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Journal of Hydraulic Research Volume 53, 2015 - Issue 2
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Research papers

Modelling roll waves with shallow water equations and turbulent closure

Zhixian CaoProfessor, State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, People's Republic of China; and Professor, Institute for Infrastructure and Environment, Heriot-Watt University, Edinburgh, UKCorrespondence[email protected]
,
Penghui HuPhD Student, State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, People's Republic of China Email: [email protected]
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Kaiheng HuProfessor, Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu, People's Republic of China Email: [email protected]
,
Gareth Pender(IAHR Member), Professor, Institute for Infrastructure and Environment, Heriot-Watt University, Edinburgh, UK; and Visiting Professor, State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, People's Republic of China Email: [email protected]
&
Qingquan LiuProfessor, Institute of Mechanics, Chinese Academy of Sciences, Beijing, People's Republic of China Email: [email protected]
Pages 161-177 | Received 02 Oct 2013, Accepted 25 Jul 2014, Published online: 22 Oct 2014

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Yong Zhang, Matteo Rubinato, Ehsan Kazemi, Jaan H. Pu, Yuefei Huang & Pengzhi Lin. (2019) Numerical and experimental analysis of shallow turbulent flow over complex roughness beds. International Journal of Computational Fluid Dynamics 33:5, pages 202-221.
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Articles from other publishers (36)

