Theoretical Morphodynamics: River Meandering

  • Giovanni Seminara,
  • Stefano Lanzoni,
  • Nicoletta Tambroni,

This monograph discusses the mechanics of Meandering Rivers with the help of the mathematical and modeling tools built up in the previous monograph of the same Authors (monograph 1 of the present series). After introducing the reader to the ubiquitous character of meandering streams, we discuss the hydrodynamics of curved channels with fixed beds and banks. Next, we extend the analysis to account for the mobile character of the bed and show that it gives rise to the alternate sequence of riffles and pools that characterize river meanders. Allowing for the erodible character of the river banks then allows to build up a rational theory of meander formation able to explain most of the features observed in nature: meander growth, migration, skewing, multiple loops, cutoffs and meander belts.

  • Keywords:
  • Morphodynamics,
  • rivers,
  • sediment transport,
  • meanders,
  • bars,
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Giovanni Seminara

University of Genoa, Italy - ORCID: 0000-0002-0360-2029

Stefano Lanzoni

Universiyty of Padoa, Italy - ORCID: 0000-0002-6621-2386

Nicoletta Tambroni

University of Genoa, Italy - ORCID: 0000-0002-2952-7290

Giovanni Seminara Master in Civil Engineering (University of Genoa), PhD in Applied Math (Imperial College, London), Professor Emeritus at the University of Genoa and Socio Nazionale of Accademia Nazionale dei Lincei.

Stefano Lanzoni Master in Hydraulic Engineering (University of Padua), PhD in Hydrodynamics (joint program, Universities of Genoa, Florence, Padua and Trent), Professor of Fluid Mechanics at the University of Padua.

Nicoletta Tambroni Master in Civil Engineering (University of Genoa), PhD in Fluid dynamics and Environmental Processes Engineering (University of Genoa), Associate Professor of Fluid Mechanics at the University of Genoa.
  1. Abad, J. D. (2008) Hydrodynamics and morphodynamics in Kinoshita meandering channels, Dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Civil Engineering in the Graduate College of the University of Illinois at Urbana-Champaign.
  2. Abad, J. D., and M. H. Garcia (2009), Experiments in a high-amplitude Kinoshita meandering channel: 2. Implications of bend orientation on bed morphodynamics, Water Resour. Res. , 45, W02402, DOI: 10.1029/2008WR007017
  3. Abad, J. D., Frias, C. E., Buscaglia, G. C., and Garcia, M. H. (2013). Modulation of the flow structure by progressive bedforms in the Kinoshita meandering channel, Earth Surface Processes and Landforms , 38(13), 1612-1622. https:// DOI: 10.1002/esp.3460
  4. Allen, J. R. L. (1965) A review of the origin and characteristics of recent alluvial sediments, Sedimentology, 5, 89-191 .
  5. Allen, J. R. L. (1985). Principles of Physical Sedimentology , Chapman and Hall, New York.
  6. Azpiroz-Zabala, M., Cartigny, M. J. B., Sumner, E. J., Clare, M. A., Talling, P. J., Parsons, D. R., and Cooper, C. (2017). A general model for the helical structure of geophysical flows in channel bends. Geophysical Research Letters , 44, 11,932-11,941. DOI: 10.1002/2017GL075721
  7. Bagnold, R. A. (1960), Some aspects of the shape of river meanders, U.S. Geol. Surv. Prof. Pap. 282-E, U.S. Geol. Surv., Washington, D.C.
  8. Bak, P., Tang, C. and Wiesenfeld, K. (1987) Self-organized criticality, Phys. Rev. Lett. , 59, 381-4.
  9. Bar-Yam, Y. (1997) Dynamics of Complex Systems, (Addison-Wesley, Reading, 1997).
  10. Bathurst, J. C., C. R. Thorne, and R. D. Hey (1977), Direct measurements of secondary currents in river bends, Nature, 269, 504-506 , DOI: 10.1038/269504a0
  11. Bathurst, J. C., C. R. Thorne, and R. D. Hey (1979), Secondary flow and shear stress at river bends, J. Hydraul. Div. Am. Soc. Civ. Eng., 105(10),1277-1295.
  12. Blanckaert, K., and H. J. de Vriend (2004), Secondary flow in sharp open-channel bends, J. Fluid Mech., 498, 353-380 , DOI: 10.1017/S0022112003006979
  13. Blanckaert, K., and W. H. Graf (2004), Momentum transport in sharp open channel bends, J. Hydraul. Eng., 130(3) , 186-198, DOI: 10.1061/(ASCE)0733-9429(2004)130:3(186)
  14. Blanckaert, K., F. Buschman, R. Schielen, and J. H. A. Wijbenga (2008), Redistribution of velocity and bed shear stress in straight and curved open channels by means of a bubble screen. Laboratory experiments, J. Hydraul. Eng., Am. Soc. Civ. Eng., 134(2) , 184-195, DOI: 10.1061/(ASCE)0733-9429(2008)134:2(184)
  15. Blanckaert, K., A. Duarte, Q. Chen, and A. J. Schleiss (2012), Flow processes near smooth and rough (concave) outer banks in curved open channels, J. Geophys. Res., 117 , F04020, DOI: 10.1029/2012JF002414
  16. Blondeaux, P., and G. Seminara (1985), A unified bar-bend theory of river meanders, J. Fluid Mech. , 157:449-479.
  17. Blondeaux, P., Colombini, M., Seminara, G. and G. Vittori, (2018), Introduction to Morphodynamics of Sedimentary Patterns, Monograph Series on Morphodynamics of Sedimentary Patterns , Ed. Genova University Press.
  18. Bogoni, M., Putti, M., and Lanzoni, S. (2017). Modeling meander morphodynamics over self-formed heterogeneous floodplains. Water Resources Research, 53, 5137-5157. DOI: 10.1002/2017WR020726
  19. Bolla Pittaluga, M., G. Nobile, and G. Seminara (2009), A nonlinear model for river meandering, Water Resour. Res. , 45, W04432, DOI: 10.1029/2008WR007298
  20. Bolla Pittaluga, M. and G. Seminara (2011) Nonlinearity and unsteadiness in river meandering: a review of progress in theory and modelling Earth Surf. Process. Landforms 36 , 20-38, DOI: 10.1002/esp.2089
  21. Booij, R. 2003 Measurements and large-eddy simulations of the flows in some curved flumes. J. Turbulence 4, 1-17 .
  22. Braudrick, C. A., W. E. Dietrich, G. T. Leverich, and L. S. Sklar (2009), Experimental evidence for the conditions necessary to sustain meandering in coarse bedded rivers, Proc. Natl. Acad. Sci. U. S. A., 106 , 16,936-16,941, DOI: 10.1073/pnas.0909417106
  23. Brice, J. C. (1973). Meandering pattern of the White River in Indiana: An analysis. In Fluvial Geomorphology. Morisawa M. (ed.) University of New York: Binghampton.
