2,660
Views
34
CrossRef citations to date
0
Altmetric
Vision paper

Hydrodynamics of shallow flows: application to rivers

(IAHR Member), Professor
Pages 157-172 | Received 06 Dec 2013, Accepted 13 Mar 2014, Published online: 06 May 2014

References

  • Abril, J.B., Knight, B.W. (2004). Stage-discharge prediction for rivers in flood applying a depth averaged model. J. Hydraulic Res. 42(6), 616–629. doi: 10.1080/00221686.2004.9628315
  • Albayrak, I., Lemmin, U. (2011). Secondary currents and corresponding surface velocity patterns in a turbulent open-channel flow over a rough bed. J. Hydraulic Eng. 137(11), 1318–1334. doi: 10.1061/(ASCE)HY.1943-7900.0000438
  • Babarutsi, S., Ganoulis, J., Chu, V.H. (1989). Experimental investigation of shallow recirculating flows. J. Hydraulic Eng. 115(7), 906–924. doi: 10.1061/(ASCE)0733-9429(1989)115:7(906)
  • van Balen, W., Uijttewaal, W.S.J., Blanckaert, K. (2009). Large eddy simulation of a mildly curved open channel flow. J. Fluid Mech. 630, 413–442. doi: 10.1017/S0022112009007277
  • van Balen, W., Uijttewaal, W.S.J., Blanckaert, K. (2010). Large-eddy simulation of a curved open-channel flow over topography. Phys. Fluids 22, 075108. doi: 10.1063/1.3459152
  • Blanckaert, K. (2010). Topographic steering, flow circulation, velocity redistribution and bed topography in sharp meander bends. Water Resour. Res. 46(9), W09506.
  • Blanckaert, K., de Vriend, H.J. (2004). Secondary flow in sharp open channel bends. J. Fluid Mech. 498, 353–380. doi: 10.1017/S0022112003006979
  • Bouma, T.J., van Duren, L.A., Temmerman, S., Claverie, T., Blanco-Garcia, A., Ysebaert, T., Herman, P.M.J. (2007). Spatial flow and sedimentation patterns within patches of epibenthic structures: Combining field, flume and modelling experiments. Cont. Shelf Res. 27(8), 1020–1045. doi: 10.1016/j.csr.2005.12.019
  • Boussinesq, J. (1868). Memoire sur 1’influence de frottement dans les mouvements reguliers des fluides; XII- Essai sur Ie movement permanent d'un liquide dans un canal horizontal axe circulaire. J. de Math. Pures et Appl. 2eme Serie, Tome XIII, 413.
  • Brown, G.L., Roshko, A. (1974). On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775–816. doi: 10.1017/S002211207400190X
  • von Carmer, C. F., Rummel, A.C., Jirka, G.H. (2009). Mass transport in shallow turbulent wake flow by planar concentration analysis technique. J. Hydraulic Eng. 135(4), 257–270. doi: 10.1061/(ASCE)0733-9429(2009)135:4(257)
  • Chen, D., Jirka, G.H. (1995). Experimental study of plane turbulent wakes in a shallow water layer. Fluid Dyn. Res. 16(1), 11–41. doi: 10.1016/0169-5983(95)00053-G
  • Chen, D. Jirka, G.H. (1998). Linear stability analysis of turbulent mixing layers and jets in shallow water layers. J. Hydraulic Res. 36(5), 815–830. doi: 10.1080/00221689809498605
  • Chu, V.H., Wu, J.H., Khayat, R.E. (1983). Stability of turbulent shear flows in shallow channel. Proc. XX IAHR Congress, Moscow 3, 128–133.
  • Clercx, H.J.H., Maassen, S.R., van Heijst, G.F.J. (1999). Decaying two-dimensional turbulence in square containers with no-slip or stress-free boundaries. Phys. Fluids 11, 611–626. doi: 10.1063/1.869933
  • Constantinescu, G., Squires, K. (2004). Numerical investigations of flow over a sphere in the subcritical and supercritical regimes. Phys. Fluids 16, 1449–1466. doi: 10.1063/1.1688325
  • Constantinescu, G., Miyawaki, S., Rhoads, B., Sukhodolov, A., Kirkil, G. (2011a). Structure of turbulent flow at a river confluence with momentum and velocity ratios close to 1: Insight provided by an eddy-resolving numerical simulation. Water Resour. Res. 47, W05507.
