the support of which, under the European Union's Seventh Framework Programme (Marie Curie PFP7-PEOPLE-2012-ITN, European Commission [grant agreement number 316546]), is gratefully acknowledged. Financial support was also provided by the grantsp3 10.13039/501100000266 Engineering and Physical Sciences Research Council (EPSRC), UK, [grant EP/K041088/1] and the German Research Foundation (DFG), [project FR 1593/5-2]. B. Vowinckel and R. Jain gratefully acknowledge the scholarships respectfully provided by the Alexander von Humboldt Foundation and Saxon Scholarship Program, Germany.

Keywords

Double-averaging methodology
flow–sediment interactions
mean kinetic energy balance
mobile-granular beds
turbulent kinetic energy
turbulent open-channel flows
sediment transport
overland flows
simulation
flow-sediment interactions
turbulence
open-channel
immersed boundary method

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10.1080/00221686.2019.1661291Licence: CC BY

Papadopoulos_etal_JHR_Double_averaged_VOR
© 2019 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Final published version, 2.99 MBLicence: CC BY

Cite this

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title = "Double-averaged kinetic energy budgets in flows over mobile granular beds: insights from DNS data analysis",

abstract = "The equations for double-mean, form-induced and spatially averaged turbulent energy budgets are employed to analyse data from direct numerical simulations of turbulent open-channel flows over transitionally rough mobile beds with intermediate flow submergence. Two scenarios were considered related to (i) near-critical bed condition, and (ii) fully mobile bed condition. The bed was composed of a layer of mobile spherical particles moving on the top of one layer of fixed particles of the same size. Data analysis showed the leading energy exchanges between double-mean, form-induced, turbulent flow field contributions as well as particle motions. Above the fixed particles tops, the turbulent flow receives kinetic energy directly from the mean flow as well as from moving bed particles, which in turn also receive energy from the mean flow. For near-critical bed condition, particle aggregations enhanced mean-flow heterogeneity, strengthened turbulent stresses and their effects on the flow, while at increased bed-mobility, energy transport mechanisms became weaker and conversions induced by viscous stresses and pressure became stronger.",

keywords = "Double-averaging methodology, flow–sediment interactions, mean kinetic energy balance, mobile-granular beds, turbulent kinetic energy, turbulent open-channel flows, sediment transport, overland flows, simulation, flow-sediment interactions, turbulence, open-channel, immersed boundary method",

author = "Konstantinos Papadopoulos and Vladimir Nikora and Bernhard Vowinckel and Stuart Cameron and Ramandeep Jain and Mark Stewart and Christopher Gibbins and Jochen Fr{\"o}hlich",

note = "Acknowledgments The authors gratefully acknowledge the Centre for Information Services and High Performance Computing (ZIH), Dresden, the J{\"u}lich Supercomputing Centre (JSC) and the High Performance Computing Service (Maxwell) of the University of Aberdeen for providing computing time. The authors would like to thank Professor Francesco Ballio and two anonymous reviewers for their helpful comments that contributed to improving the final version of this manuscript. Funding This study was part of the research project “Hydrodynamic Transport in Ecologically Critical Heterogeneous interfaces” (HYTECH), the support of which, under the European Union's Seventh Framework Programme (Marie Curie PFP7-PEOPLE-2012-ITN, European Commission [grant agreement number 316546]), is gratefully acknowledged. Financial support was also provided by the grantsp3 10.13039/501100000266 Engineering and Physical Sciences Research Council (EPSRC), UK, [grant EP/K041088/1] and the German Research Foundation (DFG), [project FR 1593/5-2]. B. Vowinckel and R. Jain gratefully acknowledge the scholarships respectfully provided by the Alexander von Humboldt Foundation and Saxon Scholarship Program, Germany.",

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language = "English",

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T1 - Double-averaged kinetic energy budgets in flows over mobile granular beds

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AU - Papadopoulos, Konstantinos

