Dam-break waves over an erodible embankment: experiments and simulations

References

• Aureli, F., Dazzi, S., Maranzoni, A., Mignosa, P., & Vacondio, R. (2015). Experimental and numerical evaluation of the force due to the impact of a dam-break wave on a structure. Advances in Water Resources, 76, 29–42. doi: 10.1016/j.advwatres.2014.11.009
   Web of Science ®Google Scholar
• Balmforth, N. J., & Kerswell, R. R. (2005). Granular collapse in two dimensions. Journal of Fluid Mechanics, 538, 399–428. doi: 10.1017/S0022112005005537
   Web of Science ®Google Scholar
• Barth, T. J., & Jespersen, D. C. (1989). The design and application of upwind schemes on unstructured meshes. AIAA paper 89-0366. doi: 10.2514/6.1989-366
   Google Scholar
• Bukreev, V. I. (2009). Force action of discontinuous waves on a vertical wall. Journal of Applied Mechanics and Technical Physics, 50(2), 278–283. doi: 10.1007/s10808-009-0037-7
   Web of Science ®Google Scholar
• Cao, Z., Day, R., & Egashira, S. (2002). Coupled and decoupled numerical modeling of flow and morphological evolution in alluvial rivers. Journal of Hydraulic Engineering, 128(3), 306–321. doi: 10.1061/(ASCE)0733-9429(2002)128:3(306)
   Web of Science ®Google Scholar
• Cao, Z., Yue, Z., & Pender, G. (2011). Landslide dam failure and flood hydraulics. Part II: Coupled mathematical modelling. Natural Hazards, 59(2), 1021–1045., doi: 10.1007/s11069-011-9815-7
   Web of Science ®Google Scholar
• Capart, H., & Young, D. (2002). Two-layer shallow water computations of torrential geomorphic flows. In D. Bousmar & Y. Zech (Eds.), River flow 2002 – proceedings of the international conference on fluvial hydraulics (pp. 1002–1012). Lisse: Swets & Zeitlinger.
   Google Scholar
• Delis, A. I., Nikolos, I. K., & Kazolea, M. (2011). An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topography. Archives of Computational Methods in Engineering, 18, 57–118. doi: 10.1007/s11831-011-9057-6
   Web of Science ®Google Scholar
• Dewals, B., Rulot, F., Erpicum, S., Archambeau, P., & Pirotton, M. (2011). Advanced topics in sediment transport modelling: Non-alluvial beds and hyperconcentrated flows, sediment transport. Intech. Retrieved from http://www.intechopen.com/books/sediment-transport/advanced-topics-in-sediment-transport-modelling-non-alluvial-beds-and-hyperconcentrated-flows. doi: 10.5772/15025
   Google Scholar
• Di Cristo, C., Greco, M., Iervolino, M., Leopardi, A., & Vacca, A. (2016). Two-dimensional two-phase depth-integrated model for transients over mobile bed. Journal of Hydraulic Engineering, 142(2), 04015043. doi: 10.1061/(ASCE)HY.1943-7900.0001024
   Web of Science ®Google Scholar
• Di Cristo, C., Iervolino, M., & Vacca, A. (2006). Linear stability analysis of a 1-D model with dynamical description of bed-load transport. Journal of Hydraulic Research, 44(4), 480–487. doi: 10.1080/00221686.2006.9521699
   Web of Science ®Google Scholar
• El Kadi Abderrezzak, K., Paquier, A., & Mignot, E. (2009). Modelling flash flood propagation in urban areas using a two-dimensional numerical model. Natural Hazards, 50, 433–460. doi: 10.1007/s11069-008-9300-0
   Web of Science ®Google Scholar
• Evangelista, S. (2015). Experiments and numerical simulations of dike erosion due to a wave impact. Water, MDPI, 7(10), 5831–5848. doi: 10.3390/w7105831
   Web of Science ®Google Scholar
• Evangelista, S., Greco, M., Iervolino, M., Leopardi, A., & Vacca, A. (2015). A new algorithm for bank-failure mechanisms in 2D morphodynamic models with unstructured grids. International Journal of Sediment Research, 30(4), 382–391. doi: 10.1016/j.ijsrc.2014.11.003
   Web of Science ®Google Scholar
• Garegnani, G., Rosatti, G., & Bonaventura, L. (2011). Free surface flows over mobile bed: Mathematical analysis and numerical modeling of coupled and decoupled approaches. Communications in Applied and Industrial Mathematics, 2(1), 1–22. doi: 10.1685/journal.caim.371
   Google Scholar
• Graf, W. H. (1998). Fluvial hydraulics: Flow and transport processes in channels of simple geometry. London: Wiley.