  24. Brice, J. (1974), Evolution of meander loops, Geol. Soc. Am. Bull., 85, 215-235 .
  25. Brice, J. (1982). Stream channel stability assessment. Report no. FHWA/RD, Federal Highway Administration, Offices of Research and Development .
  26. Brice, J. C. (1984), Planform properties of meandering rivers, Keynote paper, in River Meandering, Proceedings of the Conference Rivers, '83 New Orleans, LA, 24-26 October 1983, edited by C. M. Elliott, pp. 1-15, American Society of Civil Engineers, N. Y.
  27. Bridge, J. S., and J. Jarvis (1977), Velocity profiles and bed shear stress over various bed configurations in a river bend, Earth Surf. Processes Landforms, 2, 281-294 , DOI: 10.1002/esp.3290020402
  28. Brower, R. C., D. A. Kessler, J. Koplik, and H. Levine (1984), Geometrical models of interface evolution, Phys. Rev. A, 29, 1335-1342.
  29. Camporeale, C., and Ridolfi, L. (2006). Convective nature of the planimetric instability in meandering river dynamics. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 73(2).
  30. Camporeale, C., P. Perona, A. Porporato and L. Ridolfi (2005), On the long-term behavior of meandering rivers, Water Resour. Res., 41, W12403, DOI: 10.1029/2005WR004109
  31. 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
  32. Chang, Y. C. (1971) Lateral mixing in meandering channels, Ph.D. thesis, University of Iowa, USA.
  33. Cheng, K. C., Lin, R.C. and Ou, J. W. 1976 Fully developed laminar flow in curved rectangular channels. Trans. ASME: J. Fluids Engng 98, 41-48 .
  34. Christensen, B., Gislason, K. and J. Fredsoe, (1999) Secondary turbulent flow in an infinite bend. 1st RCEM Symp., Genova, Italy, vol. 1, pp. 543-553 .
  35. Churchill, R. V., Brown, J. W., 1987. Fourier Series and Boundary value problems, McGraw-Hill, New York.
  36. Clayton, J. A. (2010), Local sorting, bend curvature, and particle mobility in meandering gravel bed rivers, Water Resour. Res. , 46, W02601, DOI: 10.1029/2008WR007669
  37. Coddington, E. A. and Levinson, N. (1955) Theory of Ordinary Differential Equations . McGraw-Hill.
  38. Colombini, M., G. Seminara, and M. Tubino (1987), Finite-amplitude alternate bars, J. Fluid Mech. , 181:213-232.
  39. Colombini, M., Tubino, M. and Whiting, P. (1991) Topographic expression of bars in meandering channels. In Dynamics of Gravel-bed Rivers (ed. P. Billi, R. D. Hey, C. R. Thorne and P. Tacconi) . John Wiley and Sons.
  40. Constantinescu, G., Koken, M., Zeng, J., (2011), The structure of turbulent flow in an open channel bend of strong curvature with deformed bed: Insight provided by detached eddy simulation. Water Resour. Res. 47, W05515.
  41. Constantine, J.A., McLean, S.R. and Dunne, T. (2010). A mechanism of chute cutoff along large meandering rivers with uniform floodplain topography, Geol. Soc. Am. Bull. , 122, 855–869, DOI: 10.1130/B26560.1
  42. Crosato, A. (1990), Simulation of meandering river processes, in Communication on Hydraulic and Geotechnical Engineering, Rep. 903, Delft Univ. of Technol., Delft, Netherlands.
  43. Crosato, A. (2007), Effects of smoothing and regridding in numerical meander migration models, Water Resour. Res., 43, W01401, DOI: 10.1029/2006WR005087
  44. Darby, S.~E., Alabyan, A.~M., and Van de Wiel, M.~J. (2002). Numerical simulation of bank erosion and channel migration in meandering rivers. \textit{ Water Resources Research , 38(9), 2--21.
  45. Davila, J. and J. C. R. Hunt, 2001. Settling of small particles near vortices and in turbulence. J. Fluid. Mech. 440:117-145.
  46. Davis, W. M. (1893a) The Topographic Maps of the United States Geological Survey Science , 21 (534), 225-227.
  47. Davis, W. M. (1893b) The Osage River and the Ozark uplift Science , 22, 276-279.
  48. de Vriend, H. J. 1981 Velocity redistribution in curved rectangular channels. J. Fluid Mech. 107, 423-439 .
  49. Vries, M. de (1969) Riverbed variations. Aggradation and degradation. IAHR Seminar, New Delhi .
  50. Dean, W. R. (1927). Note on the motion of fluid in a curved pipe. Phil. Mag. 20 (20): 208-223 . DOI: 10.1080/14786440708564324
  51. Demuren, A. O., and Rodi, W. (1986). Calculation of flow and pollutant dispersion in meandering channels. J. Fluid Mech., Cambridge, U.K.,172, 63-92.
  52. Devaney, R. L. (1989) An Introduction to Chaotic Dynamical Systems, 2nd edn. Addison-Wesley.
  53. Dietrich WE, Smith JD. 1983. Influence of the point bar on flow through curved channels. Water Resour. Res. 19:1173-92
  54. Duarte, A. (2008), An experimental study on main flow, secondary flow and turbulence in open channel bends with emphasis on their interaction with the outer bank geometry, Ph.D. thesis 4227, Ecole Polytech. Fed. Lausanne, Lausanne, Switzerland
  55. Eaton B. C. and Church M. (2004) A graded stream response relation for bed load-dominated streams. J Geophys Res 109:F03011 DOI: 10.1029/2003JF000062
  56. Eckmann, J. P. and Ruelle, D. (1985). Ergodic theory of chaos and strange attractors. Reviews of Modern Physics 57: 617.
  57. Edwards, B. and Smith, D. (2002) River meandering dynamics. Phys. Rev. E 65, 046303.
  58. Eekhout, J.P.C. and Hoitink, A.J.F. (2015). Chute cutoff as a morphological response to stream reconstruction: The possible role of backwater, Water Resour. Res. , 51, 3339-3352, DOI: 10.1002/2014WR016539
  59. Einstein, A. (1926). Die Ursache der M\"{a anderbildung der Flussl\"{a ufe und des sogenannten Baerschen Gesetzes Die Naturwissenschaften, 14 (11), 223-224 DOI: 10.1007/BF01510300
  60. Eke, E. C. (2013) Numerical Modeling of river migration incorporating erosional and depositional bank processes. Dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Civil Engineering in the Graduate College of the University of Illinois at Urbana-Champaign.
