Finite-amplitude river dunes

Journal of Fluid Mechanics

Volumn 611, Issue , 2008, Pages 283-306

  Colombini, M ^a   Stocchino, A ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); NONLINEAR ANALYSIS; OPEN CHANNEL FLOW;

CRITICAL CONDITION; DEPTH-AVERAGED VELOCITIES; FINITE AMPLITUDE; IN-LABORATORY EXPERIMENTS; NEIGHBOURHOOD; SHEAR VELOCITIES; SUITABLE CONDITIONS; WEAKLY NON-LINEAR STABILITIES;

SHEAR FLOW;

BIFURCATION; DUNE FORMATION; FLOW STABILITY; OPEN CHANNEL FLOW; SEDIMENT TRANSPORT; SUPERCRITICAL FLOW;

EID: 50949127906     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008002814     Document Type: Article

References (44)

1. ALLEN, J. R. L. 1968 Current Ripples: Their Relation to Patterns of Water and Sediment Motion. North-Holland.
2. ASCE, TASK COMMITTEE 1963 Friction factors in open channels. J. Hydraul. Div. 89 (HY2), 97-143.
3. ASCE, TASK COMMITTEE 2002 Flow and transport over dunes. J. Hydraul. Engng. ASCE 127, 726-728.
4. BESIO, G., BLONDEAUX, P. & VITTORI, G. 2006 On the formation of sand waves and sand banks. J. Fluid Mech. 557, 1-27.
5. BEST, J. 2005 The fluid dynamics of river dunes: A review and some future research directions. J. Geophys. Res. Earth Surface 110 F04S02.
6. BEST, J. & KOSTASCHUK, R. 2002 An experimental study of turbulent flow over a low-angle dune. J. Geophys. Res. Earth Surface 107 (C9), 3135-3153.
7. BLONDEAUX, P. 1990 Sand ripples under sea waves. Part 1. Ripple formation. J. Fluid Mech. 218, 1-17.
8. BLONDEAUX, P. & SEMINARA, G. 1985 A unified bar-bend theory of river meanders. J. Fluid Mech. 157, 449-470.
9. CALLANDER, R. A. 1969 Instability and river channels. J. Fluid Mech. 36, 465-480.
10. CARLING, P. A. & SHVIDCHENKO, A. B. 2002 A consideration of the dune:aNtidune transition in fine gravel. Sedimentology 49, 1269-1282.
11. CARLING, P. A., GÖLZ, E., ORR, H. G. & RADECKI-PAWLIK, A. 2000 The morphodynamics of fluvial sand dunes in the river Rhine, near Mainz, Germany. I. sedimentology and morphology. Sedimentology 47, 227-252.
12. CARLING, P. A., RICHARDSON, K. & IKEDA, H. 2005 A flume experiment on the development of subacqueous fine-gravel dunes from a lower-stage plan bed. J. Geophys. Res. Earth Surface 110, F04S05.
13. COLEMAN, S. E. & FENTON, J. D. 2000 Potential-flow instability theory and alluvial stream bed forms. J. Fluid Mech. 418, 101-117.
14. COLEMAN, S. E. & MELVILLE, B. W. 1996 Initiation of bed forms on a flat sand bed. J. Hydraul. Engng ASCE 122, 301-310.
15. COLEMAN, S. E., NIKORA, V. I., MCLEAN, S. R., CLUNIE, T. M., SCHLICKE, T. & MELVILLE, B. W. 2006 Equilibrium hydrodynamics concept for developing dunes. Phys. Fluids 18, 12.
16. COLOMBINI, M. 2004 Revisiting the linear theory of sand dune formation. J. Fluid Mech. 502, 1-16.
17. COLOMBINI, M. & STOCCHINO, A. 2005 Coupling or decoupling bed and flow dynamics: Fast and slow sediment waves at high Froude numbers. Phys. Fluids 17 (3), 9.
18. COLOMBINI, M., SEMINARA, G. & TUBINO, M. 1987 Finite-amplitude alternate bars. J. Fluid Mech. 181, 213-232.
