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Recent Advances from Research on Meandering and Directions for Future Work

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Rivers – Physical, Fluvial and Environmental Processes

Part of the book series: GeoPlanet: Earth and Planetary Sciences ((GEPS))

Abstract

This paper presents a review of the present understanding of the kinematics of meandering flow, and its relationship to bed deformation as well as downstream migration and lateral expansion of meander loops. Taking into account the conditions prevailing in natural, low-land alluvial meandering rivers, the paper focuses primarily on the behaviour of streams having “large” values of width-to-depth ratio. The present review is preceded by a brief description of meandering defining geometric characteristics, as these are invoked throughout this manuscript. The paper is also used as an opportunity to outline future directions for research. These involve matters related to the topics under consideration that remain obscure and which, in the writer’s view, constitute subjects particularly worthwhile as future research topics for their scientific as well as practical significance. More specifically, these concern the nature and analytical formulation of meander wavelength; the value of width-to-depth ratio beyond which the effect of cross-circulation becomes of secondary importance where the meandering bed deformation is concerned; and, finally, the unification of present methods of determination of meandering planimetric evolution with the principle of self-formation of alluvial streams as expressed by regime theory.

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References

  • Abad JD, Garcia MH (2009a) Experiments in a high-amplitude Kinoshita meandering channel: 1. Implications of bend orientation on mean and turbulent flow structure. Water Resour Res 45:W02401. doi:10.1029/2008WR007016

    Google Scholar 

  • Abad JD, Garcia MH (2009b) 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

    Google Scholar 

  • Ackers P (1964) Experiments on small streams in alluvium. J Hydraul Div ASCE 90(HY4):1–37

    Google Scholar 

  • Ahmari H, da Silva AMF (2011) Regions of bars, meandering and braiding in da Silva and Yalin’s plan. J Hydr Res 49(6):718–727

    Article  Google Scholar 

  • Bettess R, White WR (1983) Meandering and braiding of alluvial channels. Proc Instn Civ Eng Part 2 75(3):525–538

    Google Scholar 

  • Binns AD (2012) Nature and time-scale of bed morphological adjustments toward equilibrium in meandering streams: an experimental study. Ph.D. thesis, Queen’s University, Kingston, Canada

    Google Scholar 

  • Binns AD, da Silva AMF (2009) On the quantification of the bed development time of alluvial meandering streams. J Hydr Eng 135(5):350–360

    Article  Google Scholar 

  • Binns AD, da Silva AMF (2011) Rate of growth and other features of the temporal development of pool-bar complexes in meandering streams. J Hydr Eng 137(12):1565–1575

    Article  Google Scholar 

  • Blanckaert K (2009) Saturation of curvature-induced secondary flow, energy losses, and turbulence in sharp open-channel bends: laboratory experiments, analysis, and modeling. J Geophys Res 114:F03015. doi:10.1029/2008JF001137

    Google Scholar 

  • Blanckaert K (2010) Topographic steering, flow recirculation, velocity redistribution, and bed topography in sharp meander bends. Water Resour Res 46:W09506. doi:10.1029/2009WR008303

    Google Scholar 

  • Blanckaert K, de Vriend HJ (2003) Nonlinear modeling of mean flow redistribution in curved open channels. Water Resour Res 39(12):1375. doi:10.1029/2003WR002068

    Article  Google Scholar 

  • Blanckaert K, de Vriend HJ (2004) Secondary flow in sharp open-channel bends. J Fluid Mech 498:353–380

    Article  Google Scholar 

  • Boraey AA (2014) Alternate bars under steady-state flows: time of development and geometric characteristics. Ph.D. thesis, Queen’s University, Kingston, Canada

    Google Scholar 

  • Boraey AA, da Silva, AMF (2014) A new equation for alternate bar length. In: Schleiss AJ, de Cesare G, Franca MJ, Pfister M (eds) Proceedings of river flow 2014, 7th international conference on fluvial hydraulics, Lausanne, Switzerland, 3–5 Sept 2014. CRC Press, Taylor & Francis Group, London. ISBN 9781138026742, 1195-1202

    Google Scholar 

  • Bridge JS (2003) Rivers and floodplains: forms, processes and the sedimentary record. Blackwell, Oxford

    Google Scholar 

  • Chang HH (1988) Fluvial processes in river engineering. Wiley, New York

    Google Scholar 

  • Chen D, Duan JD (2006) Simulating sine-generated meandering channel evolution with an analytical model. J Hydr Res 44(3):363–373

    Article  Google Scholar 

  • Crosato A (2007) Effects of smoothing and regridding in numerical meander migration models. Water Resour Res 43:W01401. doi:10.1029/2006WR005087

    Article  Google Scholar 

  • da Silva AMF (1995) Turbulent flow in sine-generated meandering channels. Ph.D. thesis, Queen’s University, Kingston, Canada

