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Research paper

A model of the free surface dynamics of shallow turbulent flows

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Pages 516-526 | Received 27 Nov 2015, Accepted 06 Apr 2016, Published online: 16 May 2016

References

  • Best, J. L., & Kostaschuk, R. A. (2002). An experimental study of turbulent flow over a low angle dune. Journal of Geophysical Research, 107(C9), 18-1–18-19. doi: 10.1029/2000JC000294
  • Buffin-Bélanger, T., Roy, A. G., & Kirkbride, A. D. (2000). On large-scale flow structures in a gravel-bed river. Geomorphology, 32, 417–435. doi: 10.1016/S0169-555X(99)00106-3
  • Dabiri, D. (2003). On the interaction of a vertical shear layer with a free surface. Journal of Fluid Mechanics, 480, 217–232. doi: 10.1017/S0022112002003671
  • Eggers, J., & Riecke, H. (1999). Continuum description of vibrated sand. Physical Review E, 59(4), 4476–4483. doi: 10.1103/PhysRevE.59.4476
  • Fujita, I., Furutani, Y., & Okanishi, T. (2011). Advection features of water surface profile in turbulent open-channel flow with hemisphere roughness elements. Visualization of Mechanical Processes, 1(3). doi:10.1615/VisMechProc.v1.i3.70
  • Guo, X., & Shen, L. (2010). Interaction of a deformable free surface with statistically steady homogeneous turbulence. Journal of Fluid Mechanics, 658, 33–62. doi: 10.1017/S0022112010001539
  • Horoshenkov, K. V., Nichols, A., Tait, S. J., & Maximov, G. A. (2013). The pattern of surface waves in a shallow free surface flow. Journal of Geophysical Research: Earth Surface, 118(3), 1864–1876. doi:10.1002/jgrf.20117
  • Johnson, E. D., & Cowen, E. A. (2014). Remote monitoring of volumetric discharge based on surface mean and turbulent metrics. In A. J. Schleiss, G. de Cesare, M. J. Franca, & M. Pfister (Eds.), River Flow 2014 (pp. 1935–1941). London: CRC Press.
  • Krynkin, A., Horoshenkov, K. V., Nichols, A., & Tait, S. J. (2014). A non-invasive acoustical method to measure the mean roughness height of the free surface of a turbulent shallow water flow. Review of Scientific Instruments, 85(11), 114902. doi: 10.1063/1.4901932
  • Nakagawa, H., & Nezu, I. (1981). Structure of space–time correlations of bursting phenomena in an open-channel flow. Journal of Fluid Mechanics, 104, 1–43. doi: 10.1017/S0022112081002796
  • Nelder, J., & Mead, R. (1965). A simplex method for function minimisation. The Computer Journal, 7, 308–313. doi: 10.1093/comjnl/7.4.308
  • Nezu, I., & Nakagawa, H. (1993). Turbulence in open-channel flows. Rotterdam: Balkema.
  • Nikora, V., & Goring, D. (2000a). Eddy convection velocity and Taylor’s hypothesis of ‘frozen’ turbulence in a rough-bed open-channel flow. Journal of Hydroscience and Hydraulic Engineering (JSCE), 18, 75–91.
  • Nikora, V., & Goring, D. (2000b). Flow turbulence over fixed and weakly mobile gravel beds. Journal of Hydraulic Engineering, 126(9), 679–690. doi: 10.1061/(ASCE)0733-9429(2000)126:9(679)
  • Rothman, D. H. (1998). Oscillons, spiral waves, and stripes in a model of vibrated sand. Physical Review E, 57(2), R1239–R1242. doi: 10.1103/PhysRevE.57.R1239
  • Roussinova, V., Biswas, N., & Balachandar, R. (2010). Revisiting turbulence in smooth uniform open channel flow. Journal of Hydraulic Research, 46(2), 36–48. doi:10.1080/00221686.2008.9521938
  • Roy, A. G., Buffin-Bélanger, T., Lamarre, H., & Kirkbride, A. D. (2004). Size, shape and dynamics of large-scale turbulent flow structures in a gravel-bed river. Journal of Fluid Mechanics, 500, 1–27. doi: 10.1017/S0022112003006396
  • Savelsberg, R., & van de Water, W. (2009). Experiments on free surface turbulence. Journal of Fluid Mechanics, 619, 95–125. doi: 10.1017/S0022112008004369
  • Shats, M., Xia, H., & Punzmann, H. (2012). Parametrically excited water surface ripples as ensembles of oscillons. Physical Review Letters, 108, 034502. doi: 10.1103/PhysRevLett.108.034502
  • Shvidchenko, A. B., & Pender, G. (2001). Macroturbulent structure of open-channel flow over gravel beds. Water Resources Research, 37(3), 709–719. doi: 10.1029/2000WR900280
  • Tamburrino, A., & Gulliver, J. S. (2007). Free surface visualization of streamwise vortices in a channel flow. Water Resources Research, 43. doi: 10.1029/2007WR005988
  • Taylor, G. I. (1938) The spectrum of turbulence. Proceedings of the Royal Society A, 164, 476–490. doi: 10.1098/rspa.1938.0032
  • Umbanhowar, P. B., Melo, F., & Swinney, H. L. (1996). Localized excitations in a vertically vibrated granular layer. Nature, 382, 793–796. doi: 10.1038/382793a0
  • Ursell, F. (1949). On the heaving motion of a circular cylinder on the surface of a fluid. The Quarterly Journal of Mechanics and Applied Mathematics, 2(2), 218–231. doi: 10.1093/qjmam/2.2.218
  • Walker, D. T., Leighton, R. I., & Garza-Rios, L. O. (1996). Shear-free turbulence near a flat free surface. Journal of Fluid Mechanics, 320, 19–51. doi: 10.1017/S0022112096007446
  • Ward, S. N., & Asphaug, E. (2000). Asteroid impact tsunami: A probabilistic hazard assessment. Icarus, 145(1), 64–78. doi: 10.1006/icar.1999.6336
  • Yalin, M. S. (1992). River mechanics. Oxford: Pergamon Press.