Simulating river meandering processes using stochastic bank erosion coefficient

Geomorphology

Volumn 163-164, Issue , 2012, Pages 26-36

  Posner, Ari J ^a   Duan, Jennifer G ^b  

^a UNIVERSITY OF ARIZONA   (United States)

^b University of Arizona   (United States)

Author keywords

Bank erosion; Meander; Monte Carlo; Stochastic

Indexed keywords

BANK EROSION; FLUVIAL GEOMORPHOLOGY; MEANDER; MONTE CARLO ANALYSIS; RIVER BANK; RIVER SYSTEM; STOCHASTICITY;

EID: 84862508583     PISSN: 0169555X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomorph.2011.05.025     Document Type: Article

References (45)

1. Box G.E.P., Muller Mervin E. A note on the generation of random normal deviates. Ann. Math. Stat. 1958, 29(2):610-611.
2. Camporeale C., Perona P., Porporato A., Ridolfi L. On the long term behavior of meandering rivers. Water Resour. Res. 2005, 41:W12403. 10.1029/2005WR004109.
3. Camporeale C., Perona P., Porporato A., Ridolfi L. Hierarchy of models for meandering rivers and related morphodynamic processes. Rev. Geophys. 2007, 45. RG1001. 10.1029/2005RG000185.
4. Cheng N., Law A.W. Fluctuations of turbulent bed shear stress. J. Hydraul. Eng. 2003, 129(1):126-130.
5. Constantine C.R., Dunne T., Hanson G.J. Examining the physical meaning of the bank erosion coefficient used in meander migration modeling. Geomorphology 2009, 106:242-252.
6. Crosato A. Simulation of meandering river processes, communications on hydraulic and geotechnical engineering. Technical report, Civil Engineering Department, Delft University of Technology 1990.
7. Crosato A. Effects of smoothing and regridding in numerical meander migration models. Water Resour. Res. 2007, 43(1):W01401. doi:10.1029/2006WR005087.
8. Darby S.E., Thorne C.R. Prediction of tension crack location and riverbank erosion hazards along destabilized channels. Earth Surf. Process. Land. 1994, 19:233-245.
9. Darby S.E., Thorne C.R. Development and testing of riverbank-stability analysis. J. Hydraul. Eng. 1996, 122(8):443-454.
10. Darby S.E., Alabyan A.M., Van De Wiel M.J. Numerical simulation of bank erosion and channel migration in meandering rivers. Water Resour. Res. 2002, 38(9):2-1-2-12.
11. Duan, G. H., 1998. Simulation of alluvial channel migration processes with a two-dimensional numerical model, Dissertation, the Center for Computational Hydroscience and Engineering, the University of Mississippi, University, Mississippi.
12. Duan J.G. Discussion of "numerical analysis of river channel processes with bank erosion". J. Hydraul. Eng. 2001, 127(8):702-703.
13. Duan J.G. Analytical approach to calculate the rate of bank erosion. J. Hydraul. Eng. 2005, 131(11):980-990.
14. Duan J., Barkdoll B. Surface-based fractional transport predictor: deterministic or stochastic. J. Hydraul. Eng. 2008, 134(3):350-353.
15. Duan J.G., Julien P. Numerical simulation of the inception of meandering channel, Earth Surf. Process. Landf. 2005, 30:1093-1110.
16. Engelund F. Flow and bed topography in channel bends. J. Hydraul. Div. 1974, 100(11):1631-1648.
17. Frascati A., Lanzoni S. Morphodynamic regime and long-term evolution of meandering rivers. J. Geophys. Res. 2009, 114:F02002. 10.1029/2008JF001101.
18. Friedkin J.F. A Laboratory Study of the Meandering of Alluvial Rivers 1945, U.S Army Engineers Waterways Experiment Station, Vicksburg, MS.
19. Gottlieb L. Three-dimensional flow pattern and bed topography in meandering channels. Series Paper 1976, 11. Institute of Hydrodynamics and Hydraulic Engineering, Technical University of Denmark, Copenhagen, Denmark.
20. Hasegawa K. Universal bank erosion coefficient for meandering rivers. J. Hydraul. Eng. 1989, 115:744-765.
21. Hasegawa K., Ito H. Computer simulations on meander channel changes. Proc., Hokkaido Branch, Japan Society of Civil Engineering 1978, 34.