    Google Scholar 

  • da Silva AMF (2006) On why and how do rivers meander. J Hydr Res 44(5):579–590

    Article  Google Scholar 

  • da Silva AMF (2009) On the stable geometry of self-forming alluvial channels: theory and practical application. Can J Civil Eng 36(10):1667–1679

    Article  Google Scholar 

  • da Silva AMF (2013) River self-formation and regime channel geometry in the light of thermodynamic principles. In: Proceedings of 35th IAHR congress, Chengdu, China, 9–13 Sept, 12 pp

    Google Scholar 

  • da Silva AMF, El-Tahawy T (2008) On the location in flow plan of erosion-deposition zones in sine-generated meandering streams. J Hydr Res 46(Extra Issue 1):49–60

    Article  Google Scholar 

  • da Silva AMF, El-Tahawy T, Tape WD (2006) Variation of flow pattern with sinuosity in sine-generated meandering channels. J Hydr Eng 132(10):1003–1014

    Article  Google Scholar 

  • da Silva AMF, Holzwarth S, Pasche E, El-Tahawy T (2008) Bed topography of alluvial meandering streams under varying width-to-depth-ratios. In: Proceedings of river flow 2008, 4th international conference on fluvial hydraulics, Cesme-Izmir, Turkey, 3–5 Sept 2008, pp 1363–1372

    Google Scholar 

  • Darby SE, Alabyan AM, Van de Wiel MJ (2002) Numerical simulation of bank erosion and channel migration in meandering rivers. Water Resour Res 38(9):1163. doi:10.1029/2001WR000602

    Article  Google Scholar 

  • de Leliavsky N (1894) Currents in streams and the formation of stream beds. In: Sixth international congress on internal navigation, The Hague, The Netherlands

    Google Scholar 

  • de Vriend HH (1981) Velocity redistribution in curved rectangular channels. J Fluid Mech 107:423–439. doi:10.1017/S0022112081001833

    Article  Google Scholar 

  • Duan JG, Julien PY (2005) Numerical simulation of the inception of channel meandering. Earth Surf Proc Land 30:1093–1110. doi:10.1002/esp.1264

    Article  Google Scholar 

  • Engels H (1926) Movement of sedimentary materials in river bends. In: Freeman JR (ed) Hydraulic laboratory practice. ASME, New York

    Google Scholar 

  • Engelund F (1974) Flow and bed topography in channel bends. J Hydr Div 100(11):1631–1648

    Google Scholar 

  • Fargue L (1908) La forme du lit des rivières à fond mobile. Gauthier-Villars, Paris

    Google Scholar 

  • Friedkin JF (1945) A laboratory study of the meandering of alluvial rivers. U.S. Waterways Experiment Station, Vicksburg, Mississippi

    Google Scholar 

  • Garde RJ, Raju KGR (1977) Mechanics of sediment transportation and alluvial stream problems. Wiley Eastern, New Delhi

    Google Scholar 

  • Hasegawa K (1983) Hydraulic research on planimetric forms, bed topographies and flow in alluvial rivers. Ph.D. thesis (in Japanese), Hokkaido University, Sapporo, Japan

    Google Scholar 

  • Hasegawa K, Yamaoka I (1983) A study on flows and bed topographies in meandering channels. In: Elliott CM (ed) Proceedings of conference on Rivers’83. River meandering. ASCE, New York

    Google Scholar 

  • Hooke RL (1974) Distribution of sediment transport and shear stress in a meander bend, Rept. 30. Uppsala University Naturgeografiska Inst., 58

    Google Scholar 

  • Hooke RL (1980) Shear-stress distribution in stable channel bends, discussion. J Hydraul Div 106(HY7):1271–1272

    Google Scholar 

  • Ikeda S (1984) Prediction of alternate bar wavelength and height. J Hydr Eng 100(4):371–386

    Article  Google Scholar 

  • Ikeda S, Nishimura T (1986) Flow and bed profile in meandering sand-silt rivers. J Hydr Eng 112(7):562–579

    Article  Google Scholar 

  • Ikeda I, Parker G, Sawai K (1981) Bend theory of river meanders. Part 1. Linear development. J Fluid Mech 112:363–377

    Article  Google Scholar 

  • Inglis CC (1947) Meanders and their bearing on river training, Maritime and Waterways Engrg. Div., Inst. Civ. Eng., London

    Google Scholar 

  • Jackson RJ (1975) Velocity-bed-form-texture patterns of meander bends in the lower Wabash river of Illinois and Indiana. Geol Soc Am Bull 86:1511–1522

    Article  Google Scholar 

  • Jefferson M (1902) The limiting width of meander belts. Natl Geogr Mag, 372–384

    Google Scholar 

  • Jia Y (1990) Minimum Froude number and the equilibrium of alluvial sand rivers. Earth Surf Proc Land 15:199–209