  61. Eke, E., Parker, G. and Shimizu, Y. (2014a). Numerical modeling of erosional and depositional bank processes in migrating river bends with self-formed width: morphodynamics of bar push and bank pull. J. Geophys. Res. 119 (7), 1455-1483 .
  62. Eke, E. C., Czapiga, M. J., Viparelli, E. , Shimizu, Y., Imran, J., Sun, T and G. Parker (2014b). Coevolution of width and sinuosity in meandering rivers, J. Fluid Mech. 760, 127-174 , DOI: 10.1017/jfm.2014.556
  63. Engelund, F. (1974), Flow and bed topography in channel bends, J. Hydraul. Div. , 574 100 (11), 1631-1648.
  64. Federici, B. (1999) Experimental observations on bifurcations in braided rivers. Thesis, University of Genova. (In Italian.)
  65. Federici, B., and C. Paola (2003) Dynamics of channel bifurcations in noncohesive sediments, Water Resour. Res., 39(6), 1162, DOI: 10.1029/2002WR001434
  66. Federici, B., and G. Seminara (2003), On the convective nature of bar instability, J. Fluid Mech. , 487, 125-145.
  67. Ferguson, R. I., D. R. Parsons, S. N. Lane, and R. J. Hardy (2003), Flow in meander bends with recirculation at the inner bank, Water Resour. Res., 39(11), 1322 , DOI: 10.1029/2003WR001965
  68. Fern\`{a ndez, R., Parker, G. and Stark C. P. (2019) Experiments on patterns of alluvial cover and bedrock erosion in a meandering channel, Earth Surf. Dynam. , 7, 949-968.
  69. Finotello, A., Lanzoni, S., Ghinassi, M., Marani, M., Rinaldo, A., and D'Alpaos, A. (2018). Field migration rates of tidal meanders recapitulate fluvial morphodynamics. Proceedings of the National Academy of Sciences , 115(7), 1463-1468. DOI: 10.1073/pnas.1711330115
  70. Finotello, A., D'Alpaos, A., Bogoni, M., Ghinassi, M., and Lanzoni, S. (2020). Remotely-sensed planform morphologies reveal fluvial and tidal nature of meandering channels. Scientific Reports , 1-13. DOI: 10.1038/s41598-019-56992-w
  71. Fisk, H. N. (1952) Mississippi river valley geology relation to river regime, Trans. Am. Soc. Civ. Eng., 117, 667-689 .
  72. Frascati, A. and Lanzoni, S. (2009) Morphodynamic regime and long-term evolution of meandering rivers. Journal of Geophysical Research 114: F02002, DOI: 10.1029/2008JF001101
  73. Frascati, A. and Lanzoni, S. (2010) Long-term river meandering as a part of chaotic dynamics? A contribution from mathematical modelling, Earth Surface Process. and Landforms 35, 791-802 DOI: 10.1002/esp.1974
  74. Frascati, A., and Lanzoni, S. (2013). A mathematical model for meandering rivers with varying width. Journal of Geophysical Research: Earth Surface, 118, 1–17. DOI: 10.1002/jgrf.20084
  75. Friedkin, J. F., (1945) A laboratory study of the meandering of alluvial rivers: U. S. Waterways Expt. Sta., Vicksburg, Miss., 40 p.
  76. Fukuoka, S. (1971) Longitudinal dispersion in sinuous channels. Ph.D. thesis, University of Iowa, USA .
  77. Fuller, T. K. (2014) Field, Experimental and Numerical Investigations into the Mechanisms and Drivers of Lateral Erosion in Bedrock Channels A Dissertation submitted to the faculty of the University of Minnesota in partial fulfillment of the requirements for the degree of Doctor of Philosophy
  78. Fuller, T. K., Gran, K. B., Sklar, L. S., and Paola, C. (2016). Lateral erosion in an experimental bedrock channel: The influence of bed roughness on erosion by bed load impacts: Lateral Bedrock Erosion by Impact Wear. Journal of Geophysical Research: Earth Surface , 121(5), 1084-1105. DOI: 10.1002/2015JF003728
  79. Gagliano, S. M., and P. C. Howard (1983) The neck cutoff oxbow lake cycle along the lower Mississippi river, in River Meandering, Proceedings of the Conference Rivers '83, edited by Charles M. Elliott, pp. 147-158, Am. Soc. of Civ. Eng., New York .
  80. Garcia, M. and Nin o, Y. (1993) Dynamics of sediment bars in straight and meandering channels: experiments on the resonance phenomenon. J. Hydr. Res. 31, 739-761.
  81. Gautier, E., Brunstein, D., Vauchel, P., Roulet, M., Fuertes. O., Guyot, J. L., Darozzes, J. and Bourrel, L. (2007). Temporal relations between meander deformation, water discharge and sediment fluxes in the floodplain of the Rio Beni (Bolivian Amazonia). Earth Surface Processes and Landforms 32: 230-248.
  82. Gay, G.R., Gay, H.H., Gay, W.H., Martinson, H.A., Meade, R.H. and Moody, J.A. (1998). Evolution of cutoffs across meander neck in Powder River, Montana, USA, Earth Surf. Proc. Land. , 23, 651--662.
  83. Ge L, Sotiropoulos F. (2007). A numerical method for solving the 3D unsteady incompressible Navier Stokes equations in curvilinear domains with complex immersed boundaries, J Comput Phys , 225, 1782?809. DOI: 10.1016/
  84. Ghanmi, A. (1999). Modeling of flows between two consecutive reverse curves. J. Hydraul. Res., 37:1, 121-135 .
  85. G\"{o rtler, H. (1955). Dreidimensionales zur Stabilit$\ddot{a $tstheorie laminarer Grenzschichten. Journal of Applied Mathematics and Mechanics. 35 (9-10): 362-363 . DOI: 10.1002/zamm.19550350906
  86. Gran, K. B. (2000) Effects of riparian vegetation on braided stream dynamics: Experimental results, M.S. thesis, 138 pp., Univ. of Minnesota, Minneapolis.
  87. Gran K. and Paola C. (2001) Riparian vegetation controls on braided stream dynamics. Water Resour Res 37:3275-3283.
  88. Grassberger, P. and Procaccia, I. (1983a). Characterization of strange attractors. Physics Review Letters 50: 346-349 .
