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Journal of Hydraulic Research Volume 40, 2002 - Issue 5
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Original Articles

Roll waves simulation using shallow water equations and Weighted Average Flux method

Barbara Zanuttigh PhD University of Bologna, DISTART Idraulica, Viale Risorgimento 2, 40136, Bologna, Italy Phone: +39 0512093754 Fax: +39 0512093754 E-mail: [email protected]
&
Alberto Lamberti University of Bologna, DISTART Idraulica, Viale Risorgimento 2, 40136, Bologna, Italy
Pages 610-622 | Received 21 Jun 2001, Published online: 01 Feb 2010

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Zhixian Cao, Penghui Hu, Kaiheng Hu, Gareth Pender & Qingquan Liu. (2015) Modelling roll waves with shallow water equations and turbulent closure. Journal of Hydraulic Research 53:2, pages 161-177.
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C. Di Cristo, M. Iervolino, A. Vacca & B. Zanuttigh. (2008) Minimum channel length for roll-wave generation. Journal of Hydraulic Research 46:1, pages 73-79.
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Articles from other publishers (33)

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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Boyuan Yu & Vincent H. Chu. (2023) Impact force of roll waves against obstacles. Journal of Fluid Mechanics 969.
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Andrea Maranzoni & Massimo Tomirotti. (2023) New formulation of the two-dimensional steep-slope shallow water equations. Part II: Numerical modeling, validation, and application. Advances in Water Resources 177, pages 104403.
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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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Boyuan Yu & Vincent H. Chu. (2021) The front runner in roll waves produced by local disturbances. Journal of Fluid Mechanics 932.
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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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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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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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K.A. Ivanova, S.L. Gavrilyuk, B. Nkonga & G.L. Richard. (2017) Formation and coarsening of roll-waves in shear shallow water flows down an inclined rectangular channel. Computers & Fluids 159, pages 189-203.
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G. F. MacielF. O. FerreiraE. F. CunhaG. H. Fiorot. (2017) Experimental Apparatus for Roll-Wave Measurements and Comparison with a 1D Mathematical Model. Journal of Hydraulic Engineering 143:11.
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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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Chunhong Zhao, Jian'en Gao, Mengjie Zhang, Tong Zhang & Fei Wang. (2015) Response of roll wave to suspended load and hydraulics of overland flow on steep slope. CATENA 133, pages 394-402.
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Ziyi HuangJiin-Jen Lee. (2015) Modeling the Spatial Evolution of Roll Waves with Diffusive Saint Venant Equations. Journal of Hydraulic Engineering 141:2.
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Ziyi HuangJiin-Jen Lee. (2015) Numerical Investigation on Roll-Wave Properties: Wave–Wave Interactions, Generality, and Spectrum. Journal of Engineering Mechanics 141:2.
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M. Arai, J. Huebl & R. Kaitna. (2013) Occurrence conditions of roll waves for three grain–fluid models and comparison with results from experiments and field observation. Geophysical Journal International 195:3, pages 1464-1480.
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K. A. Ogden, S. J. D. D’Alessio & J. P. Pascal. (2011) Gravity-driven flow over heated, porous, wavy surfaces. Physics of Fluids 23:12.
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S. J. D. D'ALESSIO, J. P. PASCAL, H. A. JASMINE & K. A. OGDEN. (2010) Film flow over heated wavy inclined surfaces. Journal of Fluid Mechanics 665, pages 418-456.
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J.P. Pascal & S.J.D. D’Alessio. (2010) Instability in gravity-driven flow over uneven permeable surfaces. International Journal of Multiphase Flow 36:6, pages 449-459.
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Cristiana Di CristoMichele IervolinoAndrea VaccaBarbara Zanuttigh. (2010) Influence of Relative Roughness and Reynolds Number on the Roll-Waves Spatial Evolution. Journal of Hydraulic Engineering 136:1, pages 24-33.
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Cristiana Di Cristo, Michele Iervolino, Andrea Vacca & Barbara Zanuttigh. (2009) Roll-waves prediction in dense granular flows. Journal of Hydrology 377:1-2, pages 50-58.
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S.N. Prasad, Madhu R. Suryadevara & M.J.M. Römkens. (2009) Grain transport mechanics in shallow overland flow. Ecohydrology 2:3, pages 248-256.
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P. Bohorquez & R. Fernandez‐Feria. (2007) Transport of suspended sediment under the dam‐break flow on an inclined plane bed of arbitrary slope. Hydrological Processes 22:14, pages 2615-2633.
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Dae-Hong KimYong-Sik ChoHyung-Jun Kim. (2008) Well-Balanced Scheme between Flux and Source Terms for Computation of Shallow-Water Equations over Irregular Bathymetry. Journal of Engineering Mechanics 134:4, pages 277-290.
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Barbara Zanuttigh & Alberto Lamberti. (2007) Instability and surge development in debris flows. Reviews of Geophysics 45:3.
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J.P. Pascal & S.J.D. D’Alessio. (2007) Instability of power-law fluid flows down an incline subjected to wind stress. Applied Mathematical Modelling 31:7, pages 1229-1248.
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Arturo S. León, Mohamed S. Ghidaoui, Arthur R. Schmidt & Marcelo H. García. (2006) Godunov-Type Solutions for Transient Flows in Sewers. Journal of Hydraulic Engineering 132:8, pages 800-813.
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J.P. Pascal. (2006) Instability of power-law fluid flow down a porous incline. Journal of Non-Newtonian Fluid Mechanics 133:2-3, pages 109-120.
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Q. Q. LiuL. ChenJ. C. LiVijay P. Singh. (2005) Roll Waves in Overland Flow. Journal of Hydrologic Engineering 10:2, pages 110-117.
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Barbara ZanuttighAlberto Lamberti. (2004) Analysis of Debris Wave Development with One-Dimensional Shallow-Water Equations. Journal of Hydraulic Engineering 130:4, pages 293-304.
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. (2003) Current awareness. Hydrological Processes 17:16, pages 3379-3381.
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