No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
On the convective-absolute nature of river bedform instabilities
3.F. Nunez-Gonzalez and J. Martin-Vide, “Analysis of antidune migration direction,” J. Geophys. Res. 116, doi: 10.1029/2010JF001761 (published online 2011).
8.K. Kupfer, A. Bers, and A. K. Ram, “The cusp map in the complex-frequency plane for absolute instabilities,” Phys. Fluids 30, 3075–3082 (1987).
13.J. Best, “The fluid dynamics of river dunes: A review and some future research directions,” J. Geophys. Res. 110 , doi: 10.1029/2004JF000218 (published online 2005).
14.A. Fourriere, P. Claudin, and B. Andreotti, “Bedforms in a turbulent stream: Formation of ripples by primary linear instability and of dunes by nonlinear pattern coarsening,” J. Fluid Mech. 649, 287–328 (2010).
16.E. Lajeunesse, L. Malverti, P. Lancien, F. Metivier, S. Coleman, C. E. Smith, T. Davies, A. Cantelli, and G. Parker, “Fluvial and submarine morphodynamics of laminar and near-laminar flows: A synthesis,” Sedimentology 57(1), 1–26 (2010).
18.G. Seminara, L. Solari, and G. Parker, “Bed load at low shields stress on arbitrarily sloping beds: Failure of the bagnold hypothesis,” Water Resour. Res. 38(11), 1249 (2002).
19.G. Parker, G. Seminara, and L. Solari, “Bed load at low shields stress on arbitrarily sloping beds: Alternative entrainment formulation,” Water Resour. Res. 39(7), 1183 (2003).
22.H. P. Guy, D. B. Simons, and E. V. Richardson, “Summary of alluvial channel data from flume experiments,” U.S. Geol. Surv. Prof. Pap. 462-I, 1–96 (1966).
24.J. G. Venditti, M. A. Church, and S. J. Bennett, “Bed form initiation from a flat sand bed,” J. Geophys. Res. 110 , doi: 10.1029/2004JF000149 (published online 2005).
28.S. Pope, Turbulent Flows, 1st ed. (Cambridge University Press, 2000).
30.F. M. Exner, Uber die Wechselwirkung zwischen Wasser und Geschiebe in Flussen, 1st ed. (Sitzber. Akad. Wiss Wien, 1925).
32.G. Parker, “Sediment inertia as cause of river antidunes,” J. Hydraul. Div.-ASCE 101(2), 211–221 (1975).
35.P. Schmid and D. Henningson, Stability and Transition in Shear Flows, 1st ed. (Springer, 2001).
36.C. Camporeale, C. Canuto, and L. Ridolfi, “A spectral approach for the stability analysis of turbulent open-channel flows over granular beds,” Theor. Comput. Fluid Dyn. 26, 51–80 (2012).
37.A. Bers, “Space-time evolution of plasma instabilities – absolute and convective,” in Handbook of Plasma Physics (North Holland, Amsterdam, 1983).
38.P. Huerre and M. Rossi, “Hydrodynamic instabilities in open flows,” in Hydrodynamic and Instabilities, edited by C. Goldreche and P. Manneville (Cambridge University Press, Cambridge, 2000), pp. 159–229.
41.M. Gaster, “A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability,” J. Fluid Mech. 14, 222–224 (1962).
43.H. Nakagawa and T. Tsujimoto, “Sand bed instability due to bed load motion,” J. Hydraul. Div., Am. Soc. Civ. Eng. 106, 2029–205 (1980).
Article metrics loading...
River dunes and antidunes are induced by the morphological instability of stream-sediment boundary. Such bedforms raise a number of subtle theoretical questions and are crucial for many engineering and environmental problems. Despite their importance, the absolute/convective nature of the instability has never been addressed. The present work fills this gap as we demonstrate, by the cusp map method, that dune instability is convective for all values of the physical control parameters, while the antidune instability exhibits both behaviors. These theoretical predictions explain some previous experimental and numerical observations and are important to correctly plan flume experiments, numerical simulations, paleo-hydraulic reconstructions, and river works.
Full text loading...
Most read this month