  89. Grassberger, P. and Procaccia, I. (1983b). Measuring the strangeness of strange attractors. Physica D 9: 189-208.
  90. Grenfell, M., Aalto, R. and Nicholas, A. (2012). Chute channel dynamics in large, sand-bed meandering rivers, Earth Surf. Proc. Land. , 37, 315–331, DOI: 10.1002/esp.2257
  91. Harmar, O. P., and N. J. Clifford (2006). Planform dynamics of the Lower Mississippi River, Earth Surf. Processes Landforms, 31(7), 825-843 , DOI: 10.1002/esp.1294
  92. Harte, D. (2001). Multifractals. Chapman \& Hall. pp. 3-4.
  93. Hausdorff, F. (1919). Dimension undausseres Mass . Mathematische Annalen. 79 (1-2): 157-179 . DOI: 10.1007/BF01457179
  94. Hey, R. and Thorne, C. (1986) Stable Channels with Mobile Gravel Beds, Journal of Hydraulic Engineering , 112(8), 671-689.
  95. Hille, P., Vehrenkamp, R. and Schulz-Dubois, E. O. 1985 The development and structure of primary and secondary flow in a curved square duct. J. Fluid Mech. 151, 219-241.
  96. Hooke, R. LeB., (1974). Distribution of sediment and shear stress in a meander bend, Jour. Geol., v. 83, p. 543-565.
  97. Hooke, J. M. (1986). The significance of mid-channel bars in an active meandering river, Sedimentology, 33, 839-850.
  98. Hooke, J. M. (2004) Cutoffs galore! Occurrence and causes of multiple cutoffs on a meandering river. Geomorphology 61: 225-238.
  99. Hooke, J.M., and Harvey, A.M. (1983), Meander changes in relation to bend morphology and secondary flows. In: Collinson, J., Lewin, J. (Eds.), Modern and Ancient Fluvial Systems Int. Assoc. Sediment Sp. Publs., vol. 6. Blackwells, Oxford, pp. 121 132.
  100. Hooke, J. M., and L. Yorke (2011). Channel bar dynamics on multi-decadal timescales in an active meandering river, Earth Surf. Processes Landforms, 36, 1910-1928 , DOI: 10.1002/esp.2214
  101. Howard, A. D. (1992) Modeling channel migration and floodplain sedimentation in meandering streams. In Lowland floodplain rivers: Geomorphological Perspectives (ed. Carling, P. A. and Petts, G. E.), pp. 1–41. John Wiley and Sons.
  102. Howard, A. D. (1996) Modelling channel evolution and floodplain morphology. In Floodplain Processes (ed. M. G. Anderson, D. E. Walling and P. D. Bates), pp. 15-62. John Wiley and Sons.
  103. Howard, A. D. (2009) How to make a meandering river, PNAS, vol. 106n. 4117245–17246
  104. Howard, A. D. and Knutson, T. R. (1984) Sufficient conditions for river meandering: a simulation approach. Water Resour. Res. 20, 1659-1667 .
  105. Hudson, P. F. (2002). Pool-riffle morphology in an actively migrating alluvial channel: The Lower Mississippi River, Phys. Geogr., 23(2), 154-169 .
  106. Ikeda, S., Hino, M. and Kihhawa, H., (1976) Theoretical study on the free meandering of rivers. Proc. Japan Soc. Civ. Engrs, 255, 63-73 (in Japanese).
  107. Ikeda S, Parker G, Sawai K. 1981. Bend theory of river meanders. Part 1. Linear development. J. Fluid Mech. , 112:363-77
  108. Ikeda, S., M. Yamasaka and M. Chiyoda (1987). Bed topography and sorting in bends, J. Hydraul. Eng. , 113(2), 190-206.
  109. Inoue, T., G. Parker, and C. P. Stark (2017), Morphodynamics of a bedrock-alluvial meander bend that incises as it migrates outward: approximate solution of permanent form. Earth Surf. Process. Landforms , 42, 1342-1354, DOI: 10.1002/esp.4094
  110. Iwasaki, T., Shimizu, Y. and Kimura, I. (2016). Numerical simulation of bar and bank erosion in a vegetated floodplain: A case study in the Otofuke River. Adv. Water Resour. , 93, 118-134, DOI: 10.1016/j.advwatres.2015.02.001
  111. Jansen, P. P. (1979) Principles of river engineering: the non-tidal alluvial river, Pitman .
  112. Jefferson, W. S. (1902) Limiting width of meander belts, Natl. Geogr. Mag., 13, 373-383.
  113. Jin, D., and Schumm, S. A., (1987) A new technique for modeling river morphology, in Gardiner, V., ed., International Geomorphology, Part I: Chichester, U.K., John Wiley \& Sons, p. 681-690.
  114. Johannesson, H. and Parker, G. 1989 Linear theory of river meanders. In River Meandering (ed. S. Ikeda \& G. Parker). Water Res. Monograph 12, pp. 181-214. AGU.
  115. Kinoshita, R. and Miwa, H. 1974 River channel formation which prevents downstream translation of transverse bars. Shinsabo 94, 12-17 (in Japanese).
  116. Knighton, A. D. (1981). Channel Form and Flow Characteristics of Supraglacial Streams, Austre Okstindbreen, Norway, Arctic and Alpine Research , 13(3), 295-306.
  117. Konsoer, K. M. (2014) Influence of riparian vegetation on near bank flow structure and rates of erosion on a large meandering river. Dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Geography in the Graduate College of the University of Illinois at Urbana-Champaign.
  118. Konsoer, K. M., Rhoads, B. L., Best, J. L., Langendoen, E. J., Abad, J. D., Parsons, D., and Garc\'{\i a, M. H. (2016). Three-dimensional flow structure and bed morphology in large elongate meander loops with different outer bank roughness characteristics. {\it Water Resources Research , 52, 9621-9641. DOI: 10.1111/j.1752-1688.1969.tb04897.x
  119. Lagasse, P.F., Spitz, W.J., Zevenbergen, L.W., and Zachmann, D.W. (2004) Handbook for Predicting Stream Meander Migration. NCHRP Report 533, TRB, National Research Council: Washington, DC.
  120. Langbein, W. B. and L. B. Leopold (1966), River Meanders: Theory of Minimum Variance, Physiographic and Hydraulic Studies of Rivers. Geological Survey Professional Paper 422-H
  121. Lanzoni, S. (2022). Morphodynamic Modeling of Alluvial Rivers and Floodplains. In Treatise on Geomorphology (2nd ed., pp. 83?104). Elsevier Inc. DOI: 10.1016/B978-0-12- 818234-5.00154-1
  122. Lanzoni, S. and Seminara, G., (2006). On the nature of meander instability. J. Geophys. Res. 111, F04006 . DOI: 10.1029/2005JF000416
  123. Launder, E. and Spalding, B. (1974) The numerical computation of turbulent flow. Comp. Meth. Appl. Mech. \& Engng 3, 269-289 .
