TECHNICAL PAPERS
Jul 1, 2005

Numerical Simulation of Relatively Wide, Shallow Channels with Erodible Banks

Publication: Journal of Hydraulic Engineering
Volume 131, Issue 7

Abstract

A two-dimensional numerical model was developed to simulate relatively wide, shallow rivers with an erodible bed and banks composed of well-sorted, sandy materials. A moving boundary-fitted coordinate system was used to calculate water flow, bed change, and bank erosion. The cubic interpolated pseudoparticle method was used to calculate flow, which introduced little numerical diffusion. The sediment-transport equation for the streamline and transverse transport was used to estimate bed and bank evolution over time, while considering the secondary flow. Bank erosion was simulated when the gradient in the cross-sectional direction of the banks was steeper than the submerged angle of repose because of bed erosion near the banks. The numerical model reproduced the features of central bars well, such as bar growth, channel widening due to divergence of the flow around the bars, scour holes at the lee of the bars, and the increase of bar size with time. These features were in accordance with the observations for laboratory experiments. It also reproduced the features of braided rivers, such as the generation of new channels and abandonment of old channels, the bifurcation and confluence of channels, and the lateral migration of the channels. The model showed that the sediment discharge rate fluctuated with time, one of the dynamic features observed in braided channels.

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References

ASCE Task Committee on Hydraulics, Bank Mechanics and Modeling of River Width Adjustment. (1998). “River width adjustment. I: Processes and mechanisms.” J. Hydraul. Eng., 124(9), 881–902.
Ashmore, P. E. (1982). “Laboratory modeling of gravel braided stream morphology.” Earth Surf. Processes Landforms, 7, 201–225.
Ashmore, P. E. (1988). “Bed load transport in braided gravel-bed stream models.” Earth Surf. Processes Landforms, 13, 677–695.
Ashmore, P. E. (1991). “How do gravel-bed rivers braid?” Can. J. Earth Sci., 28, 326–341.
Ashmore, P. E. (2001). “Braiding phenomena: statics and kinestics.” Gravel-bed rivers V, M. P. Mosley, ed., New Zealand Hydrological Society, Wellington, New Zealand, 95–114.
Blondeaux, P., and Seminara, G. (1985). “A unified bar-bend theory of river meanders.” J. Fluid Mech., 157, 449–470.
Bradford, S. F., and Sanders, B. F. (2002). “Finite-volume model for shallow-water flooding of arbitrary topography.” J. Hydraul. Eng., 128(3), 289–298.
Darby, S. E., Alabyan, A. E., and Van de Wiel, M. J. (2002). “Numerical simulation of bank erosion and channel migration in meandering rivers.” Water Resour. Res., 38(9), 1163.
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(4), 184–193.
Darby, S. E., and Thorne, C. R., and Simon, A. (1996). “Numerical simulation of widening and bed deformation of straight sand-bed rivers. II: Model evaluation.” J. Hydraul. Eng., 122(4), 194–202.
Engelund, F. (1974). “Flow and bed topography in channel beds.” J. Hydraul. Div., Am. Soc. Civ. Eng., 100(11), 1631–1648.
Enggrob, H. G., and Tjerry, S. (1999). “Simulation of morphological characteristics of a braided river.” IAHR Symp. on River, Coastal, and Estuarine Morphodynamics, IAHR, Genova, Italy, 585–594.
Federici, B., and Paola, C. (2003). “Dynamics of channel bifurcations in noncohesive sediments.” Water Resour. Res., 39(6), 1162.
Fujita, Y. (1989). “Bar and channel formation in braided streams.” River meandering, S. Ikeda and G. Parker, eds., AGU Water Resources Monograph, 12, 417–462.
Hasegawa, K. (1984). “Hydraulic research on planimetric forms, bed topographies and flow in alluvial rivers.” PhD dissertation, Hokkaido Univ., Sapporo, Japan (in Japanese).
Hoey, T. B., and Sutherland, A. J. (1991). “Channel morphology and bedload pulses in braided rivers: a laboratory study.” Earth Surf. Processes Landforms, 16, 447–462.
Ikeda, S., Parker, G., and Sawai, K. (1981). “Bend theory of river meanders. Part 1. Linear development.” J. Fluid Mech., 112, 363–377.
Iwagaki, Y. (1956). “Hydrodynamical study on critical tractive force.” Proc., JSCE, 41, 1–21 (in Japanese).
