Three-Dimensional Simulation of Local Scour around a Weir-Type Structure: Hybrid Euler-Lagrange Model for Bed-Material Load
Publication: Journal of Hydraulic Engineering
Volume 143, Issue 4
Abstract
This paper presents a hybrid Euler-Lagrange model for bed-material load considering transition between the bed load and suspended load. The hydrodynamic model and suspended sediment transport model are solved in the Eulerian grid. A Lagrangian model integrating the near-bed grain trajectory and the momentum equations is employed to predict the motion of the bed load. Sediment exchange among stationary bed, bed load, and suspended load are modeled by considering the deterministic nature of the motion of individual bed load particles and the stochastic nature of the behavior of particle groups. The numerical model was applied to two types of laboratory experiments: (1) local scour upstream of a slit weir and (2) sediment release from a dam gate where an open channel flow and a closed conduit flow appear. All validation cases show that the model is able to reproduce temporal variation of the three-dimensional bed geometry around a weir-type structure with sufficient accuracy. Numerical results imply that computing the transition process from the bed load motion into suspension has a key role in three-dimensional simulation of nonequilibrium transport of bed load and suspended load upstream of a weir-type structure.
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References
Baykal, C., Sumer, B. M., Fuhrman, D. R., Jacobsen, N. G., and Fredsoe, J. (2015). “Numerical investigation of flow and scour around a vertical circular cylinder.” Phil. Trans. Roy. Soc. A, 373(2033), 20140104.
Chang, Y. S., and Scotti, A. (2003). “Entrainment and suspension of sediments into a turbulent flow over ripples.” J. Turbul., 4(19), 1–22.
Dixen, M., Sumer, B. M., and Fredsøe, J. (2013). “Numerical and experimental investigation of flow and scour around a half-buried sphere.” Coastal Eng., 73, 84–105.
Einstein, H. A. (1942). “Formulas for the transportation of bed load.” Trans. ASCE, 2140, 561–597.
Escauriaza, C., and Sotiropoulos, F. (2011). “Lagrangian model of bed-load transport in turbulent junction flows.” J. Fluid Mech., 666, 36–76.
Ferziger, J. H., and Peric, M. (2012). Computational methods for fluid dynamics, Springer, Berlin.
Jasak, H., and Tukovic, Z. (2010). “Dynamic mesh handling in openfoam applied to fluid-structure interaction simulations.” Proc., 5th European Conf. on Computational Fluid Dynamics, Springer, Berlin, 14–17.
Khosronejad, A., Kang, S., and Sotiropoulos, F. (2012). “Experimental and computational investigation of local scour around bridge piers.” Adv. Water Resour., 37, 73–85.
Koken, M. (2011). “Coherent structures around isolated spur dikes at various approach flow angles.” J. Hydraul. Res., 49(6), 736–743.
Koken, M., and Constantinescu, G. (2011). “Flow and turbulence structure around a spur dike in a channel with a large scour hole.” Water Resour. Res., 47(12), .
Lauchlan, C. (2004). “Experimental investigation of bed-load and suspended-load transport over weirs.” J. Hydraul. Res., 42(5), 551–558.
Marsooli, R., and Wu, W. (2015). “Three-dimensional numerical modeling of dam-break flows with sediment transport over movable beds.” J. Hydraul. Eng., .
Menter, F., Ferreira, J. C., Esch, T., and Konno, B. (2003). “The SST turbulence model with improved wall treatment for heat transfer predictions in gas turbines.” Proc., Int. Gas Turbine Congress, IGTC2003-TS-059, Gas Turbine Society of Japan, Tokyo.
Nagata, N., Hosoda, T., Nakato, T., and Muramoto, Y. (2005). “Three-dimensional numerical model for flow and bed deformation around river hydraulic structures.” J. Hydraul. Eng., 1074–1087.
Nakagawa, H., Tsujimoto, T., and Murakami, S. (1986). “Non-equilibrium bed load transport alongside slope of an alluvial stream.” Proc., 3rd Int. Symp. on River Sedimentation, Univ. of Mississippi, Oxford, MS, 885–893.
Nakagawa, H., Tsujimoto, T., Murakami, S., and Gotoh, H. (1990). “Transition mechanism from saltation to suspension in bed-material load transport.” J. Hydrosci. Hydraul. Eng., 8(1), 41–54.
Nezu, I., and Nakagawa, H. (1993). Turbulence in open-channel flows, Chapter 4, Balkema, Rotterdam, Netherlands.
Ota, K., and Sato, T. (2012). “Local scour in the upstream region of dam gates. Part 1: Temporal evolution of scour hole geometry.”, (in Japanese).
Ota, K., and Sato, T. (2015). “Experimental and numerical study of the local scour caused by sediment releasing through a dam gate.” J. JSCE, 3(1), 184–190.
Ota, K., Sato, T., Arai, R., and Nakagawa, H. (2016). “Local scour upstream of a slit weir: Ordinary-differential-equation based model under steady and unsteady flow conditions.” J. Hydraul. Eng., .
Ota, K., Sato, T., and Nakagawa, H. (2015). “3D numerical model of sediment transport considering transition from bed-load motion to suspension: Application to local scours upstream of cross-river structures.” Ann. J. Hydraul. Eng., 59, I-883–I_888 (in Japanese).
Paik, J., Escauriaza, C., and Sotiropoulos, F. (2010). “Coherent structure dynamics in turbulent flows past in-stream structures: Some insights gained via numerical simulation.” J. Hydraul. Eng., 981–993.
Powell, D. N., and Khan, A. A. (2012). “Scour upstream of a circular orifice under constant head.” J. Hydraul. Res., 50(1), 28–34.
Richardson, J. F., and Zaki, W. N. (1954). “Sedimentation and fluidization. Part I.” Trans. Inst. Chem. Eng., 32, 35–53.
Roulund, A., Sumer, B. M., Fredsøe, J., and Michelsen, J. (2005). “Numerical and experimental investigation of flow and scour around a circular pile.” J. Fluid Mech., 534, 351–401.
Sekine, M. (2004). “Numerical simulation of braided stream formation on the basis of slope-collapse model.” J. Hydrosci. Hydraul. Eng., 22(2), 1–10.
van Driest, E. R. (1956). “On turbulent flow near a wall.” J. Aeronaut. Sci., 23(11), 1007–1011.
van Rijn, L. C. (1984). “Sediment transport. Part II: Suspended load transport.” J. Hydraul. Eng., 1613–1641.
Wu, W. (2007). Computational river dynamics, Taylor and Francis, London.
Wu, W., and Wang, S. S. Y. (2006). “Formulas for sediment porosity and settling velocity.” J. Hydraul. Eng., 858–862.
Zhang, H., Mizutani, H., Nakagawa, H., and Kawaike, K. (2015). “Euler-Lagrange model for local scour and grain size variation around a spur dyke.” Int. J. Multi. Flow, 68, 59–70.
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Published In
Journal of Hydraulic Engineering
Volume 143 • Issue 4 • April 2017
Copyright
©2016 American Society of Civil Engineers.
History
Received: Feb 12, 2016
Accepted: Aug 18, 2016
Published online: Nov 3, 2016
Published in print: Apr 1, 2017
Discussion open until: Apr 3, 2017
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