  124. Leeder, M. R., and P. H. Bridges (1975), Flow separation in meander bends, Nature, 253(5490), 338-339 , DOI: 10.1038/253338a0
  125. Leopold, L. B. and Wolman, M. G. (1957) River channel patterns, braided, meandering and straight. US Geol. Survey, Profes. Paper 282-B, pp. 45-62. Reproduced in Rivers Morphology (ed. S. A. Schumm), Benchmark papers in Geology, pp. 283-300, Hutchinson, Ross and Dowden 1972 .
  126. Leopold, L. B., and M. G. Wolman (1960), River Meanders, Geol. Soc. Am. Bull. , 71(6), 769-793.
  127. Leopold, L. B., R. A. Bagnold, M. G. Wolman, and L. M. Brush, (1960) Flow resistance in sinuous and irregular channels, U.S. Geol. Surv. Prof. Pap., 282D, 111-134.
  128. Leopold, L. B., J. P. Miller, and G. M. Wolman (1964), Fluvial processes in geomorphology, Freeman, San Francisco, p. 522.
  129. Leschziner, A. and Rodi, W. (1979) Calculation of strongly curved open channel flow. J. Hydraul.Div. ASCE 105 (HYlO), 1297-1314 .
  130. Li, C., Czapiga, M. J., Eke, E. C., Viparelli, E. and Parker, G. (2014). River bankfull geometry: shear velocity is viscosity-dependent but grain size-independent. J. Hydraul Res. , DOI: 10.1080/00221686.2014.939113
  131. Lopez Dubon, S., and Lanzoni, S. (2019). Meandering Evolution and Width Variations : A Physics-Statistics-Based Modeling Approach. Water Resources Research, 55, 1–19. DOI: 10.1029/2018WR023639
  132. Lorenz, E.N. (1972). Predictability: does the flap of a butterfly's wings in Brazil set off a tornado in Texas? 139th Annual Meeting of the American Association for the Advancement of Science (29 Dec 1972) , in Essence of Chaos (1995), Appendix 1, 181
  133. Luchi, R. (2009) Effect of curvature and width variations on the morphodynamics of meandering rivers. PhD thesis submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Environmental Engineering, University of Trento (Italy)
  134. Luchi, R., J. M. Hooke, G. Zolezzi, and W. Bertoldi (2010a), 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
  135. Luchi, R., G. Zolezzi, and M. Tubino (2010b). Modelling midchannel bars in meandering channels, Earth Surf. Processes Landforms, 35(8), 902-917 , DOI: 10.1002/esp.1947
  136. 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
  137. Mandelbrot, B. (1967). How Long Is the Coast of Britain? Science. 156 (3775): 636-638
  138. Mandelbrot, B. B. (1982) The Fractal Geometry of Nature. W. H. Freeman and Company, New York
  139. Marani, M., S. Lanzoni, D. Zandolin, G. Seminara, and A. Rinaldo, (2002). Tidal meanders, Water Resour. Res. , 38(11), 1225, DOI: 10.1029/2001WR000404.
  140. Markham, A. J., and C. R. Thorne (1992), Geomorphology of gravel bed river bends, in Dynamics of Gravel Bed Rivers, edited by P. Billi et al., pp. 433-456, Wiley, Chichester, U. K.
  141. Matsubara, Y., A.D. Howard, D.M. Burr, R.M.E. Williams, W.E. Dietrich, J.M. Moore (2014). River meandering on Earth and Mars: A comparative study of Aeolis Dorsa meanders, Mars and possible terrestrial analogs of the Usuktuk River, AK, and the Quinn River, NV., Geomorphology DOI: 10.1016/j.geomorph.2014.08.031
  142. Mehta, A.~J. and Partheniades, E. (1975). An investigation of the depositional properties of flocculated fine sediments, \textit{ Journal of Hydraulic Research , 134, 22--1686.
  143. Menter, F. R. (1994), Two-equation eddy-viscosity turbulence models for engineering applications, AIAA J. , 32(8), 1598-1605.
  144. Meyer-Peter, E. and M\"uller, R. (1948) Formulas for bedload transport, 2nd IAHR Congress, Int Assoc. for Hydraul. Res., Stockholm.
  145. Mishra J. (2017) Erosion in Bedrock and Alluvial Meanders through 2 D Numerical Models, Laboratory Experiments and Field Observations. Thesis submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Engineering, Hokkaido University
  146. Mishra, J., T. Inoue, Y. Shimizu, T. Sumner and J. M. Nelson (2018) Consequences of Abrading Bed Load on Vertical and Lateral Bedrock Erosion in a Curved Experimental Channel, Journal of Geophysical Research: Earth Surface , 123, 3147-3161, DOI: 10.1029/2017JF004387
  147. Mockmore, C. A. (1943), Flow around bends in stable channels, Trans. Am. Soc. Civ. Eng., 109 , 593-628.
  148. Monegaglia, F. (2017). Meandering rivers morphodynamics - integrating nonlinear modeling and remote sensing, PhD Dissertation in fulfillment of the Erasmus Mundus Joint Doctorate School in Science for Management of Rivers and their Tidal System.
  149. Monegaglia, F. and Tubino, M. ( 2019). The hydraulic geometry of evolving meandering rivers. Journal of Geophysical Research: Earth Surface , 124, 2723-2748. https:// DOI: 10.1029/2019JF005309
  150. Monegaglia, F., Zolezzi, G., G\"uneralp, I., Henshaw, A. J., and Tubino, M. (2018). Automated extraction of meandering river morphodynamics from multitemporal remotely sensed data. Environmental Modelling and Software, 105, 171-186. https:// DOI: 10.1016/j.envsoft.2018.03.028
  151. Montgomery, K. (1996). Sinuosity and fractal dimension of meandering rivers. Area 28, 491-500.
  152. Montgomery, D. R. (2004). Observations on the role of lithology in strath terrace formation and bedrock channel width, Am. J. Sci. , 304(5), 454-476.
  153. Moore, R. C. (1926a) Origin of inclosed meanders on streams of the Colorado Plateau Jour. Geology , 34, 29-57.
  154. Moore, R. C. (1926b) Significance of inclosed meanders in the physiographic history of the Colorado Plateau country Jour. Geology , 34, 97-130.
  155. Mosselman, E. (1998) Morphological modelling of rivers with erodible banks, Hydrol. Process. 12, 1357-1370
  156. Nabi, M., H. J. de Vriend, E. Mosselman, C. J. Sloff, and Y. Shimizu (2012), Detailed simulation of morphodynamics: 1. Hydrodynamic model, Water Resour. Res., 48, W12523 , DOI: 10.1029/2012WR011911.
  157. Nabi, M., H. J. de Vriend, E. Mosselman, C. J. Sloff, and Y. Shimizu (2013a), Detailed simulation of morphodynamics: 2. Sediment pick-up, transport and deposition, Water Resour. Res., DOI: 10.1002/wrcr.20303.
