Abstract
The smoothed particle hydrodynamics (SPH) is a Lagrangian method effective in the simulation of free surface flows. In this paper, the evolution of dam break with dry bed was modeled through the SPH. First, the basis of the SPH was reviewed, including techniques essential for representing the equations concerning the problem. In this modeling, a new approach known as leapfrog was employed for the time step scheme, thus improving the results of modeling. The results of PVS-break model implemented in MATLAB were validated versus experimental results. The shape of waves generated indicated good compatibility with experimental modeling. The results of Mann–Whitney test revealed that there was no significant difference between the waves generated from PVS-break and the experimental models (P value ≥ 0.05). The results of this model as compared with those of other studies suggested that the current model is very powerful given the techniques employed in the numerical modeling of dam break.
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References
Abarbanel S, Gottlieb D (1976) A note on the leap-frog scheme in two and three dimensions. J Comput Phys 21(3):351–355. doi:10.1016/0021-9991(76)90033-4
Balsara DS (1995) von Neumann stability analysis of smooth particle hydrodynamics: suggestions for optimal algorithms. J Comput Phys 121(2):357–372. doi:10.1016/S0021-9991(95)90221-X
Changhong Hu, Masashi K (2004) A CIP-based method for numerical simulations of violent free-surface flows. J Mar Sci Technol 9(4):143–157. doi:10.1007/s00773-004-0180-z
Colagrossi A, Landrini M (2003) Numerical simulation of interfacial flows by smoothed particle hydrodynamics. J Comput Phys 191(2):448–475. doi:10.1016/S0021-9991(03)00324-3
Crespo AJC, Gómez-Gesteira M, Dalrymple RA, FASCE (2008) Modeling dam break behavior over a wet bed by a SPH technique. J Waterw Port Coast Ocean Eng 134(6):313–320. doi:10.1061/(ASCE)0733-950X(2008)134:6(313)
Cruchaga MA, Celentano DJ, Tezduyar TE (2007) Collapse of a liquid column: numerical simulation and experimental validation. Comput Mech 39(4):453–476. doi:10.1007/s00466-006-0043-z
Federico I, Marrone S, Colagrossi A, Aristodemo F, Antuono M (2012) Simulating 2D open-channel flows through an SPH model. Eur J Mech B Fluids 34:35–46. doi:10.1016/j.euromechflu.2012.02.002
Gingold RA, Monaghan JJ (1977) Smoothed particle hydrodynamics: theory and application to non-spherical stars. R Astron Soc 181(3):375–389. doi:10.1093/mnras/181.3.375
Gómez-Gesteira M, Dalrymple RA (2004) Using a three-dimensional smoothed particle hydrodynamics method for wave impact on a tall structure. J Waterw Port Coast Ocean Eng 130(2):63–69. doi:10.1061/(ASCE)0733-950X(2004)130:2(63)
Guo-dong Xu, Wen-yang D (2009) Review of prediction techniques on hydrodynamic impact of ships. J Mar Sci Appl 8(3):204–210. doi:10.1007/s11804-009-8039-7
Hong-Ming K, Tsang-Jung C (2012) Numerical modeling of dambreak-induced flood and inundation using smoothed particle hydrodynamics. J Hydrol 448–449:232–244. doi:10.1016/j.jhydrol.2012.05.004
Khayyer Abbas, Gotoh Hitoshi (2010) On particle-based simulation of a dam break over a wet bed. J Hydraul Res 48(2):238–249. doi:10.1080/00221681003726361
Liang D (2010) Evaluating shallow water assumptions in dam-break flows. Proc Inst Civil Eng: Water Manag 163(5):227–237. doi:10.1680/wama.2010.163.5.227
Liu GR (2009) Mesh free methods: moving beyond the finite element method. CRC Press, Boca Raton
Lucy L (1977) A numerical approach to the testing of fission hypothesis. Astron J 82(12):1013–1024. doi:10.1086/112164
Marrone S, Colagrossi A, Antuono M, Graziani G (2011) SPH modeling of Laminar flows through a novel ghost-fluid technique. Contributo in atti di convegno. Bologna
Monaghan JJ (1989) On the problem of penetration in particle methods. J Comput Phys 82(1):1–15. doi:10.1016/0021-9991(89)90032-6
Monaghan JJ (1992) Smoothed particle hydrodynamics. Ann Rev Astron Astrophys 30:543–574. doi:10.1146/annurev.aa.30.090192.002551
Monaghan JJ (1994) Simulating free surface flows with SPH. J Comput Phys 110(2):399–406. doi:10.1006/jcph.1994.1034
Monaghan JJ (2005) Smoothed particle hydrodynamics. Rep Prog Phys 68(8):1703–1759. doi:10.1088/0034-4885/68/8/R01
Violeau D, Issa R (2007) Numerical modelling of complex turbulent free-surface flows with the SPH method: an overview. Int J Numer Methods Fluids 53(2):277–304. doi:10.1002/fld.1292
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Parmas, B., Vosoughifar, H.R. Novel method of boundary condition of dam-break phenomena using ghost-particle SPH. Nat Hazards 84, 897–910 (2016). https://doi.org/10.1007/s11069-016-2463-1
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DOI: https://doi.org/10.1007/s11069-016-2463-1