G.L. Richard. (2024) Roll waves in a predictive model for open-channel flows in the smooth turbulent case. Journal of Fluid Mechanics 983.
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Shubing Dai, Xinyuan Liu, Kuandi Zhang, Yulei Ma, Hansheng Liu & Sheng Jin. (2024) Numerical study of roll wave development for non-uniform initial conditions using steep slope shallow water equations. Physics of Fluids 36:2.
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Maryam Ziaadini-Dashtekhaki, Mahnaz Ghaeini-Hessaroeyeh & Saleh Hamzehei-Javaran. (2023) Numerical Investigation of Reducing Wave Propagation Hazard Utilizing an Appropriate Vegetation Area. Journal of Earthquake and Tsunami 17:04.
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Josef Adam Giddings, John Billingham & Stephen Michael Cox. (2022) Slugging in horizontal channel flow. IMA Journal of Applied Mathematics 87:5, pages 906-933.
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Valdirene da Rosa RochoGuilherme Henrique Fiorot & Sergio Viçosa Möller. (2022) Influence of the Perturbation Amplitude and the Froude Number on the Establishment Length of Roll Waves. Journal of Engineering Mechanics 148:10.
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Yu QianDavid Z. ZhuBert van Duin. (2022) Design Considerations for High-Speed Flow in Sewer Systems. Journal of Hydraulic Engineering 148:9.
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Chunchen Xia & Haoyong Tian. (2022) A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior. Water 14:9, pages 1369.
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Chenyu Fang, Xuncheng Pan, Bo Zhang, Kuandi Zhang & Xiangru Lv. (2021) An experimental study on the evolution law of roll wave parameters in overland flow. Hydrological Processes 35:11.
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Jingwen Wang, Kuandi Zhang, Pu Li, Yu Meng & Luyou Zhao. (2021) Hydrodynamic characteristics and evolution law of roll waves in overland flow. CATENA 198, pages 105068.
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Gokmen Tayfur. (2021) Empirical, Numerical, and Soft Modelling Approaches for Non-Cohesive Sediment Transport. Environmental Processes 8:1, pages 37-58.
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Dechao Hu, Shiming YaoGuangqian WangDeyu Zhong. (2021) Three-Dimensional Simulation of Scalar Transport in Large Shallow Water Systems Using Flux-Form Eulerian–Lagrangian Method. Journal of Hydraulic Engineering 147:2.
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Xinyi ChenXiaoliang WangQingquan Liu. (2021) Numerical Study of Roll Wave Characteristics Based on Navier-Stokes Equations: A Two-Dimensional Simulation. Journal of Engineering Mechanics 147:2.
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Fabiana de Oliveira Ferreira, Geraldo de Freitas Maciel & João Batista Pereira. (2021) Roll waves and their generation criteria. RBRH 26.
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Hong-jie YAN, He-yang ZHANG, Ya-jun SHI, Ping ZHOU, Huan LI, Dong-ling WU & Liu LIU. (2021) Simulation on release of heavy metals Cd and Pb in sediments. Transactions of Nonferrous Metals Society of China 31:1, pages 277-287.
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Zhixian Cao, Ji Li, Alistair Borthwick, Qingquan Liu & Gareth Pender. (2020) Grain‐energy release governs mobility of debris flow due to solid–liquid mass release. Earth Surface Processes and Landforms 45:12, pages 2912-2926.
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Miao YangJiaguo Gong, Yong ZhaoHao WangXiaohui HeCuiping Zhao. (2020) Evolution Rules of Rolling Waves on Slopes Based on Artificial Flat Slopes of Loess. Journal of Hydrologic Engineering 25:5.
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Ji Li, Zhixian Cao, Yifei Cui & Alistair G.L. Borthwick. (2020) Barrier lake formation due to landslide impacting a river: A numerical study using a double layer-averaged two-phase flow model. Applied Mathematical Modelling 80, pages 574-601.
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Bobby Minola Ginting & Herli Ginting. (2019) Hybrid Artificial Viscosity–Central-Upwind Scheme for Recirculating Turbulent Shallow Water Flows. Journal of Hydraulic Engineering 145:12.
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Yufang NiZhixian CaoQingquan Liu. (2019) Mathematical modeling of shallow-water flows on steep slopes. Journal of Hydrology and Hydromechanics 67:3, pages 252-259.
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Ji Li, Zhixian Cao, Honglu Qian, Qingquan Liu & Gareth Pender. (2019) A depth-averaged two-phase model for fluvial sediment-laden flows over erodible beds. Advances in Water Resources 129, pages 338-353.
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Josef Adam Giddings & John Billingham. (2019) The effect of inclination on the development of slugging in channel flow. IMA Journal of Applied Mathematics 84:2, pages 366-384.
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Dechao Hu, Shiming YaoGeng QuDeyu Zhong. (2019) Flux-Form Eulerian-Lagrangian Method for Solving Advective Transport of Scalars in Free-Surface Flows. Journal of Hydraulic Engineering 145:3.
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Ji Li, Zhixian Cao & Qingquan Liu. (2019) Waves and Sediment Transport Due to Granular Landslides Impacting Reservoirs. Water Resources Research 55:1, pages 495-518.
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Bobby Minola Ginting. (2019) Central-upwind scheme for 2D turbulent shallow flows using high-resolution meshes with scalable wall functions. Computers & Fluids 179, pages 394-421.
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Ji Li, Zhixian Cao, Kaiheng Hu, Gareth Pender & Qingquan Liu. (2018) A depth-averaged two-phase model for debris flows over fixed beds. International Journal of Sediment Research 33:4, pages 462-477.
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Massimo Greco, Michele Iervolino & Andrea Vacca. (2018) Analysis of bedform instability with 1-D two-phase morphodynamical models. Advances in Water Resources 120, pages 50-64.
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Chun-chen Xia, Ji Li, Zhi-xian Cao, Qing-quan Liu & Kai-heng Hu. (2018) A quasi single-phase model for debris flows and its comparison with a two-phase model. Journal of Mountain Science 15:5, pages 1071-1089.
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Yufang Ni, Zhixian Cao, Alistair Borthwick & Qingquan Liu. (2018) Approximate Solutions for Ideal Dam‐Break Sediment‐Laden Flows on Uniform Slopes. Water Resources Research 54:4, pages 2731-2748.
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Ji Li, Zhixian Cao, Kaiheng Hu, Gareth Pender & Qingquan Liu. (2017) A depth‐averaged two‐phase model for debris flows over erodible beds. Earth Surface Processes and Landforms 43:4, pages 817-839.
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Dechao HuYonghui ZhuDeyu ZhongHui Qin. (2017) Two-Dimensional Finite-Volume Eulerian-Lagrangian Method on Unstructured Grid for Solving Advective Transport of Passive Scalars in Free-Surface Flows. Journal of Hydraulic Engineering 143:12.
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G. L. Richard, A. Rambaud & J. P. Vila. (2017) Consistent equations for open-channel flows in the smooth turbulent regime with shearing effects. Journal of Fluid Mechanics 831, pages 289-329.
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Zhixian CaoChunchen XiaGareth PenderQingquan Liu. (2017) Shallow Water Hydro-Sediment-Morphodynamic Equations for Fluvial Processes. Journal of Hydraulic Engineering 143:5.
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Penghui HuZhixian CaoKaiheng HuGareth Pender. (2016) Discussion of “Modeling the Spatial Evolution of Roll Waves with Diffusive Saint Venant Equations” by Ziyi Huang and Jin-Jen Lee. Journal of Hydraulic Engineering 142:9.
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Georges Kesserwani, Siegfried Müller & Daniel Caviedes-Voullième. (2016) Preface Special Issue “Advances in Numerical Modelling of Hydrodynamics”. Applied Mathematical Modelling 40:17-18, pages 7424-7426.
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Patricio Bohorquez & Christophe Ancey. (2016) Particle diffusion in non-equilibrium bedload transport simulations. Applied Mathematical Modelling 40:17-18, pages 7474-7492.
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Patricio Bohorquez & Christophe Ancey. (2015) Stochastic-deterministic modeling of bed load transport in shallow water flow over erodible slope: Linear stability analysis and numerical simulation. Advances in Water Resources 83, pages 36-54.
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