  158. Nabi, M., H. J. de Vriend, E. Mosselman, C. J. Sloff, and Y. Shimizu (2013b) Detailed simulation of morphodynamics: 3. Ripples and dunes Water Resour. Res., 49, 5930-5943, DOI: 10.1002/wrcr.20457, 2013
  159. Nanson, G. C. and Hickin, E. J. (1983). Channel migration and incision on the Beatton River, J. Hydraul. Div. ASCE 109(3), 327-337.
  160. Nelson, P. A., M. Bolla Pittaluga, and G. Seminara (2014), Finite amplitude bars in mixed bedrock-alluvial channels, J. Geophys. Res. Earth Surface , 119, 566-587, DOI: 10.1002/2013JF002957
  161. Ni\~{n o, Y. (1992) Sediment bars in straight and meandering channels: experiments on the resonance phenomenon. Thesis submitted in partial fulfillment of the requirements of the degree of Master of Science. Graduate School of Civil Engineering. University of Illinois at Urbana-Champaign.
  162. Nikora, V. (1991). Fractal structures of river planforms. Water Resources Research 6, 1327-1333 .
  163. Nittrouer, J. A., D. Mohrig, M. A. Allison and A-P. B. Peyret (2011) Sedimentology 58, 1914-1934, DOI: 10.1111/j.1365-3091.2011.01245.x
  164. Ottevanger, W., Blanckaert, K., J. Uijttewaal, W. S., and De Vriend, H. J. (2013). Meander dynamics: A reduced-order nonlinear model without curvature restrictions for flow and bed morphology. Journal of Geophysical Research: Earth Surface, 118(2), 1118--1131. DOI: 10.1002/jgrf.20080
  165. Ovidio, Metamorphoses, Vol. 8, line 162.
  166. Paola, C., (2001) Modelling stream braiding over a range of scales, in Mosley, M.P., ed., Gravel-bed Rivers V: Christchurch, New Zealand, Caxton Press, p. 11-46.
  167. Papangelakis, E., M. Welber, P. Ashmore and B. MacVicar (2020) Controls of alluvial cover formation, morphology and bedload transport in a sinuous channel with a non-alluvial boundary, Earth Surf. Process. Landforms , DOI: 10.1002/esp.5032
  168. Parker, G. (1975) Meandering of supraglacial melt streams Water Resour. Res. , 11( 4), 551– 552.
  169. Parker, G. (1982) Stability of the channel of the Minnesota River Near State Bridge n. 93, Minnesota. Project Report n. 205, St. Anthony Falls Hydraulic Laboratory n. 33
  170. Parker, G., and E. D. Andrews, (1985) Sorting of bed load sediment by flow in meander bends, Water Resources Reserach , 21(9), 1361-1373.
  171. Parker, G. and Andrews, E. D. (1986) On time development of meander bends. J. Fluid Mech. 162, 139-156.
  172. Parker, G. and Johannesson, H.(1989) Observations on several recent theories of resonance and overdeepening in meandering channels. In River Meandering (ed. S. Ikeda and G. Parker) Water Res. Monograph 12, pp. 379-415. AGU.
  173. Parker, G., Diplas, P. and Akiyama, J. (1983) Meander bends of high amplitude. J. Hydraul. Engng. ASCE 109, 1323-1337.
  174. Parker, G., P. R. Wilcock, C. Paola, W. E. Dietrich, and J. Pitlick (2007), Physical basis for quasi-universal relations describing bankfull hydraulic geometry of single-thread gravel bed rivers, J. Geophys. Res. , 112, F04005, DOI: 10.1029/2006JF000549
  175. Parker, G., Shimizu, Y., Wilkerson, G. V., Eke, E. C., Abad, J. D., Lauer, J. W., Paola, C., Dietrich, W. E. and Voller, V. R. (2011). A new framework for modeling the migration of meandering rivers. Earth Surf. Process. Landf. 36, 70-86 .
  176. Peakall J., Ashworth P. J., Best J. L. (2007) Meander-bend evolution, alluvial architecture, and the role of cohesion in sinuous river channels: A flume study. J. Sed. Res. 77:197-212.
  177. Perucca, E., Camporeale, C. and Ridolfi, L. (2005) Nonlinear analysis of the geometry of meandering rivers. Geophysical Research Letters 32:L03402, DOI: 10.1029/2004GL021966
  178. Pizzuto, J. E., and T. S. Meckelnburg (1989), Evaluation of a Linear Bank Erosion Equation, Water Resources Research, 25(5), 1005-1013 .
  179. Prandtl, L. 1942 F\"{u hrer durch die Str\"{o mungslehre. Vieweg, Braunschweig.
  180. Rattray, M. and Mitsuda, E. (1974) Theoretical Analysis of Conditions in a Salt Wedge, Estuarine and Coastal Marine Science 2, 375-394
  181. Repetto, R., and M. Tubino, (1999) Transition from migrating alternate bars to steady central bars in channels with variable width, Proc. of first IAHR-RCEM Symposium, Int. Assoc. for Hydraul. Res., Genoa, Italy, 6-10 Sept.
  182. Repetto, R., M. Tubino, and C. Paola (2002), Planimetric instability of channels with variable width, J. Fluid Mech. , 457, 79-109.
  183. Rodriguez-Iturbe, I. and Rinaldo, A., (2010). Fractal River Basins. Chance and Selforganization , Cambridge University Press, 564 pp.
  184. Rosenstein, M. T., Collins, J. J. and De Luca, C. J. (1993). A practical method for calculating largest Lyapunov exponents from small data sets. Physica D 65: 117-134.
  185. Rowland, J. C., Shelef, E., Pope, P. A., Muss, J., Gangodagamage, C., Brumby, S. P., and Wilson, C. J. (2016). A morphology independent methodology for quantifying planview river change and characteristics from remotely sensed imagery. Remote Sensing of Environment, 184, 212-228. DOI: 10.1016/j.rse.2016.07.005
  186. Rozovskij, I. L., (1957) Flow of water in bends of open channels, Acad. Sci. Ukranian USSR .
  187. Schumm S. A. and Khan H. R. (1972) Experimental study of channel patterns. Geol. Soc. Amer. Bull. 83:1755-1770.
  188. Schuurman F. (2015). Bar and channel evolution in meandering and braiding rivers using physics-based modeling, Utrecht Studies in Earth Sciences 079.
