3D Calculations of Equilibrium Conditions in Loose-Bed Open Channels with Significant Suspended Sediment Load
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 9
Abstract
The flow, sediment transport, and bathymetry at equilibrium conditions in loose-bed open channels are predicted using a fully three-dimensional (3D) Reynolds-Averaged Navier-Stokes model that was validated for cases in which the bed-load transport is dominant. The paper focuses on two test cases corresponding to laboratory experiments performed in an S-shaped channel in which the suspended sediment load is comparable to the bed load. A modified version of the original model that accounts for gravitational force effects due to the total sediment load is proposed. It is shown that the way bed-slope effects are accounted for plays a major role in improving the predictive capabilities of the model for a case in which the equilibrium bathymetry is characterized by relatively large values and sharp variations of the transverse slope. The model is then used to qualitatively and quantitatively analyze the distributions of several flow variables that are difficult to measure in the laboratory. They include the distributions of the bed-shear stress and of a Chezy-type friction coefficient assumed to be constant by most lower-order (e.g., two-dimensional depth-averaged) models.
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References
Blanckaert, K., Glasson, L., Jagers, H. R. A., and Sloff, C. J. (2003). “Quasi-3D simulation of flow in sharp open-channel bends with horizontal and developed bed topography.” Proc., Int. Symp. Shallow Flows, Vol. I, Technicaliv. Delft, Delft, The Netherlands, 93–100.
Chang, K., Constantinescu, G., and Park, S. O. (2007). “Assessment of predictive capabilities of detached eddy simulation to simulate flow and mass transport past open cavities.” ASME J. Fluids Eng., 129(11), 1372–1383.
Choi, S. U., Kim, T. B., and Min, K. D. (2005). “2D finite element modeling of bed elevation change in a curved channel.” Proc., River and Coastal Estuarine Morphology Conf., Univ. of Illinois, Urbana-Champaign, Urbana, IL.
Constantinescu, G. S., and Patel, V. C. (1998). “Numerical model for simulation of pump-intake flow and vortices.” J. Hydraul. Eng., 124(2), 123–134.
Constantinescu, G. S., and Patel, V. C. (2000). “Role of turbulence model in prediction of pump-bay vortices.” J. Hydraul. Eng., 126(5), 387–392.
Finnie, J., Donnell, B., Letter, J., and Bernard, R. S. (1999). “Secondary flow correction for depth-averaged flow calculations.” J. Eng. Mech., 125(7), 848–863.
Ghamry, H. K., and Steffler, P. M. (2005). “2D depth-averaged modeling of flow in curved open channels.” J. Hydraul. Res., 43(1), 44–55.
Henderson, F. M. (1966). Open channel flows, Macmillan, New York.
Jin, Y. C., and Steffler, P. M. (1993). “Predicting flow in open curved channels by depth-averaged method.” J. Hydraul. Eng., 119(1), 109–124.
Kassem, A. A., and Chaudhry, M. H. (2002). “Numerical modeling of bed evolution in channel bends.” J. Hydraul. Eng., 128(5), 507–514.
Khosronejad, A., Rennie, C., Neyshabouri, S., and Townsend, R. D. (2007). “3D numerical modeling of flow and sediment transport in laboratory channel bends.” J. Hydraul. Eng., 133(10), 1123–1134.
Kirkil, G., and Constantinescu, G. (2009). “Nature of flow and turbulence structure around an in-stream vertical plate in a shallow channel and the implications for sediment erosion.” Water Resour. Res., 45, W06412.
Kirkil, G., Constantinescu, G., and Ettema, R. (2009). “DES investigation of turbulence and sediment transport at a circular pier with scour hole.” J. Hydraul. Eng., 135(11), 888–901.
Koken, M., and Constantinescu, G. (2009). “An investigation of the dynamics of coherent structures in a turbulent channel flow with a vertical sidewall obstruction.” Phys. Fluids, 21, 085104.
Lin, B. L., and Falconer, R. (1996). “Numerical modeling of three-dimensional suspended sediment for estuarine and coastal waters.” J. Hydraul. Res., 34(1), 435–455.
Minh Duc, B., Wenka, T., and Rodi, W. (2004). “Numerical modeling of bed deformation in laboratory channels.” J. Hydraul. Eng., 130(9), 894–904.
Nagata, N., Hosoda, T., Nakato, T., and Muramoto, Y. (2005). “Three-dimensional numerical model for flow and bed deformation in laboratory channels.” J. Hydraul. Eng., 131(12), 1074–1087.
