Abstract
The study of turbulence has always been a challenge for scientists working on geophysical flows. Turbulent flows are common in nature and have an important role in geophysical disciplines such as river morphology, landscape modeling, atmospheric dynamics and ocean currents. At present, new measurement and observation techniques suitable for fieldwork can be combined with laboratory and theoretical work to advance the understanding of river processes. Nevertheless, despite more than a century of attempts to correctly formalize turbulent flows, much still remains to be done by researchers and engineers working in hydraulics and fluid mechanics. In this contribution we introduce a general framework for the analysis of river turbulence. We revisit some findings and theoretical frameworks and provide a critical analysis of where the study of turbulence is important and how to include detailed information of this in the analysis of fluvial processes. We also provide a perspective of some general aspects that are essential for researchers/practitioners addressing the subject for the first time. Furthermore, we show some results of interest to scientists and engineers working on river flows.
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References
Abad JD, Frias CE, Buscaglia GC, Garcia MH (2013) Modulation of the flow structure by progressive bedforms in the Kinoshita meandering channel. Earth Surf Proc Land 38(13):1612–1622
Aberle J, Koll K (2004) Double-averaged flow field over static armour layers. In: Greco M, Carravetta A, Della Morte R (eds) River flow 2004. Taylor & Francis Group, London
Adrian RJ, Christensen KT, Liu ZC (2000) Analysis and interpretation of instantaneous turbulent velocity fields. Exp Fluids 29:275–290
Aleixo RJF (2013) Experimental study of the early stages of a dam-break flow over fixed and mobile beds. PhD thesis, UCL, Louvain-la-Neuve
Antonia RA, Atkinson JD (1973) High-order moments of Reynolds shear stress fluctuations in a turbulent boundary layer. J Fluid Mech 58(3):581–593
Baiamonte G, Giordano G, Ferro V (1995) Advances on velocity profile and flow resistance law in gravel bed rivers. Excerpta 9:41–89
Berkooz G, Holmes P, Lumley JL (1993) The proper orthogonal decomposition in the analysis of turbulent flows. Annu Rev Fluid Mech 25(1):539–575
Best J (2005) The fluid dynamics of river dunes: a review and some future research directions. J Geophys Res Oceans. doi:10.1029/2004JF000218
Blanckaert K, De Vriend HJ (2005) Turbulence characteristics in sharp open-channel bends. Phys Fluids 17(5):055102
Blanckaert K, Han R, Pilotto F, Pusch M (2014) Effects of large wood on morphology, flow and turbulence in a Lowland River. In: Schleiss AJ, De Cesare G, Franca MJ, Pfister M (eds) River flow 2014. Taylor & Francis, Leiden
Bousmar D, Zech Y (1999) Momentum transfer for practical flow computation in compound channels. J Hydraul Eng 125(7):696–706
Brocchini M, Kennedy AB, Soldini L, Mancinelli A (2004) Topographically controlled, breaking-wave-induced macrovortices. Part 1. Widely separated breakwaters. J Fluid Mech 507:289–307
Buffin-Bélanger T, Roy AG (1998) Effects of a pebble cluster on the turbulent structure of a depth-limited flow in a gravel-bed river. Geomorphology 25(3):249–267
Buffin-Bélanger T, Roy AG, Kirkbride AD (2000) On large-scale flow structures in a gravel-bed river. Geomorphology 32(3):417–435
Cardoso AH, Graf WH, Gust G (1989) Uniform flow in a smooth open channel. J Hydraul Res 5:603–616
Cellino M, Lemmin U (2004) Influence of coherent flow structures on the dynamics of suspended sediment transport in open-channel flow. J Hydraul Eng 130(11):1077–1088
Chassaing P (2000) Turbulence en Mcanique des Fluides. Cépaduès-Éditions, Toulouse
Coleman JM (1969) Brahmaputra River: channel processes and sedimentation. Sediment Geol 3:129–329
