Abstract
A 2D depth-averaged model for hydrodynamic sediment transport and river morphological adjustment was established. The sediment transport submodel takes into account the influence of non-uniform sediment with bed surface armoring and considers the impact of secondary flow in the direction of bed-load transport and transverse slope of the river bed. The bank erosion submodel incorporates a simple simulation method for updating bank geometry during either degradational or aggradational bed evolution. Comparison of the results obtained by the extended model with experimental and field data, and numerical predictions validate that the proposed model can simulate grain sorting in river bends and duplicate the characteristics of meandering river and its development. The results illustrate that by using its control factors, the improved numerical model can be applied to simulate channel evolution under different scenarios and improve understanding of patterning processes.
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References
Abad Jorge D, Buscaglia Gustavo C and Garcia Marcelo H 2008 2D stream hydrodynamic, sediment transport and bed morphology model for engineering applications; Hydrol. Process. 22 1443–1359.
Bathurst J C, Thorne C R and Hey R D 1979 Secondary flow and shear stress at river bends; J. Hydraul. Div. 105 1277–1295.
Braudricka C A, Dietrich W E, Leverich G T and Sklar L S 2009 Experimental evidence for the conditions necessary to sustain meandering in coarse-bedded rivers; PNAS 106 16,936–16,941.
Crosato A 2008 Analysis and modelling of river meandering; PhD thesis, Delft University of Technology, The Netherlands, IOS Press, ISBN 978-1-58603-915-8.
De Vriend H J 1977 A mathematical model of steady flow in curved shallow channel; J. Hydraul. Res., Delft, The Netherlands 15 (1) 37–54.
Darby S E and Thorne C R 1996 Numerical simulation of widening and bed deformation of straight sand-bed rivers. I: Model development; J. Hydraul. Eng. 122 (6) 184– 193.
Darby S E, Alabyan A M and Van de Wiel M J 2002 Numerical simulation of bank erosion and channel migration in meandering rivers; Water Resour. Res. 38 (11) 1–21.
Duan J. G 2005 Analytical approach to calculate rate of bank erosion; J. Hydraul. Eng. 131 (12) 980–990.
Duan J. G and Julien P. Y 2010 Numerical simulation of meandering evolution; J. Hydrol. 391 34–46.
Einstein H A and Shen H W 1964 A study of meandering in straight alluvial channels; J. Geophys. Res. 69 5239–5247.
Engelund F 1974 Flow and bed topography in channel bends; J. Hydraul. Eng. 100 1631–1648.
Falconer R A 1986 Water quality simulation study of a natural harbor; J. Waterway, Port, Coastal, and Ocean Engineering 112 15–34.
Friedkin J 1945 A laboratory study of the meandering of alluvial rivers; US Waterways Experiment station: Vicksburg.
Garcia M. H 2008 Sedimentation Engineering; ASCE.
Hyungsuk K., Kimura I. and Shimizu Y. 2011 Numerical simulation of channel meandering processes; River, Coastal and Estuarine Morphodynamics: RCEM2011.
Hasegawa K 1981 Bank-erosion discharge based on a non-equilibrium theory; Proc. JSCE, Tokyo 316 37–50 (in Japanese).
Ikeda S, Parker G and Sawai K 1981 Bend theory of river meanders: 1. Linear development; J. Fluid Mech. 112 363–377.
Ikeda S, Yamasaka M and Chiyoda M 1987 Bed topography and sorting in bends; J. Hydraul. Div. 113 190–206.
Johannesson H and Parker G 1989 Linear theory of river meanders; Water Resour. Monograph. 12 181–213.
Julien P Y and Anthony D J 2002 Bed load motion and grain sorting in a meandering stream; J. Hydraul. Res. 40 (2) 125–133.
Kassem A. and Chaudhry M H 2005 Effect of bed armoring on bed topography of channel bends; J. Hydraul. Eng. 131 1136–1140.
Knighton D. 1984 Fluvial Forms and Processes; John Wiley&Sons Inc., New York.