  • Constantinescu, G., Koken, M., Zeng, J. (2011b). 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.
  • Crosato, A. (2007). Effects of smoothing and regridding in numerical meander migration models. Water Resour. Res. 43, W01401.
  • Fung, J.C.H, Hunt, J.C.R., Malik, N.A. Perkins, R.J. (1992). Kinematic simulation of homogeneous turbulence by unsteady random Fourier modes. J. Fluid Mech. 236, 281–318. doi: 10.1017/S0022112092001423
  • Garcia, X.-F., Schnauder, I., Pusch, M.T. (2012). Complex hydromorphology of meanders can support benthic invertebrate diversity in rivers. Hydrobiologia 685, 49–68. doi: 10.1007/s10750-011-0905-z
  • Ghidaoui, M.S., Kolyshkin, A.A., Linag, J.H., Chan, F.C., Li, Q., Xu, K. (2006). Linear and nonlinear analysis of shallow wakes. J. Fluid Mech. 548, 309–340. doi: 10.1017/S0022112005007731
  • Gibson, A.H. (1909). Velocity in a stream flowing through an open channel. Proc. R. Soc. A 82, 149–159. doi: 10.1098/rspa.1909.0016
  • Ingram, R.G., Chu, V.H. (1987). Flow around islands in Rupert Bay: An investigation of the bottom friction effect. J. Geophys. Res. 92(C13), 14,521–14,533. doi: 10.1029/JC092iC13p14521
  • Jirka, G.H. (2001). Large scale flow structures and mixing processes in shallowflows. J. Hydraulic Res. 39(6), 567–573. doi: 10.1080/00221686.2001.9628285
  • Jirka, G.H., Uijttewaal, W.S.J. (2004). Shallow flows: A definition. Proc. Int. Conf. Shallow flows, G.H. Jirka, W.S.J. Uijttewaal, eds. Balkema, The Netherlands, 3–11.
  • Kang, S., Sotiropoulos, F. (2011). Flow phenomena and mechanisms in a field-scale experimental meandering channel with a pool-riffle sequence: Insights gained via numerical simulation. J. Geophys. Res. Earth Surf. 116, F03011.
  • Kara, S., Stoesser, T., Sturm, T.W. (2012). Turbulence statistics in compound channels with deep and shallow overbank flows. J. Hydraulic Res. 50(5), 482–493. doi: 10.1080/00221686.2012.724194
  • Keylock, C.J., Constantinescu, G., Hardy, R.J. (2012). The application of computational fluid dynamics to natural river channels: Eddy resolving versus mean flow approaches. Geomorphology 179, 1–20. doi: 10.1016/j.geomorph.2012.09.006
  • Kimura, I., Hosoda, T. (2003). A non-linear k–ϵ model with realizability for prediction of flows around bluff bodies. Int. J. Numer. Meth. Fluids 42, 813–837. doi: 10.1002/fld.540
  • Kimura, I., Uijttewaal, W.S.J. (2012). Numerical study on lateral momentum transfer on roughness transition in shallow open channel flows. Proc. Int. Conf. Shallow flows, G. Constantinescu, H.J. Fernando, eds. IIHR, Iowa, USA, 80, 1–8.
  • Kimura, I., Uijttewaal, W.S.J., van Balen, W., Hosoda, T. (2008). Application of the non-linear model for simulating curved open channel flows. Proc. Int. Conf. River flow, M.S. Altinakar, M.A. Kokpinar, I. Aydin, S. Cokgor, S. Kirkgoz, eds. Kubaba, Izmir, Turkey, 99–108.
  • Knight, D.W., Shiono, K. (1990). Turbulence measurements in a shear layer region of a compound channel. J. Hydraulic Res. 28(2) 175–196. doi: 10.1080/00221689009499085
  • Lloyd, P., Stansby, P. (1997). Shallow-water flow around model conical islands of small side slope. I: Surface piercing. J. Hydraulic Eng. 123(12), 1057–1067. doi: 10.1061/(ASCE)0733-9429(1997)123:12(1057)
  • Maassen, S.R., Clercx, H.J.H., van Heijst, G.J.F. (2002). Self-organization of quasi-two-dimensional turbulence in stratified fluids in square and circular containers. Phys. Fluids 14(7), 2150–2169. doi: 10.1063/1.1480263
  • Nabi, M., de Vriend, H.J., Mosselman, E., Sloff, C.J., Shimizu, Y. (2012). Detailed simulation of morphodynamics: 1. Hydrodynamic model. Water Resour. Res. 48, W12523.
