A mathematical model for meandering rivers with varying width

Journal of Geophysical Research: Earth Surface

Volumn 118, Issue 3, 2013, Pages 1641-1657

  Frascati, Alessandro ^a,b   Lanzoni, Stefano ^a  

^a UNIVERSITY OF PADOVA   (Italy)

^b SHELL GLOBAL SOLUTIONS INTERNATIONAL B V   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALLUVIAL DEPOSIT; CHANNEL MORPHOLOGY; FLOW FIELD; MEANDER; NUMERICAL MODEL; RIVER EVOLUTION; SPATIAL DISTRIBUTION; TOPOGRAPHY;

ITALY; PO RIVER;

EID: 84887841879     PISSN: None     EISSN: 21699011     Source Type: Journal    
DOI: 10.1002/jgrf.20084     Document Type: Article

References (53)

1. Agenzia Interregionale per il Fiume Po (2005). Rilievo sezioni topografiche trasversali nella fascia B del Fiume Po, dalla confluenza con il Ticino al Mare, Parma (Italy).
2. Allmendinger, N. E., J. E. Pizzuto, N. Potter Jr., T. E. Johnson, and W. Cully Hession (2005), The influence of riparian vegetation on stream width, eastern Pennsylvania, USA, GSA Bulletin, 117, 229-243, doi:10.1130/B25447.1.
3. Autorità di Bacino del Fiume Po (2007), Programma Generale di Gestione dei Sedimenti Alluvionali dell'alveo del Fiume Po. Stralcio Confluenza Arda-Incile Po di Goro, 141 pp., Parma (Italy).
4. Autorità di Bacino del Fiume Po (2009). Atlante Geomorfologico del Fiume Po., Parma (Italy).
5. Batchelor, G. K. (2000), An Introduction to Fluid Dynamics, Cambridge, Univ. U. K.
6. Blondeaux, P., and G. Seminara (1985), A unified bar-bend theory of river meanders, J. Fluid Mech., 157, 449-470.
7. Bolla Pittaluga, M., and G. Seminara (2011), Nonlinearity and unsteadiness in river meandering: A review of progress in theory and modelling, Earth Surf. Processes Landforms, 36 (1), 20-38, doi:10.1002/esp.2089.
8. Bolla Pittaluga, M., G. Nobile, and G. Seminara (2009), A nonlinear model for river meandering, Water Resour. Res., 45, W04432, doi:10.1029/2008WR007298.
9. Brice, J. C. (1975), Air photo interpretation of the form and behavior of alluvial rivers, Final Report to the U.S. Army Research Office-Durham, Wash. Univ., St. Louis, Mo., 10 pp.
10. Brice, J. D. (1983), Factors in stability of relocated channels, J Hydraul. Eng., 109 (10), 1298-1313.
11. Camporeale, C., P. Perona, A. Porporato, and L. Ridolfi (2007), Hierarchy of models for meandering rivers and related morphodynamic processes, Rev. Geophys., 45, RG1001, doi:10.1029/2005RG000185.
12. Chen, D., and J. Duan (2006), Modeling width adjustment in meandering channels, J. Hydrol., 321, 59-76.
13. Colombo, A., and F. Filippi (2010), La conoscenza delle forme e dei processi fluviali per la gestione dellassetto morfologico del fiume Po, Biol. Anim., 24, 331-3-48, in italian.
14. Crosato, A. (2007), Effects of smoothing and regridding in numerical meander migration models, Water Resour. Res., 43, W01401, doi:10.1029/ 2006WR005087.
15. Darby, S. E., A. M. Alabyan, and M. J. Van de Wiel (2002), Numerical simulation of bank erosion and channel migration in meandering rivers, Water Resour. Res., 38 (9), 1163, doi:10.1029/2001WR000602.
16. 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, Aero Rep. 74-11, Imperial Coll. London, London.
17. Duan, J., and P. Julien (2005), Numerical simulation of the inception of channel meandering, Earth Surf. Processes Landforms, 30, 1093-1110, doi:10.1002/esp.1264.
18. Einstein, A. H. (1950), The bedload function for sediment transport in open channel flow, U.S. Dep. Agric. Tech. Bull. 1026, Washington, D. C.
19. Engelund, F., and E. Hansen (1967), A Monograph on Sediment Transport in Alluvial Streams, Dan. Tech. Press, Copenhagen.
20. Federici, B., and C. Paola (2003), Dynamics of channel bifurcations in noncohesive sediments, Water Resour. Res., 39 (6), 1162, doi:10.1029/ 2002WR001434.
21. Frascati, A., and S. Lanzoni (2009), Morphodynamic regime and longterm evolution of meandering rivers, J. Geophys. Res., 114, F02002, doi:10.1029/2008JF001101.
22. Frascati, A., and S. Lanzoni (2010), Long term river meandering as a part of chaotic dynamics? A contribution from mathematical modelling, Earth Surf. Processes Landforms, 35, 791-802, doi:10.1002/esp.1974.
23. Hooke, J. M. (2007), Complexity, self-organisation and variation in behaviour in meandering rivers, Geomorphology, 91 (3-4), 236-258, doi:10.1016/j.geomorph.2007.04.021.
24. Howard, A. (1992), Modelling channel evolution and floodplain morphology, in Floodplain Processes, edited by M. G. Anderson, D. E. Walling, and P. D. Bates, 15-62, John Wiley, New York.