   Google Scholar
• Greco, M., Di Cristo, C., Evangelista, S., Leopardi, A., Iervolino, M., & Vacca, A. (2016). Experimental investigation of embankment erosion during fast geomorphic processes. River Flow 2016, Eighth International Conference on Fluvial Hydraulics, St Louis, USA. doi: 10.1201/9781315644479-77
   Google Scholar
• Greco, M., Iervolino, M., Leopardi, A., & Vacca, A. (2012). A two-phase model for fast geomorphic shallow flows. International Journal of Sediment Research, 27(4), 409–425. doi: 10.1016/S1001-6279(13)60001-3
   Web of Science ®Google Scholar
• Guan, M., Wright, N. G., & Sleigh, P. A. (2014). 2D Process-based morphodynamic model for flooding by noncohesive dyke breach. Journal of Hydraulic Engineering, 140(7), 04014022. doi: 10.1061/(ASCE)HY.1943-7900.0000861
   Web of Science ®Google Scholar
• Harten, A., Lax, P. D., & van Leer, B. (1983). On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Review, 25(1), 35–61. doi: 10.1137/1025002
   Web of Science ®Google Scholar
• Hoerling, M. P., Hurrell, J. W., & Xu, T. (2001). Tropical origins for recent North Atlantic climate change. Science, 292, 90–92. doi: 10.1126/science.1058582
   PubMed Web of Science ®Google Scholar
• Kocaman, S., & Ozmen-Cagatay, H. (2015). Investigation of dam-break induced shock waves impact on a vertical wall. Journal of Hydrology, 525, 1–12. doi: 10.1016/j.jhydrol.2015.03.040
   Web of Science ®Google Scholar
• Li, J., Cao, Z., Pender, G., & Liu, Q. (2013). A double layer-averaged model for dam-break flows over mobile bed. Journal of Hydraulic Research, 51(5), 518–534. doi: 10.1080/00221686.2013.812047
   Web of Science ®Google Scholar
• Lube, G., Hupper, H. E., Sparks, R. S. J., & Freundt, A. (2007). Static and flowing regions in granular collapses down channels. Physics of Fluids, 19(4), 1–9, 043301. doi: 10.1063/1.2712431
   Web of Science ®Google Scholar
• Pontillo, M., Schmocker, L., Greco, M., & Hager, W. H. (2010). 1D numerical evaluation of dike erosion due to overtopping. Journal of Hydraulic Research, 48(5), 573–582. doi: 10.1080/00221686.2010.507005
   Web of Science ®Google Scholar
• Richardson, J. F., & Zaki, W. N. (1954). Sedimentation and fluidisation: Part 1. Transaction of the Institution of Chemical Engineers, 32, 35–53. doi: 10.1016/S0263-8762(97)80006-8
   Google Scholar
• Rosatti, G., & Begnudelli, L. (2013). A closure-independent generalized roe solver for free-surface, two-phase flows over mobile bed. Journal of Computational Physics, 255, 362–383. doi: 10.1016/j.jcp.2013.08.020
   Web of Science ®Google Scholar
• Savary, C., & Zech, Y. (2007). Boundary conditions in a two-layer geomorphological model: Application to a hydraulic jump over a mobile bed. Journal of Hydraulic Research, 45(3), 316–332. doi: 10.1080/00221686.2007.9521766
   Web of Science ®Google Scholar
• Schmocker, L., & Hager, W. H. (2009). Modelling dike breaching due to overtopping. Journal of Hydraulic Research, 47(5), 585–597. doi: 10.3826/jhr.2009.3586
   Web of Science ®Google Scholar
• Shige-eda, M., & Akiyama, J. (2003). Numerical and experimental study on two-dimensional flood flows with and without structures. Journal of Hydraulic Engineering, 129(10), 817–821. doi: 10.1061/(ASCE)0733-9429(2003)129:10(817)
   Web of Science ®Google Scholar
• Soares-Frazao, S., & Zech, Y. (2008). Dam-break flow through an idealised city. Journal of Hydraulic Research, 46(5), 648–658. doi: 10.3826/jhr.2008.3164
   Web of Science ®Google Scholar
• Swartenbroekx, C., Soares Frazão, S., Staquet, R., & Zech, Y. (2010). Two-dimensional operator for bank failures induced by water-level rise in dam-break flows. Journal of Hydraulic Research, 48(3), 302–314. doi: 10.1080/00221686.2010.481856
   Web of Science ®Google Scholar
• Swartenbroekx, C., Zech, Y., & Soares Frazão, S. (2013). Two-dimensional two-layer shallow water model for dam break flows with significant bed load transport. International Journal for Numerical Methods in Fluids, 73(5), 477–508. doi: 10.1002/fld.3809
   Web of Science ®Google Scholar
• Valiani, A., & Begnudelli, L. (2006). Divergence form for bed slope source term in shallow water equations. Journal of Hydraulic Engineering, 132(7), 652–665. doi: 10.1061/(ASCE)0733-9429(2006)132:7(652)
   Web of Science ®Google Scholar
• Van Rijn, L. C. (1984). Sediment pick-up functions. Journal of Hydraulic Engineering, 110(10), 1494–1502. doi: 10.1061/(ASCE)0733-9429(1984)110:10(1494)
   Web of Science ®Google Scholar
• Volz, C., Rousselot, P., Vetsch, D., & Faeh, R. (2012). Numerical modelling of non-cohesive embankment breach with the dual-mesh approach. Journal of Hydraulic Research, 50(6), 587–598. doi: 10.1080/00221686.2012.732970
   Web of Science ®Google Scholar
• Wu, W., & Wang, S. S.-Y. (2007). One-dimensional modeling of dam-break flow over movable beds. Journal of Hydraulic Engineering, 133(1), 48–58. doi: 10.1061/(ASCE)0733-9429(2007)133:1(48)
   Web of Science ®Google Scholar
• Zech, Y., Soares-Frazão, S., Spinewine, B., & Le Grelle, N. (2008). Dam-break induced sediment movement: Experimental approaches and numerical modelling. Journal of Hydraulic Research, 46(2), 176–190. doi: 10.1080/00221686.2008.9521854
   Web of Science ®Google Scholar