  189. Schuurman F., Shimizu Y., Iwasaki T., Kleinhans M. G., (2016) Dynamic meandering in response to upstream perturbations and floodplain formation, Geomorphology, 253, 94-109
  190. Schwenk J. (2016) Meandering rivers: interpreting dynamics from planform geometry and the secret lives of migrating meanders A dissertation submitted to the faculty of the graduate school of the University of Minnesota in partial fulfillment of the requirements for the degree of Doctor of Philosophy
  191. Schwenk, J., and Foufoula-Georgiou, E. (2017). Are process nonlinearities encoded in meandering river planform morphology? Journal of Geophysical Research, (1), 1534-1552. DOI: 10.1002/2016JF003929
  192. Schwenk, J., Lanzoni, S., and Foufoula-Georgiou, E. (2015). The life of a meander bend: Connecting shape and dynamics via analysis of a numerical model. Journal of Geophysical Research F: Earth Surface, 120(4), 690–710. DOI: 10.1002/2014JF003252
  193. Schwenk, J., Khandelwal, A., Fratkin, M., Kumar, V., and Foufoula-Georgiou, E. (2017). High spatiotemporal resolution of river planform dynamics from landsat: The rivMAP toolbox and results from the Ucayali river. Earth and Space Science, 4(2), 46-75. DOI: 10.1002/2016EA000196
  194. Seminara, G. (1995) in Nonlinear Dynamics and Pattern Formation in the Natural Environment, edited by A. Doelman and A. van Harten, Pitman Research Notes in Mathematics Series Vol. 335 Longman, New York, pp. 269-294 .
  195. Seminara G. 2006. Meanders. J. Fluid Mech. 554, 271-97
  196. Seminara G. and M. Bolla Pittaluga (2012) Reductionist versus holistic approaches to the study of river meandering: An ideal dialogue, Geomorphology (163-164) 110-117
  197. Seminara, G. and Solari, L. (1998). Finite amplitude bed deformations in totally and partially transporting wide channel bends. Water Resour. Res. , 34 (6), 1585-1598.
  198. Seminara G. and Tubino M. (1989). Alternate bars and meandering: free, forced and mixed interactions. In River Meandering (ed. S. Ikeda \& G. Parker). AGU Water Resour. Monograph , 12, pp. 267--320.
  199. Seminara G. and Tubino M. (1992) Weakly nonlinear theory of regular meanders. J. Fluid Mech. 244:257-88
  200. Seminara, G., Tubino, M. and Zardi, D. 1994 Evoluzione planimetrica dei corsi d'acqua meandriformi dall'incipiente formazione al cut-off. XXIV Convegno di Idraulica e Costr. Idrauliche, Napoli, 20-22 settembre, T4-207 (In Italian).
  201. Seminara, G., L. Solari and M. Tubino (1997). Finite amplitude scour and grain sorting in wide channel bends, Proceedings of Theme B, 27th IAHR Congress, S. Francisco .
  202. Seminara, G., Zolezzi, G., Tubino, M. and Zardi, D. (2001a) Downstream and upstream influence in river meandering. Part 2. Planimetric development. J. Fluid Mech. , 438, 213-230.
  203. \bibitem[Seminara {\em et~al. (2001b)]{Seminaraetal_2001b
  204. Seminara, G., L. Solari, and G. Parker, (2001b) Bed-load transport on arbitrarily sloping beds at low Shields stress and validity of Bagnold's hypothesis. 2nd IAHR Symposium on River, Coastal and Estuarine Morphodynamics, RCEM 2001 , 10-14 September 2001, Obihiro Japan.
  205. Seminara G. and S. Lanzoni and N. Tambroni (2023) Theoretical Morphodynamics \\ Straight Channels, Genoa University Press .
  206. Shepherd, R.G. and S.A. Schumm (1974), Experimental study of river incision, Geological Society of America Bulletin , 85, 257-268.
  207. Shimizu, Y., H. Yamaguchi, and T. Itakura (1990), Three-dimensional computation of flow and bed deformation, J. Hydraul. Eng., Am. Soc. Civ. Eng., 116(9), 1090-1108.
  208. Siebert W. (1982), Stroemungscharakteristiken in einem Kanal mit 180-Kruemmungen, Mitteilungen 168. Theodor-Rehbock Flussbaulaboratorium, Karlsruhe.
  209. Sklar, L. S., and W. E. Dietrich (2004), A mechanistic model for river incision into bedrock by saltating bed load, Water Resour. Res. , 40, W06301, DOI: 10.1029/2003WR002496
  210. Smith C. (1998) Modeling high sinuosity meanders in a small flume. Geomorphology 25:19-30.
  211. Smith, J. D., and McLean S. R. (1984). A Model for Flow in Meandering Streams, Water Resour. Res. , 20( 9), 1301– 1315, DOI: 10.1029/WR020i009p01301
  212. Snow, R.S. (1989). Fractal sinuosity of stream channels. Pure Appl. Geophys. 131, 99-109.
  213. Solari, L., Seminara, G. (2006). On width variations in meandering rivers, In: River, Coastal and Estuarine Morphodynamics: RCEM 2005 - Proceedings of the 4th IAHR Symposium on River, Coastal and Estuarine Morphodynamics , Urbana, IL, 4-7 October, 2, pp. 745-751
  214. Sotiropoulos, F. (2015). Hydraulics in the era of exponentially growing computing power. {\it Journal of Hydraulic Research , 53(5), 547?560. DOI: 10.1080/00221686.2015.1119210
  215. Sotiropoulos, F. (2019) Hydraulic Engineering in the Era of Big Data and Extreme Computing: Can Computers Simulate River Turbulence?, J. Hydraul. Eng., 145(6): 02519002 DOI: 10.1061/(ASCE)HY.1943-7900.0001594
  216. Spalart, P. R. (2000), Trends in turbulence treatments, AIAA Paper 2000-2306, Fluids 2000, Denver .
  217. Sprott, J. C. (2003). Chaos and Time Series Analysis. Oxford University Press: New York.
  218. Stock, J. D., D. R. Montgomery, B. D. Collins, W. E. Dietrich, and L. S. Sklar (2005), Field measurements of incision rates following bedrock exposure: Implications for process controls on the long profiles of valleys cut by rivers and debris flows, Geol. Soc. Am. Bull. , 117(1-2), 174-194, DOI: 10.1130/B25560.1
  219. Stoesser, T., Ruether, N. and Olsen, N. R. B. (2010) Calculation of primary and secondary flow and boundary shear stresses in a meandering channel. Advances in Water Resources 33, 158-170
  220. Stolum, H. H. (1996), River meandering as a self-organized process, Science, 271, 1710-1713 .
  221. Strabo, (around 10), The geography of Strabo. Literally translated, with notes, Book 12, Ch. 8, Sect. 15, H.G. Bohn Ltd., London, 1854-1857 , downloadable at:
  222. Strogatz, S. H. (1994) Nonlinear Dynamics and Chaos. Addison-Wesley, Reading.
  223. Struiksma, N., K. W. Olesen, C. Flokstra, and H. J. de Vriend, Bed deformation in a curved alluvial channel, J. Hydraul. Res. , 23(1), 57- 79.