  • Negretti, E., Socolofsky, S.A., Rummel, A.C., Jirka, G.H. (2005). Stabilization of cylinder wakes in shallow water flows by means of roughness elements: An experimental study. Exp. Fluids 38(4), 403–414. doi: 10.1007/s00348-004-0918-8
  • Nepf, H.M. (2012). Hydrodynamics of vegetated channels. J. Hydraulic Res. 50(3), 262–279. doi: 10.1080/00221686.2012.696559
  • Nezu, I., Nakagawa, H. (1993). Turbulence in open-channel flows. IAHR monograph series, Balkema, The Netherlands.
  • Nikora, V. (1999). Origin of the “ -1” spectral law in wall-bounded turbulence. Phys. Rev. Lett. 83, 734–736. doi: 10.1103/PhysRevLett.83.734
  • Nikora, V., Nokes, R., Veale, W., Davidson, M., Jirka, G.H. (2007). Large-scale turbulent structure of uniform shallow free-surface flows. Environ. Fluid Mech. 7, 159–172. doi: 10.1007/s10652-007-9021-z
  • Odgaard, A.J., Bergs, M.A. (1988). Flow processes in a curved alluvial channel. Water Resour. Res. 24(1), 45–56. doi: 10.1029/WR024i001p00045
  • Ottevanger, W. (2013). Modeling and parameterizing the hydro- and morphodynamics of curved open channels. PhD Thesis. Delft University of Technology, The Netherlands.
  • Ottevanger, W., Blanckaert, K., Uijttewaal, W.S.J. (2012). Processes governing the flow redistribution in sharp river bends. Geomorphology 163, 45–55. doi: 10.1016/j.geomorph.2011.04.049
  • Perkins, H.J. (1970). The formation of streamwise vorticity in turbulent flow. J. Fluid Mech. 44(4), 721–740. doi: 10.1017/S0022112070002112
  • van Prooijen, B.C., Uijttewaal, W.S.J. (2002). A linearized model for the evolution of large-scale turbulence structures in shallow mixing layers. Phys. Fluids 14, 4105–4114. doi: 10.1063/1.1514660
  • van Prooijen, B.C., Uijttewaal, W.S.J. (2009). The relevance of a back-scatter model for depth-averaged flow simulation. Flow, Turbulence, Combustion 82(1), 73–91. doi: 10.1007/s10494-008-9167-x
  • van Prooijen, B.C., Battjes, J.A., Uijttewaal, W.S.J. (2005). Momentum exchange in uniform compound channel flow. J. Hydraulic Eng. 131, 175–183. doi: 10.1061/(ASCE)0733-9429(2005)131:3(175)
  • Rhoads, B.L., Sukhodolov, A.N. (2004). Spatial and temporal structure of shear layer turbulence at a stream confluence. Water Resour. Res. 40, W06304.
  • Rodi, W., Constantinescu, G., Stoesser, T. (2013). Large-eddy simulation in hydraulics, P.A. Davies, ed. IAHR-monograph, CRC Press/Balkema, The Netherlands.
  • Rozovskii, I.L. (1957). Flow of water in bends of open channels. English translation: Israel Progr. for Scientific Transl., Monson, Jerusalem, Israel, 1961.
