2D Numerical Modeling of Movable Bed Dam Break using SPH Method

Document Type : Research Article

Authors

1 Graduate Student, Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran

2 Professor, Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran

Abstract

Smoothed Particle Hydrodynamic method is a Lagrangian numerical particle method, best fitted for free surface hydrodynamics. SPHysics is one of the most well-known computer models based on SPH. However, this open source code is limited to one-phase Newtonian fluid problems. In this research, after developing the standard serial SPH code to a two-phase non-Newtonian model, the movable bed dam break problem has been modeled. An added pressure term is used in the pressure equation of state. Afterward, the model has been used for various problems and the validity of results was evaluated by related numerical models and experiments. Finally, the model has been challenged with modeling of dam break movable bed material by non-Newtonian Bingham model and compared with MPS method and experimental results.

Keywords

References

ولی­زاده، ع.، شفیعی­فر م. و صالحی نیشابوری، ع. (1390)، "ارائه یک مدل هیدرودینامیک ذرات هموار شده (SPH) استاندارد برای شبیه‌سازی جریان‌های با سطح آزاد"، نشریه تحقیقات منابع آب ایران، سال هفتم، شماره 3، ص.ص. 75-84.
Colagrossi A. and Landrini M. (2003). "Numerical simulation of interfacial flows by smoothed particle hydrodynamics", Journal of Computational Physics 191: 448-475.
Crespo A. J. C. (2008). "Application of the smoothed particle hydrodynamics model SPHysics to free-surface hydrodynamics", Ph.D. Thesis, University of Vigo.
Evangelista S. and Altinakar M. S. (2013). "Simulation of dam-break waves on movable beds using a multi-stage centered scheme", International Journal of Sediment Research 28(3): 269-284.
Gomez-Gesteira M., Crespo A. J. C., Rogers B. D., Dalrymple R. A., Dominguez J. M. and Barreiro A. (2012). "SPHysics-development of a free-surface fluid solver-Part 2: Efficiency and test cases, Computers & Geosciences 48(0): 300-307.
Gomez-Gesteira M., Rogers B., Crespo A., Dalrymple R., Narayanaswamy M. and Dominguez J. (2012). "SPHysics-development of a free-surface fluid solver-Part 1: Theory and Formulations.", Computers & Geosciences, Vol. 48. pp 289-299.
Hosseini S. M., Manzari M. T. and Hannani S. K. (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.
Jánosi I. M., Jan D., Szabó K. G. and Tél T. (2004). "Turbulent drag reduction in dam-break flows", Experiments in Fluids 37(2): 219-229.
Komatina D., and Jovanovic M. (1997). "Experimental study of steady and unsteady free surface flows with water-clay mixtures", Journal of Hydraulic Research 35(5): 579-590.
Liu M. and Liu G. (2010), "Smoothed particle hydrodynamics (SPH): An overview and recent developments", Archives of Computational Methods in Engineering, 17, 25-76.
López D., Marivela R. and Garrote L. (2010), "Smoothed particle hydrodynamics model applied to hydraulic structures: a hydraulic jump test case", Journal of Hydraulic Research, 48, 142-158.
Lucy L. B. (1977). "A numerical approach to the testing of the fission hypothesis", The Astronomical Journal 82: 1013-1024.
Maghsoudi M. S., Aghababazadeh H. and Shafieefar M. (2012). "Numerical modeling of material dumping during break water construction using SPH", International Conference on Ports and Marine Structures (ICOPMAS), Tehran, Iran.
Monaghan J. J. (1994). "Simulating free surface flows with SPH", Journal of Computational Physics 110(2): 399-406.
Monaghan J. J. (2005). "Smoothed particle hydrodynamics", Reports on Progress in Physics 68: 1703.
Monaghan J. J. and Kocharyan A. (1995). "SPH simulation of multi-phase flow", Computer Physics Communications 87(1-2): 225-235.
Omidvar P., Stansby P. K. and Rogers B. D. (2012), "Wave body interaction in 2d using smoothed particle hydrodynamics (SPH) with variable particle mass", International Journal for Numerical Methods in Fluids, 68, 686-705.
Ran Q., Tong J., Shao S., Fu X., and Xu Y. (2015). "Incompressible SPH scour model for movable bed dam break flows", Advances in Water Resources, 82, 39-50.
Rogers B. D., Dalrymple R. A. and Stansby P. K. (2010), "Simulation of caisson breakwater movement using 2-D SPH", Journal of Hydraulic
Research, 48, 135-141.
Shakibaeinia A. and Jin Y. C. (2011). "A mesh-free particle model for simulation of mobile-bed dam break", Advances in Water Resources 34(6): 794-807.
Shi Y. B., Pan C. H., et al. (2012). "2D movable-bed mathematical model for dam-break flow and sediment transport", Shuili Xuebao/Journal of Hydraulic Engineering 43(7): 834-841+851.
Toosi S. R., Ayyoubzadeh S. A. and Valizadeh A. (2015). "The influence of time scale in free surface flow simulation using Smoothed Particle Hydrodynamics (SPH)", KSCE Journal of Civil Engineering, 19(3), 765-770.
Valizadeh A., Shafieefar M., Monaghan, J. and Neyshaboori S. S. (2008), "Modeling two-phase flows using SPH method," Journal of Applied Sciences, 8, 3817-3826.
Zhangand S. and Duan J. G. (2011). "1D finite volume model of unsteady flow over mobile bed", Journal of Hydrology 405(1-2): 57-68.

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History

  • Receive Date: 11 May 2016
  • Accept Date: 11 May 2016

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