Odgaard, A. J. (1986). “Meander flow model. I: Development.” J. Hydraul. Eng., 112(12), 1117–1136.
Odgaard, A. J., and Bergs, M. (1988). “Flow processes in a curved alluvial channel.” Water Resour. Res., 24(1), 45–56.
Olesen, K. W. (1985). “Experiments with graded sediment in the DHL curved flume.” Rep. No. R 657-XXII M 1771, Delft Hydraulics Laboratory, Delft, The Netherlands.
Onishi, Y. (1972). “Effects of meandering of sediment discharges and friction factors of alluvial streams.” Ph.D. thesis, Univ. of Iowa, Iowa City, IA.
Onishi, Y., Jain, S. C., and Kennedy, J. F. (1976). “Effects of meandering in alluvial streams.” J. Hydr. Div., 102(7), 899–917.
Parker, G., and Johannesson, H. (1989). “Observations on several recent theories of resonance and overdeepening in meandering channels.” River meandering, Vol. 12, S. Ikeda and G. Parker, eds., Water Resources Monograph, American Geophysica Union, Washington, D.C., 379–416.
Roulund, A., Sumer, B. M., Fredsoe, J., and Michelsen, J. (2005). “Numerical and experimental investigation of flow and scour around a circular pile.” J. Fluid Mech., 534, 351–401.
Ruther, N., and Olsen, N. R. (2006). “3D modeling of transient bed deformation in a sine-generated laboratory channel with two different width to depth ratios.” Proc., River Flow 2006 Conf., Taylor & Francis, London.
Sekine, M., and Parker, G. (1992). “Bed load transport on transverse slope.” J. Hydraul. Eng., 118(4), 513–535.
Shimizu, Y., and Itakura, T. (1989). “Calculation of bed variation in alluvial channels.” J. Hydr. Div., 115(3), 367–384.
Spalart, P. R. (2000). “Trends in turbulence treatments.” AIAA Paper 2000–2306, American Institute of Aeronautics and Astronautics.
Struiksma, N. (1983). “Point bar initiation in bends of alluvial rivers with dominant bed transport.” TOW Rep. No. R657-XVII/W308-III, Delft Hydraulics Laboratory, Delft, The Netherlands.
Struiksma, N., Olesen, K. W., Flokstra, C., and de Vriend, H. J. (1985). “Bed deformation in curved alluvial channels.” J. Hydraul. Res., 23(1), 57–79.
van Rijn, L. C. (1984a). “Sediment transport. I: Bed load transport.” J. Hydraul. Eng., 110(10), 1431–1455.
van Rijn, L. C. (1984b). “Sediment transport. II: Bed forms and alluvial roughness.” J. Hydraul. Eng., 110(11), 1613–1641.
van Rijn, L. C. (1984c). “Sediment transport. III: Bed forms and alluvial roughness.” J. Hydraul. Eng., 110(12), 1733–1754.
van Rijn, L. C. (1987). “Mathematical modeling of morphological processes in the case of suspended sediment transport.” Communication 382, Delft Hydraulics, Delft, The Netherlands.
Vasquez, J. A., Millar, R. G., and Steffler, P. M. (2005). “Vertically-averaged and momentum model for alluvial bend morphology.” Proc., River and Coastal Estuarine Morphology Conf. RCEM 2005, Taylor & Francis, London, 711–718.
Wu, W., Rodi, W., and Wenka, T. (2000). “3D numerical modeling of flow and sediment transport in open channels.” J. Hydraul. Eng., 126(1), 4–15.
Yeh, K. C., and Kennedy, J. F. (1993). “Moment model of non uniform channel bend flow. II: Erodible beds.” J. Hydraul. Eng., 119(7), 796–815.
Yen, C. L. (1967). “Bed configuration and characteristics of subcritical flow in a meandering channel.” Ph.D. thesis, Univ. of Iowa, Iowa City, IA.
Zeng, J., Constantinescu, G., Blanckaert, K., and Weber, L. (2008a). “Flow and bathymetry in sharp open channel bends: Experiments and predictions.” Water Resour. Res., 44, W09401.
Zeng, J., Constantinescu, S. G., and Weber, L. (2008b). “A 3D non-hydrostatic model to predict flow and sediment transport in loose-bed channel bends.” J. Hydraul. Res., 46(3), 356–372.
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Information
Published In
Journal of Hydraulic Engineering
Volume 136 • Issue 9 • September 2010
Pages: 557 - 571
Copyright
© 2010 ASCE.
History
Received: Aug 14, 2008
Accepted: Feb 22, 2010
Published online: Aug 13, 2010
Published in print: Sep 2010
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