    Article  Google Scholar 

  • Jia Y, Wang SSY (1999) Numerical model for channel flow and morphological change studies. J Hydr Eng 125(9):924–933

    Article  Google Scholar 

  • Kalkwijk JPTh, de Vriend HJ (1980) Computation of the flow in shallow river bends. J Hydr Res 18(4):327–342

    Article  Google Scholar 

  • Kashyap S, Constantinescu G, Rennie CD, Post G, Townsend R (2012) Influence of channel aspect ratio and curvature on flow, secondary circulation and bed shear stress in a bend. J Hydr Eng 138(12):1045–1059

    Article  Google Scholar 

  • Kassem AK, Chaudhry MH (2002) Numerical modeling of bed evolution in channel bends. J Hydr Eng 128(5):507–514

    Article  Google Scholar 

  • Kinoshita R (1961) Investigation of channel deformation in Ishikari river. Rep. Bureau of Resources, Department of Science and Technology, Japan

    Google Scholar 

  • Kondratiev N, Popov I, Snishchenko B (1982) Foundations of hydromorphological theory of fluvial processes (in Russian). Gidrometeoizdat, Leningrad

    Google Scholar 

  • Langbein WB, Leopold LB (1966) River meanders—theory of minimum variance. U.S. Geol. Survey Prof. Paper 422-H, 1–15

    Google Scholar 

  • Leliavsky S (1959) An introduction to fluvial hydraulics. Constable and Company, Russell Square

    Google Scholar 

  • Leopold LB, Langbein WB (1966) River meanders. Sci Am 214(6):60–70

    Article  Google Scholar 

  • Leopold LB, Wolman MG (1957) River channel patterns: braided, meandering and straight. U.S. Geol. Survey Professional Paper 282-B, 39–73

    Google Scholar 

  • Leopold LB, Wolman MG (1960) River meanders. Geol Soc Am Bull 71(6):769–793

    Article  Google Scholar 

  • Leopold LB, Wolman MG, Miller JP (1964) Fluvial processes in geomorphology. W.H. Freeman, San Francisco

    Google Scholar 

  • Makaveyvev NI (1975) River bed and erosion in its basin. Press of the Academy of Sciences of the USSR, Moscow

    Google Scholar 

  • Matthes GH (1941) Basic aspects of stream meanders. Trans. Am. Geophys. Union, pp 632–636

    Google Scholar 

  • Mosselman E (1995) A review of mathematical models of river planform changes. Earth Surf Proc Land 20:661–670

    Article  Google Scholar 

  • Motta D, Abad JD, Langendoen EJ, Garcia MH (2012) A simplified 2D model for meander migration with physically-based bank evolution. Geomorphology 163–164:10–25

    Article  Google Scholar 

  • Movshovitz-Hadar N, Shmukler A (2006) River meandering and a mathematical model of this phenomenon. Physica Plus, Online magazine of the Israel Physical Society (IPS), Issue No. 7. www.physicaplus.org.il

  • Nagata N, Hosoda T, Muramoto Y (2000) Numerical analysis of river channel processes with bank erosion. J Hydr Eng 126(4):243–252

    Article  Google Scholar 

  • Nasermoaddeli MH (2012) Bank erosion in alluvial rivers with non-cohesive soil in unsteady flow. Hamburger Wasserbauschriften 14, TuTech Verlag, Hamburg, Germany

    Google Scholar 

  • Nelson JM, Smith JD (1989) Evolution and stability of erodible channel beds. In: Ikeda S, Parker G (eds) River meandering. Water Resour. Monograph, Am. Geophys. Union, 12, 321–378

    Google Scholar 

  • Olsen NRB (2003) Three-dimensional CFD modeling of self-forming meandering channel. J Hydr Eng 129(5):366–372

    Article  Google Scholar 

  • Ottevanger W, Blanckaert K, Uijttewaal WSJ (2012) Processes governing the flow redistribution in sharp river bends. Geomorphology 163–164:45–55

    Article  Google Scholar 

  • Parker G, Sawai K, Ikeda S (1982) Bend theory of river meanders, part 2. Nonlinear deformation of finite-amplitude bends. J Fluid Mech 115:303–314

    Article  Google Scholar 

  • Rhoads BL, Welford MR (1991) Initiation of river meandering. Prog Phys Geo 15(2):127–256

    Article  Google Scholar 

  • Rinaldi M, Johnson P (1997) Characterization of stream meanders for stream restoration. J Hydr Eng 123(6):567–570

    Article  Google Scholar 

  • Rüther N, Olsen NRB (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

    Article  Google Scholar 

  • Seminara G (2006) Meanders. J Fluid Mech 554:271–297

    Article  Google Scholar 

  • Seminara G, Zolezzi G, Tubino M, Zardi D (2001) Downstream and upstream influence in river meandering. Part 2. Planimetric development. J Fluid Mech 438:213–230

