On the long-term behavior of meandering rivers

Water Resources Research

Volumn 41, Issue 12, 2005, Pages 1-13

  Camporeale, C ^a   Perona, P ^b   Porporato, A ^c   Ridolfi, L ^a  

^a POLITECNICO DI TORINO   (Italy)

^b ETH ZURICH   (Switzerland)

^c Duke University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; FRICTION; GEOMORPHOLOGY; HYDRODYNAMICS;

ERODIBILITY COEFFICIENT; HYDRODYNAMIC MECHANISMS; MEANDERING RIVERS; RIVER MORPHODYNAMICS;

RIVERS;

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; FRICTION; GEOMORPHOLOGY; HYDRODYNAMICS; RIVERS;

FLUID DYNAMICS; LONG-TERM CHANGE; MEANDER; MORPHODYNAMICS; RIVER CHANNEL;

EID: 31444432404     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2005WR004109     Document Type: Article

References (47)

1. Allen, J. R. L. (1984), Sedimentary Structures: Their Character and Physical Basis, Elsevier, New York.
2. Argyris, J., G. Faust, and M. Haase (1994), An Exploration of Chaos, Texts Comput. Mech., vol. 7. Elsevier, New York.
3. Beck, S. (1984), Mathematical modelling of meander interaction, in River Meandering, edited by C. M. Elliott, pp. 932-941, Am. Soc. of Civil Eng., New York.
4. Beck, S., D. A. Melfi, and K. Yalamanchili (1984), Lateral migration of the Genesses River, New York, in River Meandering, edited by C. M. Elliott, pp. 510-517, Am. Soc. of Civil Eng., New York.
5. Brower, R. C., D. A. Kessler, J. Koplik, and H. Levine (1984), Geometrical models of interface evolution, Phys. Rev. A, 29, 1335-1342.
6. Carlston, C. W. (1965), The relation of free meander geometry to stream discharge and its geomorphic implications, Am. J. Sci., 263, 864-885.
7. Chang, T. P., and G. H. Toebes (1970), A statistical comparision of meander planforms in the Wabash basin, Water Resour. Res., 6, 557-578.
8. Chitale, S. V. (1970), River channel patterns, J. Hydraul. Div. Am. Soc. Civil Eng., 96(1), 201-221.
9. Dean, R. B. (1974), Reynolds number dependence on skin friction in two dimensional rectangular duct flow and a discussion on the law of the Wake, IC Aero. Rep. 74-11, Imperial Coll. of Sci. and Technol., London.
10. Do Carmo, M. (1976), Differential Geometry of Curves and Surface, Prentice-Hall, Upper Saddle River, N. J.
11. Edwards, B. F., and D. H. Smith (2002), River meandering dynamics, Phys. Rev. E, 65, 046303.
12. Furbish, D. J. (1991), Spatial autoregressive structure in meander evolution, Geol. Soc. Am. Bull., 103(12), 1576-1589.
13. Gagliano, S. M., and P. C. Howard (1984), The neck cutoff oxbow lake along the lower Mississippi river, in River Meandering, edited by C. M. Elliot, pp. 147-158, Am. Soc. of Civil Eng., New York.
14. Hansen, E. (1967), On the formation of meanders as a stability problem, Prog. Rep. 13, Coastal Eng. Lab., Tech. Univ. of Denmark, Lyngby, Denmark.
15. Howard, A. D. (1984), Simulation model of meandering, in River Meandering, edited by C. M. Elliott, pp. 952-963, Am. Soc. of Civil Eng., New York.
16. Howard, A. D. (1992), Modeling channel migration and floodplain sedimentation in meandering streams, in Lowland Floodplain Rivers: Geomorphological Perspectives, edited by P. A. Carling and G. E. Petts, pp. 1-41, John Wiley, Hoboken, N. J.
17. Howard, A. D., and A. T. Hemberger (1991), Multivariate characterization of meandering, Geomorphology, 4, 161-186.
18. Ikeda, S. G., G. Parker, and K. Sawai (1981), Bend theory of river meanders: 1. Linear development, J. Fluid Mech., 112, 363-377.
19. Jansen, P., L. Van Bendegom, J. Van Den Berg, M. de Vries, and A. Zanen (1979), Principles of River Engineering: The Non Tidal Alluvial River, Pitman, London.
20. Jefferson, M. S. W. (1902), Limiting width of meander belts, Natl. Geogr. Mag., 13, 373-384.
21. Johannesson, H., and G. Parker (1989), Linear theory of river meanders, in River Meandering, Water Resour. Monogr., vol. 12, edited by S. Ikeda and G. Parker, pp. 181-214, AGU, Washington, D. C.