AU - Nikora, Vladimir

AU - Vowinckel, Bernhard

AU - Cameron, Stuart

AU - Jain, Ramandeep

AU - Stewart, Mark

AU - Gibbins, Christopher

AU - Fröhlich, Jochen

N1 - Acknowledgments The authors gratefully acknowledge the Centre for Information Services and High Performance Computing (ZIH), Dresden, the Jülich Supercomputing Centre (JSC) and the High Performance Computing Service (Maxwell) of the University of Aberdeen for providing computing time. The authors would like to thank Professor Francesco Ballio and two anonymous reviewers for their helpful comments that contributed to improving the final version of this manuscript. Funding This study was part of the research project “Hydrodynamic Transport in Ecologically Critical Heterogeneous interfaces” (HYTECH), the support of which, under the European Union's Seventh Framework Programme (Marie Curie PFP7-PEOPLE-2012-ITN, European Commission [grant agreement number 316546]), is gratefully acknowledged. Financial support was also provided by the grantsp3 10.13039/501100000266 Engineering and Physical Sciences Research Council (EPSRC), UK, [grant EP/K041088/1] and the German Research Foundation (DFG), [project FR 1593/5-2]. B. Vowinckel and R. Jain gratefully acknowledge the scholarships respectfully provided by the Alexander von Humboldt Foundation and Saxon Scholarship Program, Germany.

PY - 2019/11

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N2 - The equations for double-mean, form-induced and spatially averaged turbulent energy budgets are employed to analyse data from direct numerical simulations of turbulent open-channel flows over transitionally rough mobile beds with intermediate flow submergence. Two scenarios were considered related to (i) near-critical bed condition, and (ii) fully mobile bed condition. The bed was composed of a layer of mobile spherical particles moving on the top of one layer of fixed particles of the same size. Data analysis showed the leading energy exchanges between double-mean, form-induced, turbulent flow field contributions as well as particle motions. Above the fixed particles tops, the turbulent flow receives kinetic energy directly from the mean flow as well as from moving bed particles, which in turn also receive energy from the mean flow. For near-critical bed condition, particle aggregations enhanced mean-flow heterogeneity, strengthened turbulent stresses and their effects on the flow, while at increased bed-mobility, energy transport mechanisms became weaker and conversions induced by viscous stresses and pressure became stronger.

AB - The equations for double-mean, form-induced and spatially averaged turbulent energy budgets are employed to analyse data from direct numerical simulations of turbulent open-channel flows over transitionally rough mobile beds with intermediate flow submergence. Two scenarios were considered related to (i) near-critical bed condition, and (ii) fully mobile bed condition. The bed was composed of a layer of mobile spherical particles moving on the top of one layer of fixed particles of the same size. Data analysis showed the leading energy exchanges between double-mean, form-induced, turbulent flow field contributions as well as particle motions. Above the fixed particles tops, the turbulent flow receives kinetic energy directly from the mean flow as well as from moving bed particles, which in turn also receive energy from the mean flow. For near-critical bed condition, particle aggregations enhanced mean-flow heterogeneity, strengthened turbulent stresses and their effects on the flow, while at increased bed-mobility, energy transport mechanisms became weaker and conversions induced by viscous stresses and pressure became stronger.

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KW - turbulent open-channel flows

KW - sediment transport

KW - overland flows

KW - simulation

KW - flow-sediment interactions

KW - turbulence

KW - open-channel

KW - immersed boundary method

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DO - 10.1080/00221686.2019.1661291

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EP - 672

JO - Journal of Hydraulic Research

JF - Journal of Hydraulic Research

IS - 4

ER -

Double-averaged kinetic energy budgets in flows over mobile granular beds: insights from DNS data analysis

Abstract

Bibliographical note

Keywords

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Mark Stewart

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Double-averaged kinetic energy budgets in flows over mobile granular beds: insights from DNS data analysis

Abstract

Bibliographical note

Keywords

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Mark Stewart

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