Kishi, T., and Kuroki, M. (1973). “Bed form and flow resistance in alluvial rivers (I).” Research Rep., Faculty of Engineering, Hokkaido Univ., 67, 1–23 (in Japanese).
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.
Kuroki, M., and Kishi, T. (1984). “Regime criteria on bars and braids in alluvial straight channels.” Proc., JSCE, 342, 87–96 (in Japanese).
Leopold, L. B., and Wolman, M. G. (1957). “River channel patterns: braided, meandering and straight.” U.S. Geol. Surv. Prof. Pap., 282-B, 39–84.
McArdell, B. W., and Faeh, R. (2001). “A computational investigation of river braiding.” Gravel-bed rivers V, M. P. Mosley, ed., New Zealand Hydrological Society, Wellington, New Zealand, 73–86.
Meyer-Peter, E., and Muller, R. (1948). “Formulas for bed-load transport.” Proc., 2nd Congress, IAHR, Stockholm, Sweden, 2(2), 39–64.
Murray, A. B., and Paola, C. (1994). “A cellular model of braided rivers.” Nature (London), 371, 54–57.
Murray, A. B., and Paola, C. (1997). “Properties of a cellular braided-stream model.” Earth Surf. Processes Landforms, 22, 1001–1025.
Nagata, N., Hosoda, T., and Muramoto, Y. (2000). “Numerical analysis of river channel processes with bank erosion.” J. Hydraul. Eng., 126(4), 243–252.
Parker, G., Sawai, K., and Ikeda, S. (1982). “Bend theory of river meanders. Part 2. Nonlinear deformation of finite-amplitude bends.” J. Fluid Mech., 115, 303–314.
Pizzuto, J. E. (1990). “Numerical simulation of gravel river widening.” Water Resour. Res., 26(9), 1971–1980.
Shimizu, Y. (2002). “A method for simultaneous computation of bed and bank deformation of a river.” River Flow 2002, Int. Conf. on Fluvial Hydraulics, Louvain-la-Neuve, Belgium, 793–801.
Shimizu, Y., Hirano, N., and Watanabe, Y. (1996). “Numerical calculation of bank erosion and free meandering.” Annu. J. Hydr. Engrg., JSCE, 40, 921–926 (in Japanese).
Shimizu, Y., Kurabayashi, H., and Fujita, M. (2001). “Numerical calculation of bed deformation in braided stream.” Annu. J. Hydr. Engrg., JSCE, 45, 739–744 (in Japanese).
Sun, T., Meakin, P., and Jossang, T. (2001a). “A computer model for meandering rivers with multiple bed load sediment sized, 1, Theory.” Water Resour. Res., 37(8), 2227–2241.
Sun, T., Meakin, P., and Jossang, T. (2001b). “A computer model for meandering rivers with multiple bed load sediment sized, 2, Computer simulations.” Water Resour. Res., 37(8), 2243–2258.
Watanabe, A., Fukuoka, S., Yasutake, Y., and Kawaguchi, H. (2001). “Groin arrangements made of natural willows for reducing bed deformation in a curved channel.” Adv. River Eng., 7, 285–290 (in Japanese).
Yabe, T., and Aoki, T. (1991). “A universal solver for hyperbolic equations by cubic-polynomial interpolation I. One-dimensional solver.” Comput. Phys. Commun., 66, 219–232.
Yabe, T., Ishikawa, T., Kadota, Y., and Ikeda, F. (1990). “A numerical cubic-interpolated pseudoparticle (CIP) method without time splitting technique for hyperbolic equations.” J. Phys. Soc. Jpn., 59(7), 2301–2304.
Yabe, T., Ishikawa, T., Wang, P. Y., Aoki, T., Kadota, Y., and Ikeda, F. (1991). “A universal solver for hyperbolic equations by cubic-polynomial interpolation II. Two and three-dimensional solvers.” Comput. Phys. Commun., 66, 233–242.
Zhao, D. H., Shen, H. W., Tabios, G. Q., III, Lai, J. S., and Tan, W. Y. (1994). “Finite-volume two-dimensional unsteady-flow model for river basins.” J. Hydraul. Eng., 120(7), 863–883.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 131Issue 7July 2005
Pages: 565 - 575

History

Received: Aug 26, 2002
Accepted: Dec 7, 2004
Published online: Jul 1, 2005
Published in print: Jul 2005

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Authors

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Chang-Lae Jang [email protected]
Senior Researcher, Korea Institute of Water and Environment, KOWACO, 462-1, Jeonmin-dong, Yuseong-gu, Daejeon, 305-730, Korea. E-mail: [email protected]
Yasuyuki Shimizu [email protected]
Professor, Division of Environmental and Resource Engineering, Hokkaido Univ., North 13, West 8, Kitaku, Sapporo, Hokkaido, 060-8628, Japan. E-mail: [email protected]

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