22. Hooke J.M., Rohrer W. Geometry of alluvial fans: effect of discharge and sediment size. Earth Surf. Process. Land. 1979, 4:147-166.
23. Ikeda S. On secondary flow and bed profiles in alluvial curved open channels. Proceedings of the XVIth JAHR Congress, Sao Paolo 1975.
24. Ikeda S., Nishimura T. Flow and bed profile in meandering sand-silt rivers. J. Hydraul. Eng. 1986, 112(7):5 62-5 579.
25. Ikeda S., Parker G., Sawai K. Bend theory of river meanders: part I, Linear development. J. Fluid Mech. 1981, 112:363-377.
26. Imram J., Parker J.G., Pirmez C. A nonlinear model of flow in meandering submarine and subearial channels. J. Fluid Mech. 1999, 400:295-331.
27. Johannesson, H., 1985. Computer Simulation migration of meandering rivers. Thesis presented to the Univeristy of Minnesota, at Minneapolis, in partial fulfillment for the degree of Master of Science.
28. Johannesson H., Parker G. Secondary flow in mildly sinuous channel. J. Hydraul. Eng. 1989, 115(3):289-308.
29. Johannesson H., Parker G. Velocity redistribution in meandering rivers. J. Hydraul. Eng. 1989, 115(8):1019-1039.
30. Kikkawa H., Ikeda S., Kitagawa A. Flow and bed topography in curved open channels. J. Hydraul. Div. 1976, 102(9):1327-1342.
31. Kitanidis P.K., Kennedy J.F. Secondary current and river meander formation. J. Fluid Mech. 1984, 144:217-229.
32. Langbien W.B., Leopold L.B. River Meanders-Theory of Minimum Variance. Physiographic and Hydraulic Studies of Rivers, Geologic Survey Professional Paper 422-H 1966.
33. Larsen E.W., Greco S.E. Modeling channel management impacts on river migration: a case study ofWoodson Bridge State Recreation Area, Sacramento River, California, USA. Environ. Manage. 2002, 30:209-224.
34. Lopez F., Garcia M.H. Wall similarity in turbulent open channel flow. J. Eng. Mech. 1999, 127(7):789-796.
35. Micheli E.R., Kirchner J.W. Effects of wet meadow riparian vegetation on streambank erosion. 1. Remote sensing measurements of streambank migration and erodibility. Earth Surf. Process. Land. 2002, 27:627-639.
36. Micheli E.R., Kirchner J.W., Larsen E.W. Quantifying the effects of riparian forest versus agricultural vegetation on river meander migration rates, central Sacramento River, California, USA. River Res. Appl. 2004, 20:537-548.
37. Osman A.M., Thorne C.R. Riverbank stability analysis. 1: theory. J. Hydraul. Eng. 1988, 114(2):134-150.
38. Parker G. Stability of the channel of the Minnesota River near State Bridge No. 93, Minnesota. Project Report No. 205, St. Anthony Falls Hydr. Lab Univ. of Minnesota, Minneapolis, Minn 1982, 33 pp.
39. Perucca E., Camporeale C., Ridolfi L. Significance of the riparian vegetation dynamics on meandering river morphodynamics. Water Resour. Res. 2007, 43:W03430. 10.1029/2006WR005234.
40. Pizzuto J.E., Meckelnburg T.S. Evaluation of a linear bank erosion equation. Water Resour. Res. 1989, 25:1005-1013.
41. Suga K. On local scour at river bends. Tech. Memo Public Works Res. Inst., Min. of Const. Japan 1963, 5(4).
42. Sun T., Meakin P., JØssang T., Schwarz K. A simulation model for meandering rivers. Water Resour. Res. 1996, 32:2937-2954.
43. Wallick J.R., Lancaster S.T., Bolte J.P. Determination of bank erodibility for natural and anthropogenic bank materials using a model of lateral migration and observed erosion along the Willamette River, Oregon, USA. River Res. Applic. 2006, 22:631-649.
44. Zimmerman C., Kennedy J.F. Transverse bed slope in curved alluvial streams. J. Hydraul. Div. 1978, 104(1):33-48.
45. Zolezzi G., Seminara G. Downstream and upstream influence in river meandering. Part 1. General Theory and application to overdeepening. J. Fluid Mech. 2001, 438:183-211.