  • Schnauder, I., Sukhodolov, A.N. (2012). Flow in a tightly curving meander bend: Effects of seasonal changes in aquatic macrophyte cover. Earth Surf. Process. Landforms 37, 1142–1157. doi: 10.1002/esp.3234
  • Seol, D.-G., Jirka, G.H. (2010). Quasi-two-dimensional properties of a single shallow-water vortex with high initial Reynolds numbers. J. Fluid Mech. 665, 274–299. doi: 10.1017/S0022112010003915
  • Shiono, K., Knight, D.W. (1991). Turbulent open-channel flow with variable depth across the channel. J. Fluid Mech. 222, 617–646. doi: 10.1017/S0022112091001246
  • Singh, K., Sandham, N., Williams, J. (2007). Numerical simulation of flow over a rough bed. J. Hydraulic Eng. 133(4), 386–398. doi: 10.1061/(ASCE)0733-9429(2007)133:4(386)
  • Sommeria, J. (1986). Experimental study of the two-dimensional inverse energy cascade in a square box. J. Fluid Mech. 170, 139–168. doi: 10.1017/S0022112086000836
  • Sukhodolov, A. N., Uijttewaal, W.S.J. (2010). Assessment of a river reach for environmental fluid dynamics studies. J. Hydraulic Eng. 136(11), 880–888. doi: 10.1061/(ASCE)HY.1943-7900.0000267
  • Sukhodolov, A., Schnauder, I., Anlanger, C., Rauch, H.P., Uijttewaal, W.S.J. (2008) Field experiments on flow hydrodynamics and exchange processes in groyne fields. Proc. Int. Conf. River flow, M.S. Altinakar, M.A. Kokpinar, I. Aydin, S. Cokgor, S. Kirkgoz, eds. Kubaba, Izmir, Turkey, 1, 865–874.
  • Sukhodolov, A.N., Schnauder, I., Uijttewaal, W.S.J. (2010). Dynamics of shallow lateral shear layers: Experimental study in a river with a sandy bed. Water Resour. Res. 46, W11519.
  • Sukhodolova, T. A., Sukhodolov, A.N. (2012). Vegetated mixing layer around a finite-size patch of submerged plants: 1. Theory and field experiments. Water Resour. Res. 48, W10533.
  • Talstra, H. (2011). Large-scale turbulence structures in shallow separating flows. PhD Thesis. Delft University of Technology, The Netherlands.
  • Talstra, H., Uijttewaal, W.S.J. (2012). Large-scale structures in shallow separating flows. Proc. Int. Conf. Shallow flows, G. Constantinescu, H.J. Fernando, eds. IIHR, Iowa, USA, 165, 1–10.
  • Thomas, T.G., Williams, J.J.R. (1995). Large eddy simulation of turbulent flow in an asymmetric compound open channel. J. Hydraulic Res. 33(1), 27–41. doi: 10.1080/00221689509498682
  • Tominaga, A., Nezu, I. (1991). Turbulent structure in compound open-channel flows. J. Hydraulic Eng. 117(1), 21–41. doi: 10.1061/(ASCE)0733-9429(1991)117:1(21)
  • Uijttewaal, W.S.J., Booij, R. (2000). Effects of shallowness on the development of free-surface mixing layers. Phys. Fluids 12, 392–402. doi: 10.1063/1.870317
  • Uijttewaal, W.S.J., Jirka, G.H. (2003). Grid turbulence in shallow flows. J. Fluid Mech. 489, 325–344. doi: 10.1017/S0022112003005020
  • Uijttewaal, W.S.J., Lehmann, D., van Mazijk, A. (2001). Exchange processes between a river and its groyne fields: Model experiments. J. Hydraulic Eng. 127(11), 928–936. doi: 10.1061/(ASCE)0733-9429(2001)127:11(928)
  • Vermaas, D.A., Uijttewaal, W.S.J., Hoitink, A.J.F. (2011). Lateral transfer of streamwise momentum caused by a roughness transition across a shallow channel. Water Resour. Res. 47, W02530.
  • Weitbrecht, V., Socolofsky, S.A., Jirka, G.H. (2008). Experiments on mass exchange between groin fields and main stream in rivers. J. Hydraulic Eng. 134(2), 173–183. doi: 10.1061/(ASCE)0733-9429(2008)134:2(173)
  • Wolanski, E., Imberger, J., Heron, M.L. (1984). Island wakes in shallow coastal waters. J. Geophys. Res. 89(C6), 10553–10569. doi: 10.1029/JC089iC06p10553
  • Zdravkovich, M.M. (1997). Flow around circular cylinders 1. Oxford University Press, Oxford.
  • Zong, L., Nepf, H. (2012). Vortex development behind a finite porous obstruction in a channel. J. Fluid Mech. 691, 368391. doi: 10.1017/jfm.2011.479

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.