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Numerical investigation of particle saltation in the bed-load regime

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  • Special Topic: Erosion and Sedimentation
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Abstract

This paper numerically investigates particle saltation in a turbulent channel flow having a rough bed consisting of 2–3 layers of densely packed spheres. In this study, we combined three the state-of-the-art technologies, i.e., the direct numerical simulation of turbulent flow, the combined finite-discrete element modelling of the deformation, movement and collision of the particles, and the immersed boundary method for the fluid-solid interaction. Here we verify our code by comparing the flow and particle statistical features with the published data and then present the hydrodynamic forces acting on a particle together with the particle coordinates and velocities, during a typical saltation. We found strong correlation between the abruptly decreasing particle stream-wise velocity and the increasing vertical velocity at collision, which indicates that the continuous saltation of large grain-size particles is controlled by collision parameters such as particle incident angle, local rough bed packing arrangement, and particle density, etc. This physical process is different from that of particle entrainment in which turbulence coherence structures play an important role. Probability distribution functions of several important saltation parameters and the relationships between them are presented. The results show that the saltating particles hitting the windward side of the bed particles are more likely to bounce off the rough bed than those hitting the leeside. Based on the above findings, saltation mechanisms of large grain-size particles in turbulent channel flow are presented.

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References

  1. Niño Y, García M. Gravel saltation: 2. Modeling. Water Resour Res, 1994, 30: 1915–1924

    Article  Google Scholar 

  2. Bialik R J, Nikora V I, Rowinski P M, et al. A numerical study of turbulence influence on saltating grains. In: Dittrich A, Koll K, Aberle J Geisenhainer P, eds. Proceedings of International Conference on Fluvial Hydraulics (River Flow 2010), Braunschweig, Germany, 2010. 105–112

    Google Scholar 

  3. van Rijn L C. Sediment transport, part I: bed load transport. J Hydraul Eng-ASCE, 1984, 110: 1431–1456

    Article  Google Scholar 

  4. Abbott J E, Francis J R D. Saltation and suspension trajectories of solid grains in a water stream. Phil Trans R Soc Lond A, 1977, 284: 225–254

    Article  Google Scholar 

  5. Niño Y, García M H. Experiments on particle-turbulence interactions in the near-wall region of an open channel flow: implications for sediment transport. J Fluid Mech, 1996, 326: 285–319

    Article  Google Scholar 

  6. Niño Y, García M H. Experiments on saltation of sand in water. J Hydraul Eng — ASCE, 1998, 124: 1014–1025

    Article  Google Scholar 

  7. Niño Y, García M, Ayala L. Gravel saltation: 1. Experiments. Water Resour Res, 1994, 30: 1907–1914

    Article  Google Scholar 

  8. Lee H Y, Hsu I S. Investigation of saltating particle motions. J Hydraul Eng — ASCE, 1994, 120: 831–845

    Article  Google Scholar 

  9. Lee H Y, Chen Y H, You J Y, et al. Investigations of continuous bed load saltating process. J Hydraul Eng-ASCE, 2000, 126: 691–700

    Article  Google Scholar 

  10. Lee H Y, You J Y, Lin Y T. Continuous saltating process of multiple sediment particles. J Hydraul Eng — ASCE, 2002, 128: 443–450

    Article  Google Scholar 

  11. Ancey C, Bigillon F, Frey P, et al. Saltating motion of a bead in a rapid water stream. Physical review E, 2002, 66: 036306

    Article  Google Scholar 

  12. Ancey C, Böhm T, Jodeau M, et al. Statistical description of sediment transport experiments. Physical Review E, 2006, 74: 011302

    Article  Google Scholar 

  13. Osanloo F, Kolahchi M R, McNamara S, et al. Sediment transport in the saltation regime. Physical Review E, 2008, 78: 011301

    Article  Google Scholar 

  14. Niño Y, García M. Using Lagrangian particle saltation observations for bedload sediment transport modeling. Hydrological Processes, 1998, 12: 1197–1218

    Article  Google Scholar 

  15. Chan-Braun C, Garcia-Villalba M, Uhlmann M. Force and torque acting on particles in a transitionally rough open channel flow. J Fluid Mech, 2011, 684: 441–474

    Article  MATH  Google Scholar 

  16. Chan-Braun C, Garcia-Villalba M, Uhlmann M. Direct numerical simulation of sediment transport in turbulent open channel flow. In: Nagel W E, Kröner D B, Resch M M, eds. High Performance Computing in Science and Engineering’10. Heidelberg: Springer, 2011. 295–306