Corino ER, Brodkey RS (1969) A visual investigation of the wall region in turbulent flow. J Fluid Mech 37(1):1–30
Currie IG (1993) Fundamental mechanics of fluids. McGraw Hill, Toronto
Detert M, Weitbrecht V, Jirka GH (2010) Laboratory measurements on turbulent pressure fluctuations in and above gravel beds. J Hydraul Eng 136:779–789
Dey S (2014) Fluvial hydrodynamics: hydrodynamic and sediment transport phenomena. Springer, Berlin
Dey S, Sarkar S, Solari L (2011) Near-bed turbulence characteristics at the entrainment threshold of sediment beds. J Hydraul Eng 137:945–958
Ferreira RML, Ferreira L, Ricardo AM, Franca MJ (2010) Impacts of sand transport on flow variables and dissolved oxygen in gravel-bed streams suitable salmonid spawning. River Research and Applications 26(10):414–438
Ferreira RML, Franca MJ, Leal JGAB, Cardoso AH (2012) Flow over rough mobile beds: Friction factor and vertical distribution of the longitudinal mean velocity. Water Resour Res 48(5):W05529
Foufoula-Georgiou E, Kumar P (1994) Wavelets in geophysics. Academic Press, San Diego
Franca MJ (2005a) A field study of turbulent flows in shallow gravel-bed rivers. PhD thesis, EPFL, Lausanne
Franca MJ (2005b) Flow dynamics over a gravel riverbed. In: Proceedings of the XXXI IAHR Congress, Seoul
Franca MJ, Lemmin U (2006a) Detection and reconstruction of coherent structures based on wavelet multiresolution analysis. In: Ferreira RML, Alves ECTL, Leal JGAB, Cardoso AH (eds) River flow 2006. Taylor & Francis Group, London
Franca MJ, Lemmin U (2006b) Turbulence measurements in shallow flows in gravel-bed rivers. In: Piasecki M (ed) 7th international conference on hydroscience and engineering. Session Wed1_S2: MINI-SYMPOSIUM fluvial hydraulics and river morphodynamics, College of Engineering, Drexel University, Philadelphia
Franca MJ, Lemmin U (2014) Detection and reconstruction of large-scale coherent flow structures in gravel-bed rivers. Earth Surf Proc Land 40(1):93–104
Franca MJ, Ferreira RML, Lemmin U (2008) Parameterization of the logarithmic layer of double-averaged streamwise velocity profiles in gravel-bed river flows. Adv Water Resour 31(6):915–925
Franca MJ, Ferreira RML, Cardoso AH, Lemmin U (2010) Double-average methodology applied to turbulent gravel-bed river flows. In: Dittrich A, Koll K, Aberle J Geisenhainer (eds) River flow 2010. Bundesanstalt fr Wasserbau, Braunschweig
Frisch U (1995) Turbulence. The legacy of A. N. Kolmogorov. Cambridge University Press, New York
Ghilardi T, Franca MJ, Schleiss AJ (2014) Bulk velocity measurements by video analysis of dye tracer in a macro-rough channel. Meas Sci Technol 25(3):035003
Grass AJ (1971) Structural features of turbulent flow over smooth and rough boundaries. J Fluid Mech 50(02):233–255
Gyr A, Schmid A (1997) Turbulent flows over smooth erodible sand beds in flumes. J Hydraul Res 35(4):525–544
Ha HK, Chough SK (2003) Intermittent turbulent events over sandy current ripples: a motion-picture analysis of flume experiments. Sed Geol 161:295–308
Holmes P, Lumley JL, Berkooz G (1998) Turbulence, coherent structures, dynamical systems and symmetry. Cambridge University Press, New York
Hua BL, Kline P (1998) An exact criterion for the stirring properties of nearly two-dimensional turbulence. Physica D 113(1):98–110
Huang NE, Shen Z, Long SR, Wu MC, Shih HH, Zheng Q, Yen N-C, Tung CC, Liu HH (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc R Soc Lond A 454(1971):903–995
Huang NE, Shen Z, Long SR (1999) A new view of nonlinear water waves: the Hilbert Spectrum 1. Annu Rev Fluid Mech 31(1):417–457
Hurther D, Lemmin U (2000) Shear stress statistics and wall similarity analysis in turbulent boundary layers using a high-resolution 3-D ADVP. IEEE J Oceanic Eng 25(4):446–457
Jovanovic J (2004) The statistical dynamics of turbulence. Springer, Berlin