Kalkwijk J P T and de Vriend H J 1980 Computation of the flow in shallow river bends; J. Hydraul. Res. 18 (6) 327–342.
Koch F G and Flokstra C 1981 Bed level computations for curved alluvial channels; Proceedings of the XIXth Congress of the IAHR, pp. 357–364.
Kovacs A and Parker G 1994 A new vectorial bedload formulation and its application to the time evolution of straight river channels; J. Fluid Mech. 267 153–183.
Karim F M and Holly F M J. 1986 Armoring and sorting simulation in alluvial rivers; J. Hydraul. Eng. 112 (10) 705–715.
Lien H C, Hsieh T Y, Yang J C and Yeh K C 1999 Bend flow simulation using 2D depth-averaged model; J. Hydraul. Eng. 125 (10) 1097–1108.
Mosselman E 1998 Morphological modeling of rivers with erodible banks; Hydrol. Process. 12 (10) 1357–1370.
Nicholas A P and Smith G H S 1999 Numerical simulation of three-dimensional flow hydraulics in a braided channel; Hydrol. Process. 13 913–929.
Odgaard A J 1981 Transverse bed slope in alluvial channel bends; J. Hydraul. Div. 107 1677–1694.
Osman A M and Thorne C R 1988 Riverbank stability analysis. I: Theory; J. Hydraul. Eng. 114 (2) 134– 150.
Schuurman F, Marra W A and Kleinhans M G 2013 Physics-based modeling of large braided sand-bed rivers: Bar pattern formation, dynamics and sensitivity; J. Geophys. Res.: Earth Surface 118 (6) 2509–2527.
Schumm S. A, Mpsley M P. and Weaver W. E 1987 Experimental Fluvial Geomorphology; New York, ISBN-10:0471830771.
Talmon A M, Struiksma N and Van Mierlo M C L M 1995 Laboratory measurements of the direction of sediment transport on transverse alluvial-bed slopes; J. Hydraul. Res. 33 4.
Varshney D V 1975 Shear distribution in bend in rectangular channels; J. Hydraul. Div., ASCE 101 (10) 1053– 1066.
Van Rijn L C 1989 Sediment Transport by Currents and Waves; Report H461, Technical Report, Delft Hydraulics.
Van Rijn L C 1993 Principles of sediment transport in rivers, estuaries and coastal seas; Aqua Publications, The Netherlands.
Van Dijk W M, van de Lageweg W I and Kleinhans M G 2012 Experimental meandering river with chute cut-offs; J. Geophys. Res. 117 F03023.
Wang H, Zhou G and Shao X J 2010a Numerical simulation of channel pattern changes. Part I: Mathematical model; Int. J. Sedim. Res. 4 366–378.
Xia J Q, Wang G Q and Wu B S 2003 Numerical simulation for the longitudinal and lateral deformation of riverbed in the lower Yellow River. 1: Establishment of a 2-D composite model. Numerical simulation of flow and bed deformation in meandering rivers considering the erosion of bank; Adv. Water Sci. 14 (6) 390– 395.
Yen C L and Lee K T 1995 Bed topography and sediment sorting in channel bend with unsteady flow; J. Hydraul. Eng. 121 (10) 591–599.
Zimmerman C and Kennedy J F 1978 Transverse bed slopes in curved alluvial streams; J. Hydraul. Div. 104 33– 48.
Zolezzi G and Seminara G 2001 Downstream and upstream influence in river meandering. Part1: General theory and application to overdeepening; J. Fluid Mech. 438 183–211.
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This research is supported by the National Natural Science Foundation of China (51409027), the Science and Technology Research Foundation of Chongqing Municipal Education Commission (Grant No. KJ1500502).
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XIAO, Y., ZHOU, G. & YANG, F.S. 2D numerical modelling of meandering channel formation. J Earth Syst Sci 125, 251–267 (2016). https://doi.org/10.1007/s12040-016-0662-5
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DOI: https://doi.org/10.1007/s12040-016-0662-5