    Google Scholar 

  17. Thomas T G, Williams J J R. The development of a parallel code to simulate skewed flow over a bluff body. J Wind Eng Ind Aero, 1997, 67–68: 155–167

    Article  Google Scholar 

  18. Singh K M, Sandham N D, Williams J J R. Numerical simulation of flow over a rough bed. J Hydraul Eng — ASCE, 2007, 133: 386–398

    Article  Google Scholar 

  19. Ma J, Williams J J R. Implication of horizontal force moments for the threshold of bed entrainment in an open-channel flow. J Hydroenviron Res, 2009, 3: 2–8

    Google Scholar 

  20. Peskin C S. Flow patterns around heart valves: a numerical method. J Comp Phys, 1972, 10: 252–271

    Article  MATH  MathSciNet  Google Scholar 

  21. Ji C, Munjiza A, Williams J J R. A novel iterative direct-forcing immersed boundary method and its finite volume applications. J Comp Phys, 2012, 231: 1797–1821

    Article  MATH  MathSciNet  Google Scholar 

  22. Munjiza A, Owen D R J, Bicanic N. A combined finite-discrete element method in transient dynamics of fracturing solids. Eng Comp, 1995, 12: 145–174

    Article  MATH  Google Scholar 

  23. Munjiza A, Andrews K R F. Penalty function method for combined finite-discrete element systems comprising large number of separate bodies. Int J Numer Meth Eng, 2000, 49: 1377–1396

    Article  MATH  Google Scholar 

  24. Xiang J, Munjiza A, Latham J P, et al. On the validation of DEM and FEM/DEM models in 2D and 3D. Eng Comp: Int J Comp-Aided Eng, 2009, 26: 673–687

    Article  Google Scholar 

  25. Hofland B. Rock and roll, turbulence-induced damage to granular bed protections. Dissertation of the Doctoral Degree. Delft: Delft University of Technology, 2005

    Google Scholar 

  26. Defina A. Transverse spacing of low-speed streaks in a channel flow over a rough bed. In: Ashworth P J, Bennett S J, Best J L, et al., eds. Coherent Flow Structures in Open Channels. New York: Wiley, 1996. 87–99

    Google Scholar 

  27. Grass A J, Stuart R J, Mansour-Tehrani M. Vortical structures and coherent motion in turbulent flow over smooth and rough boundaries. Philos Trans R Soc London, Ser. A, 1991, 336: 33–65

    Article  Google Scholar 

  28. Grass A J. Structural features of turbulent flow over smooth and rough boundaries. J Fluid Mech, 1971, 50: 233–255

    Article  Google Scholar 

  29. Nezu I. Turbulence structure in an open channel flow. Dissertation of the Doctoral Degree. Kyoto: Kyoto University, 1977

    Google Scholar 

  30. Nezu I, Nakagawa H. Turbulence in Open-channel Flows. Rotterdam: Balkema, 1993

    Google Scholar 

  31. Jiménez J. Turbulent flows over rough walls. Annu Rev Fluid Mech, 2004, 36: 173–196

    Article  Google Scholar 

  32. Ji C, Munjiza A, Avital E, et al. Direct numerical simulation of sediment entrainment in turbulent channel flow. Phys Fluids, 2013, 25: 056601

    Article  Google Scholar 

  33. Luque R F, van Beek R. Erosion and transport of bed-load sediment. J Hydrol Res, 1976, 14: 127–144

    Article  Google Scholar 

  34. Gordon R, Carmichael J B, Isackson F J. Saltation of plastic balls in a ‘one-dimensional’ flume. Water Resour Res, 1972, 8: 444–459

    Article  Google Scholar 

  35. Dwivedi A, Melville B W, Shamseldin A Y, et al. Flow structures and hydrodynamic force during sediment entrainment. Water Resour Res, 2011, 47: W01509

    Article  Google Scholar 

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Correspondence to ChunNing Ji.

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Ji, C., Ante, M., Eldad, A. et al. Numerical investigation of particle saltation in the bed-load regime. Sci. China Technol. Sci. 57, 1500–1511 (2014). https://doi.org/10.1007/s11431-014-5606-1

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  • DOI: https://doi.org/10.1007/s11431-014-5606-1

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