19. ENGELUND, F. 1970 Instability of erodible beds. J. Fluid Mech. 42, 225-244.
20. ENGELUND, F. & FREDSØE, J. 1974 Transition from dunes to plane bed in alluvial channels. Series paper 4. Tech. Univ. Denmark, Inst. Hydrodyn. and Hydraulic Engng.
21. ENGELUND, F. & HANSEN, E. 1967 A Monograph on Sediment Transport in Alluvial Streams. Teknisk Forlag, Copenhagen, Denmark.
22. FEDERICI, B. & SEMINARA, G. 2003 On the convective nature of bar instability. J. Fluid Mech. 487, 125-145.
23. FREDSØE, J. 1974 On the development of dunes in erodible channels. J. Fluid Mech. 64, 1-16.
24. GIRI, S. & SHIMIZU, Y. 2006 Numerical computation of sand dune migration with free surface flow. Water Resour. Res. 42, W10422.
25. GUY, H. P., SIMONS, D. B. & RICHARDSON, E. V. 1966 Summary of alluvial channel data from flume experiments 1956-61. Prof. paper 462-I. US Geol. Survey.
26. IKEDA, S., PARKER, G. & SAWAY, K. 1981 Bend theory of river meanders. Part 1. Linear development. J. Fluid Mech. 112, 363-377.
27. JI, Z.-G. & MENDOZA, C. 1997 Weakly nonlinear stability analysis for dune formation. J. Hydraul. Engng ASCE 123, 979-985.
28. KENNEDY, J. F. 1963 The mechanism of dunes and antidunes in erodible-bed channels. J. Fluid Mech. 16, 521-544.
29. LEE, H.-Y. & HSU, I.-S. 1994 Investigation of saltating particle motion. J. Hydraul. Engng ASCE 120, 831-845.
30. MEYER-PETER, E. & MÜLLER, R. 1948 Formulas for bed-load transport. In Proc. 2nd Meeting IAHR, pp. 39-64. Stockholm, Sweden.
31. PARKER, G. 1975 Sediment inertia as cause of river antidunes. J. Hydraul. Div. 101, 536-558.
32. REYNOLDS, A. J. 1965 Waves on an erodible bed. J. Fluid Mech. 22, 113-133.
33. RICHARDS, K. J. 1980 The formation of ripples and dunes on an erodible bed. J. Fluid Mech. 99, 597-618.
34. ROUSE, H. 1946 Elementary Mechanics of Fluids. Wiley.
35. SCHIELEN, R., DOELMAN, A. & DE SWART, H. E. 1993 On the nonlinear dynamics of free bars in straight channels. J. Fluid Mech. 252 325-356.
36. SEKINE, M. & KIKKAWA, H. 1992 Mechanics of saltating grains. J. Hydraul. Engng ASCE 118, 536-558.
37. SMITH, J. D. 1970 Stability of a sand bed subjected to a shear flow at low Froude number. J. Geophys. Res. 75, 5928-5940.
38. STUART, J. T. 1971 Nonlinear stability theory. Annu. Rev. Fluid Mech. 3, 347-370.
39. SUMER, B. M. & BAKIOGLU, M. 1984 On the formation of ripples on an erodible bed. J. Fluid Mech. 144, 177-190.
40. TJERRY, S. & FREDSØE, J. 2005 Calculation of dune morphology. J. Geophys. Res. Earth Surface 110, F04013.
41. VAN RIJN, L. C. 1984a Sediment transport, Part ii: Suspended load transport. J. Hydraul. Engng ASCE 110, 1613-1641.
42. VAN RIJN, L. C. 1984b Sediment transport, Part iii: Bed forms and alluvial roughness. J. Hydraul. Engng ASCE 110, 1733-1754.
43. VANONI, V. A. & BROOKS, N. H. 1957 Laboratory studies of the roughness and suspended load of alluvial streams. Tech. Rep. California Institute of Technology, Pasadena, California.
44. WONG, M. & PARKER, G. 2006 Reanalysis and correction of bed-load relation of Meyer-Peter and Müller using their own database. J. Hydraul. Engng ASCE 132, 1159-1168.