Kara S, Stoesser T, Sturm TW (2012) Turbulence statistics in compound channels with deep and shallow overbank flows. J Hydraul Res 50(5):482–493
Katul G, Wiberg P, Albertson J, Hornberger G (2008) A mixing layer theory for flow resistance in shallow streams. Water Resour Res 38(11):1250
Kennedy AB, Brocchini M, Soldini L, Gutierrez E (2006) Topographically controlled, breaking-wave-induced macrovortices. Part 2. Rip current topographies. J Fluid Mech 559:57–80
Kim HT, Kline SJ, Reynolds WC (1971) The production of turbulence near a smooth wall in a turbulent boundary layer. J Fluid Mech 50(01):133–160
Kirkbride AD, Ferguson R (1995) Turbulent flow structure in a gravel-bed river: Markov chain analysis of the fluctuating velocity profile. Earth Surf Proc Land 20(8):721–733
Kironoto BA, Graf WH (1994) Turbulence characteristics in rough uniform open-channel flow. Proc ICE-Water Marit Energy 106(4):333–344
Kline SJ, Reynolds WC, Schraub FA, Runstadler PW (1967) The structure of turbulent boundary layers. J Fluid Mech 30(04):741–773
Knight DW, Shiono K (1990) Turbulence measurements in a shear layer region of a compound channel. J Hydraul Res 28(2):175–196
Kostaschuk RA, Church MA (1993) Macroturbulence generated by dunes: Fraser River, Canada. Sed Geol 85:25–37
Koziol AP (2013) Three-dimensional turbulence intensity in a compound channel. J Hydraul Eng 139:852–864
LaCasce JH (2008) Statistics from Lagrangian observations. Prog Oceanogr 77:1–29
Leite Ribeiro M, Blanckaert K, Roy AG, Schleiss AJ (2002) Flow and sediment dynamics in channel confluences. J Geophys Res Earth Surf. doi:10.1029/2011JF002171
Levi E (1995) The science of water: the foundation of modern hydraulics. ASCE Press, New York
Lopes AF, Nogueira HIS, Ferreira RML, Franca MJ (2013) Laboratorial study of continuously fed low-submergence gravity currents over smooth and rough beds. In: EGU general assembly conference abstracts, Vienna
Lu SS, Willmarth WW (1973) Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J Fluid Mech 60(3):481–511
Lumley JL, Newman GR (1977) The return to isotropy of homogeneous turbulence. J Fluid Mech 82(1):161–178
Manes C, Pokrajac D, McEwan I (2007) Double-averaged open-channel flows with small relative submergence. J Hydraul Eng 138(8):896–904
Matthes GH (1947) Macroturbulence in natural stream flow. Trans Am Geophys Union 28:255–265
Mera I, Franca MJ, Anta J, Peña E (2014) Turbulence anisotropy in a compound meandering channel with different submergence conditions. Adv Water Resour. doi:10.1016/j.advwatres.2014.10.012
Mignot E, Hurther D, Bartelhemy E (2009) On the structure of shear stress and turbulent kinetic energy flux across the roughness layer of a gravel-bed channel flow. J Fluid Mech 638:423–452
Monin AS, Yaglom AM (1971) Statistical fluid mechanics: mechanics of turbulence, vol I. MIT Press, Boston
Nakagawa H, Nezu I (1977) Prediction of the contributions to the Reynolds stress from bursting events in open-channel flows. J Fluid Mech 80(1):99–128
Nazarenko S, Laval JP (2000) Non-local two-dimensional turbulence and Batchelor’s regime for passive scalars. J Fluid Mech 408:301–321
Neary VS, Constantinescu SG, Bennett SJ, Diplas P (2012) Effects of vegetation on turbulence, sediment transport, and stream morphology. J Hydraul Eng 138:765–776
Nepf HM (1999) Drag, turbulence and diffusion in flow through emergent vegetation. Water Resour Res 35(2):479–489
Nepf HM (2012) Hydrodynamics of vegetated channels. J Hydraul Res 50(3):262–279
Nezu I, Nakagawa H (1993) Turbulence in open-channel flows. IAHR monograph series, A.A. Balkema, Rotterdam, Netherlands
Nicholas AP (2001) Computational fluid dynamics modelling of boundary roughness in gravel-bed rivers: an investigation of the effects of random variability in bed elevation. Earth Surf Proc Land 26(4):345–362
