Abstract
Mountainous torrents often carry large amounts of loose materials into the rivers, thus causing strong sediment transport. Experimentally it was found for the first time that when the intensive sediment motion occurs downstream over a gentle slope, the siltation of the riverbed is induced and the sediment particles can move upstream rapidly in the form of a retrograde sand wave, resulting in a higher water level along the river. To further study the complex mechanisms of this problem, a sediment mass model in the framework of the Smoothed Particle Hydrodynamics (SPH) method was presented to simulate the riverbed evolution, sediment particle motion, and the generation and development of dynamic hydraulic jump under the condition of sufficient sediment supply over a steep slope with varying angles. Because the sediment is not a continuous medium, the marker particle tracking approach was proposed to represent a piece of sediment with a marked sediment particle. The two-phase SPH model realizes the interaction between the sediment and fluid by moving the bed boundary particles up and down, so it can reasonably treat the fluid-sediment interfaces with high CPU efficiency. The critical triggering condition of sediment motion, the propagation of the hydraulic jump and the initial siltation position were all systematically studied. The experimental and numerical results revealed the extra disastrous sediment effect in a mountainous flood. The findings will be useful references to the disaster prevention and mitigation in mountainous rivers.
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References
Antuono M, Colagrossi A, Marrone S, et al. (2010) Free-surface flows solved by means of SPH schemes with numerical diffusive terms. Computer Physics Communications 181: 532–549. https://doi.org/10.1016/j.cpc.2009.11.002
Aristodemo F, Tripepi G, Meringolo DD, et al. (2017) Solitary wave-induced forces on horizontal circular cylinders: Laboratory experiments and SPH simulations. Coastal Engineering 129: 17–35. https://doi.org/10.1016/j.coastaleng.2017.08.011
Chen RD, Shao SD, Liu XN (2015) Water-sediment flow modeling for field case studies in Southwest China. Natural Hazards 78(2): 1197–1224. https://doi.org/10.1007/s11069-015-1765-z
Chien N, Wan ZH (1999) Mechanics of sediment transport. ASCE(American Society of Civil Engineers) Press, USA. p 386.
De Padova D, Mossa M, Sibilla S, et al. (2013) 3D SPH modelling of hydraulic jump in a very large channel. Journal of Hydraulic Research 51(2): 158–173. https://doi.org/10.1080/00221686.2012.736883
De Padova D, Mossa M, Sibilla S (2017) SPH numerical investigation of characteristics of hydraulic jumps. Environmental Fluid Mechanics 18(4): 849–870. https://doi.org/10.1007/s10652-017-9566-4
Federico I, Marrone S, Colagrossi A, et al. (2012) Simulating 2D open-channel flows through an SPH model. European Journal of Mechanics 34(7): 35–46. https://doi.org/10.1016/j.euromechflu.2012.02.002
Gotoh H, Khayyer A (2018) On the state-of-the-art of particle methods for coastal and ocean engineering. Coastal Engineering Journal 60(1): 79–103. https://doi.org/10.1080/21664250.2018.1436243
Guillén-Ludeña S, Franca MJ, Cardoso AH, et al. (2016) Evolution of the hydromorphodynamics of mountain river confluences for varying discharge ratios and junction angles. Geomorphology 255: 1–15. https://doi.org/10.1016/j.geomorph.2015.12.006
Guo YK, Wu XG, Pan CH, et al. (2012) Numerical simulation of the tidal flow and suspended sediment transport in the Qiantang Estuary. Journal of Waterway, Port, Coastal and Ocean Engineering 138(3): 192–202. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000118
Hayashi M, Gotoh H, Sakai T, et al. (2003). Lagrangian gridless model of toe scouring of seawall due to tsunami return flow. Proceeding of the 2nd International Conference on Asian and Pacific Coast 2003, Makuhari, Japan.
