Abstract
The purpose of the present paper is to introduce a simple two-part multi-phase model for the sediment transport problems based on the incompressible smoothed particle hydrodynamics (ISPH) method. The proposed model simulates the movement of sediment particles in two parts. The sediment particles are classified into three categories, including the motionless particles, moving particles behave like a rigid body, and moving particles with a pseudo fluid behavior. The criterion for the classification of sediment particles is the Bingham rheological model. Verification of the present model is performed by simulation of the dam break waves on movable beds with different conditions and the bed scouring under steady flow condition. Comparison of the present model results, the experimental data and available numerical results show that it has good ability to simulate flow pattern and sediment transport.
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van Rijn L. C. Sediment transport, Part I: bed load transport [J]. Journal of Hydraulic Engineering, ASCE, 1984, 110 (10): 1431–1456.
Wu W., Rodi W., Wenka T. 3D numerical modeling of flow and sediment transport in open channels [J]. Journal of Hydraulic Engineering, ASCE, 2000, 126(1): 4–15.
Wu W. Depth-averaged two-dimensional numerical modeling of unsteady flow and nonuniform sediment transport in open channels [J]. Journal of Hydraulic Engineering, ASCE, 2004, 130(10): 1013–1024.
Liang D., Cheng L., LI F. Numerical modeling of scour below a pipeline in currents. Part II: Scour simulation [J]. Coastal Engineering, 2005, 52(1): 43–62.
Swartenbroekx C., Zech Y., Soares-Frazão S. Two-dimensional two-layer shallow water model for dam break flows with significant bed load transport [J]. International Journal for Numerical Methods in Fluids, 2013, 73(5): 477–508.
Lucy L. B. A numerical approach to the testing of the fission hypothesis [J]. Astronomical Journal, 1977, 82(12): 1013–1024.
Monaghan J. J. Smoothed particle hydrodynamics [J]. Annual Review of Astronomy and Astrophysics, 1992, 30: 543–574.
Monaghan J. J. Simulating free surface flows with SPH [J]. Journal of Computational Physics, 1994, 110: 399–406.
Ataie-Ashtiani B., Shobeiry G. Numerical simulation of landslide impulsive waves by incompressible smoothed particle hydrodynamics [J]. International Journal for Numerical Methods in Fluids, 2008, 56(2): 209–232.
Le Touzé D., Marsh A., Oger G. et al. SPH simulation of green water and ship flooding scenarios [J]. Journal of Hydrodynamics, 2010, 22(5Suppl.): 231–236.
Rogers B. D., Dalrymple R., Stansby P. K. Simulation of caisson breakwater movement using 2-D SPH [J]. Journal of Hydraulic Research, 2010, 48(Suppl. 1), 135–141.
Shao S. Incompressible smoothed particle hydrodynamics simulation of multifluid flows [J]. International Journal for Numerical Methods in Fluids, 2011, 69(11): 1715–1735.
Memarzadeh R., Hejazi K. ISPH numerical modeling of nonlinear wave run-up on steep slopes [J]. Journal of the Persian Gulf (Marine Science), 2012, 3(10): 17–26.
Ulrich C., Leonardi M., Rung T. Multi-physics SPH simulation of complex marine-engineering hydrodynamic problems [J]. Ocean Engineering, 2013, 64: 109–121.
Wu J. S., Zhang H., Yang R. et al. Numerical modeling of dam-break flood through intricate city layouts including underground spaces using GPU-based SPH method [J]. Journal of Hydrodynamics, 2013, 25(6): 818–828.
Farahani R., Dalrymple R., Hérault A. et al. Threedimensional SPH modeling of a bar/rip channel system [J]. Journal of Waterway Port Coastal and Ocean Engineering, 2014, 140(1): 82–99.
Manenti S., Sibilla S., Gallati M. et al. SPH simulation of sediment flushing induced by a rapid water flow [J]. Journal of Hydraulic Engineering, ASCE, 2012, 138(3): 272–284.
Sibilla S. SPH simulation of local processes [J]. ERCOFTAC Bulletin, 2008, 76: 41–44.
Ran Q., Tong J., Shao S. et al. Incompressible SPH scour model for movable bed dam break flows [J]. Advances in Water Resources, 2015, 82: 39–50.
Spinewine B., Zech Y. Small-scale laboratory dam-break waves on movable beds [J]. Journal of Hydraulic Research, 2007, 45(Suppl. 1): 73–86.
Mohamed M. S., Mccorquodale J. A. Short-term local scour [J]. Journal of Hydraulic Research, 1992, 30(5): 685–699.
Lo E. Y. M., Shao S. Simulation of near-shore solitary wave mechanics by an incompressible SPH method [J]. Applied Ocean Research, 2002, 24(5): 275–286.
Smagorinsky J. General circulation experiments with the primitive equations. I. The basic experiment [J]. Monthly Weather Review, 1963, 91: 99–164.
Colagrossi A., Landrini M. Numerical simulation of interfacial flows by smoothed particle hydrodynamics [J]. Journal of Computational Physics, 2003, 191(2): 448–475.
Chen C. L., Ling C. H. Granular-flow rheology: Role of shear-rate number in transition regime [J]. Journal of Engineering Mechanics, 1996, 122(5): 469–480.
Hosseini S. M., Manzari M. T., Hannani S. K. A fully explicit three-step SPH algorithm for simulation of non-Newtonian fluid flow [J]. International Journal of Numerical Methods for Heat and Fluid Flow, 2007, 17(7): 715–735.
Kanatani K. A plasticity theory for the kinematics of ideal granular materials [J]. International Journal of Engineering Science, 1982, 20(1): 1–13.
Shao S., Lo E. Incompressible SPH method for simulating Newtonian and non Newtonian flows with a free surface [J]. Advances in Water Resources, 2003, 26(7): 787–800.
Shakibaeinia A., Jin Y. C. A weakly compressible MPS method for modeling of open-boundary free-surface flow [J]. International Journal for Numerical Methods in Fluids, 2010, 63(10): 1208–1232.
Shakibaeinia A., Jin Y. C. A mesh-free particle model for simulation of mobile-bed dam break [J]. Advances in Water Resources, 2011, 34(6): 794–807.
Zech Y., Soares-frazão S., Spinewine B. Dam-break induced sediment movement: Experimental approaches and numerical modelling [J]. Journal of Hydraulic Research, 2008, 46(2): 176–190.
Spinewine B., Carpart H. Intense bed-load due to a sudden dam-break [J]. Journal of Fluid Mechanics, 2013, 731: 579–614.
Mohamed M. S. Erosion prediction and control in irrigation canals [D]. Doctoral Thesis, Windsor, Canada: University of Windsor, 1990.
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Biography: Rasoul Memarzadeh (1987-), Male, Ph. D., Assistant Professor
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Memarzadeh, R., Barani, G. & Ghaeini-Hessaroeyeh, M. Numerical modeling of sediment transport based on unsteady and steady flows by incompressible smoothed particle hydrodynamics method. J Hydrodyn 30, 928–942 (2018). https://doi.org/10.1007/s42241-018-0111-9
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DOI: https://doi.org/10.1007/s42241-018-0111-9