Nikora V (2007) Hydrodynamics of gravel-bed rivers: scale issues. Dev Earth Surf Process 11:61–81
Nikora V (2010) Hydrodynamics of aquatic ecosystems: an interface between ecology, biomechanics and environmental fluid mechanics. River Res Appl 26(4):367–384
Nikora V, Rowinski PM (2008) Rough-bed flows in geophysical, environmental, and engineering systems: double-averaging approach and its applications. Acta Geophys 56(3):529–533
Nikora V, Roy AG (2012) Secondary flows in rivers: theoretical framework, recent advances, and current challenges. In Church M, Biron PM, Roy AG (eds) Gravel bed rivers: processes, tools, environments. John Wiley & Sons, New York
Nikora V, Smart GM (1997) Turbulence characteristics of New Zealand gravel-bed rivers. J Hydraul Eng 123(9):764–773
Nikora V, McEwan I, McLean S, Coleman S, Pokrajac D, Walters R (2007a) Double-averaging concept for rough-bed open-channel and overland flows: theoretical background. J Hydraul Eng 133(8):873–883
Nikora V, McLean S, Coleman S, Pokrajac D, McEwan I, Campbell I, Aberle J, Clunie D, Koll K (2007b) Double-averaging concept for rough-bed open-channel and overland flows: applications. J Hydraul Eng 133(8):884–985
Nikora V, Ballio F, Coleman S, Pokrajac D (2013) Spatially averaged flows over mobile rough beds: definitions, averaging theorems, and conservation equations. J Hydraul Eng 139(8):803–811
Nogueira HIS (2014) Experimental characterization of unsteady gravity currents developing over smooth and rough beds. PhD thesis, UC, Coimbra
Nogueira HIS, Adduce C, Alves E, Franca MJ (2014) Dynamics of the head of gravity currents. Environ Fluid Mech 14(2):519–540
Pokrajac D, Kikkert GA (2011) RADINS equations for aerated shallow water flows over rough beds. J Hydraul Res 49(5):630–638
Pope SB (2000) Turbulent flows. Cambridge University Press, New York
Proust S, Fernandes JN, Peltier Y, Leal JB, Riviere N, Cardoso AH (2013) Turbulent non-uniform flows in straight compound open-channels. J Hydraul Res 51(6):656–667
Provenzale A (1999) Transport by coherent barotropic vortices. Annu Rev Fluid Mech 31:55–93
Raupach MR, Shaw RH (1982) Averaging procedures for flow within vegetation canopies. Bound-Layer Meteorol 22:79–90
Ricardo AM (2014) Hydrodynamics of turbulent flows within arrays of circular cylinders. PhD thesis, EPFL, Lausanne
Ricardo AM, Koll K, Franca MJ, Schleiss AJ, Ferreira RML (2014) The terms of turbulent kinetic energy budget within random arrays of emergent cylinders. Water Resour Res 50(5):4131–4148
Romano GP, Ouellette NZ, Xu H, Bodenschatz E, Steinberg V, Meneveau C, Katz J (2007) Measurements of turbulent flows. In: Tropea C, Yarin AL, Foss JF (eds) Springer handbook of experimental fluid mechanics. Springer, Berlin
Roy AG, Buffin-Bélanger T, Lamarre H, Kirkbride AD (2004) Size, shape and dynamics of large-scale turbulent flow structures in a gravel-bed river. J Fluid Mech 500:1–247
Saggiori S, Rita S, Ferreira RML, Franca MJ (2012) Analysis of 3rd order moments on a natural vegetated flow. In: Proceedings of 2nd IAHR Europe congress, Munich
Santos BO, Franca MJ, Ferreira RML (2014) Coherent structures in open channel flows with bed load transport over an hydraulically rough bed. In: Schleiss AJ, De Cesare G, Franca MJ, Pfister M. (eds) River flow 2014. Taylor & Francis, Leiden
Schleiss AJ, De Cesare G, Franca MJ, Pfister M (eds) River flow 2014., Taylor & Francis, Leiden
Séchet P, Le Guennec B (1999) The role of near wall turbulent structures on sediment transport. Water Res 33(17):3646–3656
Shields FD Jr, Morin N, Cooper CM (2004) Large woody debris structures for sand-bed channels. J Hydraul Eng 130(3):208–217
Shiono K, Muto Y (1998) Complex flow mechanisms in compound meandering channels with overbank flow. J Fluid Mech 376:221–261
Shiono K, Spooner J, Chan TL, Rameshwaran P, Chandler JH (2008) Flow characteristics in meandering channels with non-mobile and mobile beds for overbank flows. J Hydraul Res 46(1):113–132