22. Kantz, H., and T. Schreiber (1997), Nonlinear Time Series Analysis, Cambridge Univ. Press, New York.
23. Leopold, L. B., and M. G. Wolman (1960), River meanders, Bull. Geol. Soc. Am., 71, 769-794.
24. Leopold, L. B., M. G. Wolman, and J. P. Miller (1964), Fluvial Processes in Geomorphology, W. H. Freeman, San Francisco, Calif.
25. Liverpool, T. B., and S. F. Edwards (1995), Dynamics of a meandering river, Phys. Rev. Lett., 75(16), 3016-3019.
26. Matthes, G. H. (1941), Basic aspects of stream meanders, Eos Trans. AGU, 22, 632-636.
27. Nakayama, K., H. Segur, and M. Wadati (1992), Integrability and the motion of curves, Phys. Rev. Lett., 69(18), 2603-2606.
28. Nikora, V., V. B. Sapozhnikov, and D. A. Noever (1993), Fractal geometry of individual river channels and its computer simulation, Water Resour. Res., 29, 3561-3568.
29. Odgaard, A. J. (1986), Meander flow model. I: Development, J. Hydraul. Eng., 112(12), 1117-1136.
30. Parker, G. (1976), On the cause and characteristic scales of meandering and braiding in rivers, J. Fluid Mech., 76, 457-483.
31. Parker, G., and E. D. Andrews (1986), On the time development of meanders bends, J. Fluid Mech., 162, 139-156.
32. Parker, G., and H. Johannesson (1989), Observations on several recent theories of resonance and overdeepening in meandering channels, in River Meandering, Water Resour. Monogr., vol. 12, edited by S. Ikeda and G. Parker, pp. 379-415, AGU, Washington, D. C.
33. Parker, G., P. Diplas, and J. Akiyama (1983), Meanders bends of high amplitude, J. Hydraul. Eng. Am. Soc. Civil Eng., 109(10), 1323-1337.
34. Perona, P., A. Porporato, and L. Ridolfi (2002), River dynamics after cutoff: A discussion of different approaches, in Proceedings of the River Flow 2002 International Conference on Fluvial Hydraulics, edited by D. Bousmar and Y. Zech, pp. 715-721, Int. Assoc. for Hydraul. Res., Madrid, Spain.
35. Perucca, E., C. Camporeale, and L. Ridolfi (2005), Nonlinear analysis of the geometry of meandering rivers, Geophys. Res. Lett., 32, L03402, doi:10.1029/2004GL021966.
36. Pizzuto, J., and T. Meckelnburg (1989), Evaluation of a linear bank erosion equation, Water Resour. Res., 25, 1005-1013.
37. Seminara, G. (1998), Stability and morphodynamics, Meccanica, 33, 59-99.
38. Seminara, G., M. Tubino, and D. Zardi (1994), Planimetric evolution of meandering rivers from incipient formation to cutoff (in Italian), paper presented at XXIV Convegno di Idraulica e Costruzioni Idrauliche, Cons. Naz. delle Ric, Naples, Italy, 20-22 Sept.
39. Seminara, G., G. Zolezzi, M. Tubino, and D. Zardi (2001), Downstream and upstream influence in river meandering, part 2. Planimetric development, J. Fluid. Mech., 438, 213-230.
40. Snow, R. S. (1989), Fractal sinuosity of streams channels, Pure Appl. Geophys., 131, 99-109.
41. Stølum, H. H. (1996), River meandering as a self-organized process, Science, 271, 1710-1713.
42. Stølum, H. H. (1997), Fluctuations at the self-organized critical state, Phys. Rev. E., 56, 6710-6718.
43. Stølum, H. H. (1998), Planform geometry and dynamics of meandering rivers, Am. Bull. Geol. Soc., 110(11), 1485-1498.
44. Sun, T., T. Jøssang, P. Meakin, and K. Schwarz (1996), A simulation model for meandering rivers, Water Resour. Res., 32, 2937-2954.
45. Sun, T., P. Meakin, and T. Jøssang (2001), A computer model for meandering rivers with multiple bed load sediment size: 1. Theory, Water Resour. Res., 37, 2227-2241.
46. Swanson, D. C. (1993), The importance of fluvial processes and related reservoir deposits, J. Pet. Technol., 368-377.
47. Zolezzi, G., and G. Seminara (2001), Downstream and upstream influence in river meandering. Part 1. General theory and application to overdeepening, J. Fluid Mech., 438, 183-211.