  224. Sun, T., P. Meaking, T. Jossang, and K. Schwarz (1996), A simulation model for meandering rivers, Water Resour. Res., 32(9), 2937-2954
  225. Sun, T., P. Meakin, and T. Jossang (2001a) A computer model for meandering rivers with multiple bed load sediment sizes: 1. Theory, Water Resour. Res., 37(8), 2227-2241
  226. Sun, T., P. Meakin, and T. Jossang (2001b), A computer model for meandering rivers with multiple bed load sediment size: 2. Computer simulations, Water Resour. Res., 37, 2243-2258.
  227. Tal M. and Paola C. (2007) Dynamic single-thread channels maintained by the interaction of flow and vegetation. Geology 35:347-350.
  228. Tarr W. A. (1924) Intrenched and Incised Meanders of Some Streams on the Northern Slope of the Ozark Plateau in Missouri, The Journal of Geology , 32 (7), 583-600 DOI: 10.1086/623142
  229. Thompson, J. M. T. and Stewart, H. B. (1986) Nonlinear Dynamics and Chaos. Wiley \& Sons .
  230. Thorne, C. R. (1991). Bank erosion and meander migration of the Red and Mississippi Rivers, USA. In: Hydrology for the water management of large river basins, Proceedings of IAHS Symposium Publ. 201, pages 301-313, Vienna, Austria.
  231. Thorne, C. R., and R. D. Hey (1979), Direct measurements of secondarycurrents at a river inflexion point, Nature, 280, 226-228, DOI: 10.1038/280226a0
  232. Thorne, C. R. and Tovey, K. (1981). Stability of composite river banks. Earth Surface Processes and Landforms, 6:469-484.
  233. Thorne, C. R., S. R. Abt, and S. T. Maynord (1995), Prediction of nearbank velocity and scour depth in meander bends for design of riprap revetments, in River, Coastal and Shoreline Protection: Erosion Control Using Riprap and Armourstone , edited by C. R. Thorne et al., pp. 115-133, John Wiley, Chichester, U. K.
  234. Titus Livius, The History of Rome, Book 38, Chapter 13 Evan T. Sage, Ph.D., Ed.
  235. Tubino, M. and Seminara, G. (1990) Free-forced interactions in developing meanders and suppression of free bars. J. Fluid Mech. 214, 131-159
  236. Turcotte, D. L. (1999) Self-organized criticality, Rep. Prog. Phys. 62 1377-1429 .
  237. van Balen, W., W. S. J. Uijttewaal, and K. Blanckaert (2009), Large-eddy simulation of a mildly curved open-channel flow, J. Fluid Mech., 630, 413-442 , DOI: 10.1017/S0022112009007277
  238. van Dijk, W. M., W. I. van de Lageweg, and M. G. Kleinhans (2012), Experimental meandering river with chute cutoffs, J. Geophys. Res., 117, F03023 , DOI: 10.1029/2011JF002314
  239. van Rijn, L.C. (1984a) Sediment transport, I, Bed load transport, {\it J. Hydraul. Eng. Am. Soc. Civ. Eng. , 110(10): 1431-1456.
  240. Venditti, J. G., and M. Church (2014), Morphology and controls on the position of a gravel-sand transition: Fraser River, British Columbia, J. Geophys. Res. Earth Surf. , 119, 1959-1976, DOI: 10.1002/2014JF003147
  241. Venditti, J. G., C. D. Rennie, J. Bomhof, R. W. Bradley, M. Little, and M. Church (2014), Flow in bedrock canyons, Nature , 513(7519), 534-537.
  242. Viero, D. P., Dubon, S. L., and Lanzoni, S. (2018). Chute cutoffs in meandering rivers: formative mechanisms and hydrodynamic forcing. International Association of Sedimentologists , 47(11), 201–229.
  243. Whiting, P. J. and W. E. Dietrich (1993) Experimental studies of bed topography and flow patterns in large-amplitude meanders: 1. Observations Water Resources Research , 29(11), 3605-3614
  244. Wilcox, D. C. (1994). Simulation of transition with a two-equation turbulence model. AIAA J., 42(2), 247-255 .
  245. Winslow, A. (1893). The Osage River and its meanders, Science , 22, 31-3.2.
  246. Winters, K. H. 1987 A bifurcation study of laminar flow in a curved tube of rectangular cross section. J. Fluid Mech. 180, 343-369 .
  247. Wolman M. G. and Brush L. M. (1961) Factors controlling the size and shape of stream channels in coarse, noncohesive sands. U. S. Geol. Surv. Prof. Paper 282-G:183-210.
  248. Xenophon, Anabasis, Book 1, Ch. 2, Sect. 8, Harvard University Press, Cambridge, Massachusetts; William Heinemann, Ltd., London. 1980. OCLC 10290977. ISBN 0-674-99100-1.
  249. Yen, C. L., (1970) Bed topography effect on flow in a meander. J. Hydr. Div., Amer. Soc. Civ. Eng., 96(HY1) , 57-74.
  250. Zeng L., Balachandar S., Fischer P. and F. M. Najjar 2008. Interactions of a stationary finite-sized particle with wall turbulence. J. Fluid Mech. 594:271-305
  251. Zeng, J., S. G. Constantinescu, and L. Weber (2008a), A 3D non-hydrostatic model to predict flow and sediment transport in loose bed channel bends, J. Hydraul. Res., 46(3), 356-372 , DOI: 10.3826/jhr.2008.3328
  252. Zeng, J., G. Constantinescu, K. Blanckaert, and L. Weber (2008b), Flow and bathymetry in sharp open-channel bends: Experiments and predictions, Water Resour. Res., 44, W09401 , DOI: 10.1029/2007WR006303
  253. Zhao, K., Lanzoni, S., Gong, Z., and Coco, G. (2021). A numerical model of bank collapse and river meandering, Geophysical Research Letters , 48, e2021GL093516. DOI: 10.1029/2021GL093516
  254. 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.
  255. Zolezzi G, Guala M, Seminara G, Termini D. 2005. Experimental observations of upstream overdeepening. J. Fluid Mech . 531:191-219
  256. Zolezzi, G., R. Luchi, and M. Tubino (2009), Morphodynamic regime of gravel bed, single-thread meandering rivers, J. Geophys. Res., 114, F01005, DOI: 10.1029/2007JF000968
  257. Zolezzi, G., Luchi, R. and Tubino, M. (2012). Modeling morphodynamic processes in meandering rivers with spatial width variations. Rev. Geophys. 50 , RG4005, DOI: 10.1029/2012RG000392
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Theoretical Morphodynamics: River Meandering


Giovanni Seminara, Stefano Lanzoni, Nicoletta Tambroni

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