Simpson JE (1997) Gravity currents: in the environment and the laboratory. Cambridge University Press, New York
Siniscalchi F, Nikora VI, Aberle J (2012) Plant patch hydrodynamics in streams: Mean flow, turbulence, and drag forces. Water Resour Res 48(1):W01513
Smart GM (1999) Turbulent velocity profiles and boundary shear in gravel bed rivers. J Hydraul Eng 125(2):106–116
Soldati A, Marchioli C (2009) Physics and modelling of turbulent particle deposition and entrainment: review of systematic study. Int J Multip Flows 35:827–839
Soldini L, Piattella A, Brocchini M, Mancinelli A, Bernetti R (2004) Macrovortices-induced horizontal mixing in compound channels. Ocean Dyn 54:333–339
Stocchino A, Brocchini M (2010) Horizontal mixing of quasi-uniform, straight, compound channel flows. J Fluid Mech 643:425–435
Stocchino A, Besio G, Angiolani S, Brocchini M (2011) Lagrangian mixing in straight compound channels. J Fluid Mech 675:168–198
Stoesser T, Nikora V (2008) Flow structure over square bars at intermediate submergence: large eddy simulation study of bar spacing effect. Acta Geophys 56(3):876–893
Sukhodolova TA, Sukhodolov AN (2012) Vegetated mixing layer around a finite-size patch of submerged plants: 1. Theory and field experiments. Water Resour Res 48(10):WR011804
Tanino Y, Nepf HM (2008) Laboratory investigation of mean drag in a random array of rigid, emergent cylinders. J Hydraul Eng 134(1):34–41
Tennekes H, Lumley JL (1972) A first course in turbulence. The MIT press, Cambridge
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
Tominaga A, Nezu I (1991) Turbulent structure in compound open-channel flows. J Hydraul Eng 117(1):21–41
Tritico HM, Hotchkiss RH (2005) Unobstructed and obstructed turbulent flow in gravel bed rivers. J Hydraul Eng 131(8):635–645
Tsujimoto T (1989) Longitudinal stripes of alternate lateral sorting due to cellular secondary currents. In: Proceedings of XXX IAHR Cong, Ottawa
van Prooijen BC, Uijttewaal WSJ (2002) A linear approach for the evolution of coherent structures in shallow mixing layers. Phys Fluids 14(12):4105–4114
van Prooijen BC, Battjes JA, Uijttewaal WSJ (2005) Momentum exchange in straight uniform compound channel flow. J Hydraul Eng 131(3):175–183
Willmarth WW, Lu SS (1972) Structure of the Reynolds stress near the wall. J Fluid Mech 5(1):65–92
Yoshida K, Nezu I (2004) Experimental study on air-water interfacial turbulent hydrodynamics and gas transfer in wind-induced open channel-flows. In: Proceedings of the 4th IAHR international symposium on environmental hydraulics, Hong Kong
Zhong D, Wang G, Ding Y (2011) Bed sediment entrainment function based on kinetic theory. J Hydraul Eng 137:222–233
Acknowledgements
Mário J. Franca acknowledges the financial support by the European Fund for Economic and Regional Development (FEDER) through the Program Operational Factors of Competitiveness (COMPETE) and National Funds through the Portuguese Foundation of Science and Technology (RECI/ECM-HID/0371/2012 and PTDC/ECM/099752/2008). Maurizio Brocchini acknowledges the financial support from the EsCoSed Project, which is financed by the US-ONR through the NICOP Research Grant (N62909-13-1-N020). The PhD students Elena Battisacco, Reyhaneh S. Ghazanfari, Sebastián Guillén-Ludeña, Sebastian Schwindt and Jessica Zordan are acknowledged for their final check of possible inconsistencies in the text. The present work was completed while Maurizio Brocchini was Visiting Professor at the Laboratoire d'Hydraulique Environnementale, ÉCOLE POLYTECHNIQUE FÉDÉRALE DE LAUSANNE.
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Franca, M.J., Brocchini, M. (2015). Turbulence in Rivers. 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_2
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