    Article  Google Scholar 

  • Shimizu Y, Itakura T (1989) Calculation of bed variation in alluvial channels. J Hydr Eng 115(3):367–384

    Article  Google Scholar 

  • Smith JD, McLean SR (1984) A model for flow in meandering streams. Water Resour Res 20(9):1301–1315

    Article  Google Scholar 

  • Soar PJ, Thorne CR (2001) Channel restoration design for meandering rivers. Report ERDC/CHL CR-01-1, ERDC, US Army Corps of Engineers, Vicksburg, Mississippi

    Google Scholar 

  • Struiksma N, Crosato A (1989) Analysis of a 2D bed topography model for rivers. In: Ikeda S, Parker G (eds) River meandering. Water Resour. Monograph, Am. Geophys. Union, 12, 153–180

    Google Scholar 

  • Struiksma N, Olesen KW, Flokstra C, de Vriend HJ (1985) Bed deformation in curved alluvial channels. J Hydr Res 23(1):57–79

    Article  Google Scholar 

  • Termini D (1996) Evolution of a meandering channel with an initial flat bed: theoretical and experimental study of the channel bed and the initial kinematic characteristics of flow. Ph.D. thesis (In Italian), Department of Hydraulic Engineering and Environmental Applications, University of Palermo, Italy

    Google Scholar 

  • Termini D (2009) Experimental observations of flow and bed processes in large-amplitude meandering flume. J Hydr Eng 135(7):575–587

    Article  Google Scholar 

  • Termini D, Piraino M (2011) Experimental analysis of cross-sectional flow motion in a large amplitude meandering bend. Earth Surf Proc Land 36(2):244–256

    Article  Google Scholar 

  • Thomson J (1879) On the flow of water round river bends. Proceedings of Institution of Mechanical Engineers, vol 6, Aug

    Google Scholar 

  • USDA (2007) Stream restoration design, part 654, National Engineering Handbook, U.S. Department of Agriculture

    Google Scholar 

  • Von Schelling H (1951) Most frequent particle path in a plane. Trans Am Geophys Union 32:222–226

    Article  Google Scholar 

  • Welford MR (1993) Field evaluation of empirical equations in straight alluvial channels. Phys Geogr 14(6):581–598

    Google Scholar 

  • Whiting PJ, Dietrich WE (1993a) Experimental studies of bed topography and flow patterns in large-amplitude meanders. 1. Observations. Water Resour Res 29(11):3605–3614

    Article  Google Scholar 

  • Whiting PJ, Dietrich WE (1993b) Experimental studies of bed topography and flow patterns in large-amplitude meanders. 2. Mechanisms. Water Resour Res 29(11):3615–3622

    Article  Google Scholar 

  • Xu D, Bai Y (2013) Experimental study on the bed topography evolution in alluvial meandering rivers with various sinuousnesses. J Hydro Env Res 7(2):92–102

    Article  Google Scholar 

  • Yalin MS (1992) River mechanics. Pergamon Press, Oxford

    Google Scholar 

  • Yalin MS, da Silva AMF (2001) Fluvial processes, IAHR Monograph, IAHR, Delft, The Netherlands

    Google Scholar 

  • Yang CT, Song CCS, Woldenberg MJ (1981) Hydraulic geometry and minimum rate of energy dissipation. Water Resour Res 17:1014–1018

    Article  Google Scholar 

  • Zeller J (1967) Meandering channels in Switzerland. In: International symposium on river morphology, Bern, IASH

    Google Scholar 

  • Zhang Y (2007) On the computation of flow and bed deformation in alluvial meandering streams. Ph.D. thesis, Queen’s University, Kingston, Canada

    Google Scholar 

  • Zolezzi G, Guala M, Termini D, Seminara G (2005) Experimental observations of upstream overdeepening. J Fluid Mech 531:191–219

    Article  Google Scholar 

  • Zolezzi G, Luchi R, 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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Authors and Affiliations

  1. Department of Civil Engineering, Queen’s University, Kingston, Ontario, K7L 3N6, Canada

    Ana Maria Ferreira da Silva

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  1. Ana Maria Ferreira da Silva
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Correspondence to Ana Maria Ferreira da Silva .

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  1. Insitute of Geophysics, Polish Academy of Sciences, Warsaw, Poland

    Paweł Rowiński

  2. Department of Hydraulic Engineering and Geotechnics, Agricultural University of Cracow, Krakow, Poland

    Artur Radecki-Pawlik

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da Silva, A.M.F. (2015). Recent Advances from Research on Meandering and Directions for Future Work. In: Rowiński, P., Radecki-Pawlik, A. (eds) Rivers – Physical, Fluvial and Environmental Processes. GeoPlanet: Earth and Planetary Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-17719-9_14

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