Hosseini SM, Manzari MT, Hannani SK (2007) A fully explicit three-step SPH algorithm for simulation of non-Newtonian fluid flow. International Journal of Numerical Methods for Heat and Fluid Flow 17(7): 715–735. https://doi.org/10.1108/09615530710777976
Jonsson P, Andreasson P, Hellström JGI, et al. (2016) Smoothed particle hydrodynamic simulation of hydraulic jump using periodic open boundaries. Applied Mathematical Modelling 40(19-20): 8391–8405. https://doi.org/10.1016/j.apm.2016.04.028
Khanpour M, Zarrati AR, Kolahdoozan M, et al. (2016) Mesh-free SPH modeling of sediment scouring and flushing. Computers and Fluids 129: 67–78. https://doi.org/10.1016/j.compfluid.2016.02.005
Koshizuka S, Nobe A, Oka Y (1998) Numerical analysis of breaking waves using the moving particle semi-implicit method. International Journal for Numerical Methods in Fluids 26(7): 751–769. https://doi.org/10.1002/(SICI)1097-0363(19980415)26:7<751::AID-FLD671>3.0.CO;2-C
Liang QH, Borthwick AGL (2009) Adaptive quadtree simulation of shallow flows with wet-dry fronts over complex topography. Computers and Fluids 38(2): 221–234. https://doi.org/10.1016/j.compfluid.2008.02.008
Liu GR, Liu MB (2004) Smoothed particle hydrodynamics: a meshfree particle method. World Scientific, China. (In Chinese)
López D, Marivela R, Garrote L (2010) Smoothed particle hydrodynamics model applied to hydraulic structures: a hydraulic jump test case. Journal of Hydraulic Research 48(s1): 142–158. https://doi.org/10.1080/00221686.2010.9641255
Manenti S, Sibilla S, Gallati M, et al. (2012) SPH simulation of sediment flushing induced by a rapid water flow. Journal of Hydraulic Engineering 138(3): 272–284. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000516
Meringolo DD, Colagrossi A, Marrone S, et al. (2017) On the filtering of acoustic components in weakly-compressible SPH simulations. Journal of Fluids and Structures 70: 1–23. https://doi.org/10.1016/j.jfluidstructs.2017.01.005
Monaghan JJ (1994) Simulating free surface flows with SPH. Journal of Computational Physics 110(2): 399–406. https://doi.org/10.1006/jcph.1994.1034
Nabian MA, Farhadi L (2016) Multiphase mesh-free particle method for simulating granular flows and sediment transport. Journal of Hydraulic Engineering 143(4): 04016102. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001275
Pitlick J, Recking A, Liebault F (2013) Linkages between sediment supply and channel morphology in gravel-bed river systems. European Geosciences Union General Assembly 2013, Vienna, Austria.
Shakibaeinia A, Jin YC (2011) A mesh-free particle model for simulation of mobile-bed dam break. Advances in Water Resources 34(6): 794–807. https://doi.org/10.1016/j.advwatres.2011.04.011
Shao SD, Lo EYM (2003) Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Advances in Water Resources 26: 787–800. https://doi.org/10.1016/S0309-1708(03)00030-7
Spinewine B (2005) Two-layer flow behaviour and the effects of granular dilatancy in dam break induced sheet-flow. PhD thesis, Univerisité de Louvain.
Sun PN, Ming FR, Zhang AM (2015) Numerical simulation of interactions between free surface and rigid body using a robust SPH method. Ocean Engineering 98: 32–49. https://doi.org/10.1016/j.oceaneng.2015.01.019
Wang D, Shao SD, Li SW, et al. (2018) 3D ISPH erosion model for flow passing a vertical cylinder. Journal of Fluids and Structures 78: 374–399. https://doi.org/10.1016/j.jfluidstructs.2018.01.003
Xia JQ, Falconer RA, Lin BL, et al. (2011) Numerical assessment of flood hazard risk to people and vehicles in flash floods. Environmental Modelling and Software 26(8): 987–998. https://doi.org/10.1016/j.envsoft.2011.02.017
Zhang RJ (1961) River dynamics. China Industry Press, China. (In Chinese)
Zhang ZL, Liu MB (2018) A decoupled finite particle method for modeling incompressible flows with free surfaces. Applied Mathematical Modelling 60: 606–633. https://doi.org/10.1016/j.apm.2018.03.043
Zhu HJ, Qi X, Lin PZ, et al. (2013) Numerical simulation of flow around a submarine pipe with a spoiler and current-induced scour beneath the pipe. Applied Ocean Research 41(6): 87–100. https://doi.org/10.1016/j.apor.2013.03.005
Acknowledgements
This research work was supported by the National Key Research and Development Program of China (No. 2016YFC0402302) and the National Natural Science Foundation of China (No.51609161). The authors appreciate the Open Funding SKHL1710 and SKHL1712 from the State Key Laboratory of Hydraulics and Mountain River Engineering in Sichuan University, China.
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Zheng, Xg., Chen, Rd., Luo, M. et al. Dynamic hydraulic jump and retrograde sedimentation in an open channel induced by sediment supply: experimental study and SPH simulation. J. Mt. Sci. 16, 1913–1927 (2019). https://doi.org/10.1007/s11629-019-5397-8
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DOI: https://doi.org/10.1007/s11629-019-5397-8