25. Johannesson, H., and G. Parker (1989), Linear theory of river meanders, in River Meandering, Water Resour. Monogr. Ser., vol. 12, edited by S. Ikeda and G. Parker, pp. 181-213, AGU, Washington D.C.
26. Kalkwijk, J. P., and Th. H. J. De Vriend (1980), Computation of the flow in shallow river bends, J. Hydraul. Res., 18, 327-342.
27. Lanzoni, S. (2000), Experiments on bar formation in a straight flume 2. Graded sediment, Water Resour. Res., 36 (11), 3351-3363.
28. Lanzoni, S., and M. Tubino (1999), Grain sorting and bar instability, J. Fluid Mech., 393, 149-174.
29. Lanzoni, S., A. Siviglia, A. Frascati, and G. Seminara (2006), Long waves in erodible channels and morphodynamic influence, Water Resour. Res., 42, W06D17, doi:10.1029/2006WR004916.
30. Lanzoni, S., and G. Seminara (2006), On the nature of meander instability, J. Geophys. Res., 111, F04006, doi:10.1029/2005JF000416.
31. Luchi, R., J. M. Hooke, G. Zolezzi, and W. Bertoldi (2010), Width variations and mid-channel bar inception in meanders: River Bollin (UK), Geomorphology, 119 (1-2), 1-8, doi:10.1016/j.geomorph. 2010.01.010.
32. Luchi, R., G. Zolezzi, and M. Tubino (2011), Bend theory of river meanders with spatial width variations, J. Fluid Mech., 681, 311-339, doi:10.1017/jfm.2011.200.
33. Luchi, R., M. Bolla Pittaluga, and G. Seminara (2012), Spatial width oscillations in meandering rivers at equilibrium, Water Resour. Res., 48, W05551, doi:10.1029/2011WR011117.
34. Mosselman, E. (1998), Morphological modelling of rivers with erodible banks, Hydrol. Processes, 12, 1357-1370.
35. Motta, D., J. D. Abad, E. J. Langendoen, and M. H. Garcia (2012), A simplified 2D model for meander migration with physicallybased bank evolution, Geomorphology, 163-164, 10-25, doi:10.1016/j.geomorph.2011.06.036.
36. Parker, G., G. Seminara, and L. Solari (2003), Bed load at low Shields stress on arbitrarily sloping beds: Alternative entrainment formulation, Water Resour. Res., 39 (7), 1183, doi:10.1029/2001WR001253.
37. Parker, G., Y. Shimizu, G. V.Wilkerson, E. C. Eke, J. D. Abad, J.W. Lauer, C. Paola, W. E. Dietrich, and V. R. Voller (2011), A new framework for modeling the migration of meandering rivers, Earth Surf. Processes Landforms, 36, 70-86, doi:10.1002/esp.2113.
38. Repetto, R., M. Tubino, and C. Paola (2002), Planimetric instability of channels with variable width, J. Fluid Mech., 457, 79-109.
39. Röuther, N., and N. Olsen (2007), Modelling free-forming meander evolution in a laboratory channel using three-dimensional computational fluid dynamics, Geomorphology, 89, 308-319, doi:10.1016/j.geomorph.2006.12.009.
40. Seminara, G. (2006), Meanders, J. Fluid Mech., 554, 271-297.
41. Seminara, G. (1998), Stability and morphodynamics, Meccanica, 33, 59-99.
42. Seminara, G., and L. Solari (1998), Finite amplitude bed deformations in totally and partially transporting wide channel bends, Water Resour. Res., 34, 1585-1594.
43. Smith, J. D., and S. R. McLean (1984), A model for flow in meandering streams, Water Resour. Res., 20, 1301-1315.
44. Solari, L., and G. Seminara (2005), On width variations in river meanders, paper presented at RCEM2005 Conference, Int. Assoc. for Hydro-Environ. Eng. and Res., Urbana, Ill., 4-7 Oct.
45. Sun, T., P.Meaking, T. Jossang, and K. Schwarz (1996), A simulationmodel for meandering rivers, Water Resour. Res., 32 (9), 2937-2954.
46. Talmon, A. M., N. Struiksma, and M. C. L. M. V. Mierlo (1995), Laboratory measurements of the sediment transport on transverse alluvial-bed slopes, J. Hydraul. Res., 33, 495-517.
47. Tennekes, H., and J. L. Lumley (1972), A First Course in Turbulence, MIT Press, Cambridge, Mass.
48. Transportation Research Board of the National Academies (2004), Methodology for predicting channel migration, NCHRP Web-Only Doc. 67 (Project 24-16), Washington, D. C. [Available at http://onlinepubs.trb.org/onlinepubs/ nchrp/nchrp-w67.pdf].
49. Tubino, M. (1991), Growth of alternate bars in unsteady flows, Water. Resour. Res., 27 (1), 37-52.
50. Wolman,M. G., and J. P.Miller (1960), Magnitude and frequency of forces in geomorphic processes, J. Geol., 68, 54-74.
51. Wong, M., and G. Parker (2006), Reanalysis and correction of bed-load relation of Meyer-Peter and Muller using their own database, J. Hydraul. Eng., 132, 1159-1168.
52. 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.
53. Zolezzi, G., R. Luchi, and M. Tubino (2012), Modeling morphodynamic processes in meandering rivers with spatial width variations, Rev. Geophys., 50, RG4005, doi:10.1029/2012RG000392.