The morphodynamics of fluvial sand dunes in the River Rhine, near Mainz, Germany. II. Hydrodynamics and sediment transport

The dynamics of large isolated sand dunes moving across a gravel lag layer were studied in a supply-limited reach of the River Rhine. During daylong surveys, suspended sediment concentration, bedload transport rate, water depth, flow velocity, turbulence intensity, near-bed shear stress and water temperature were recorded over individual isolated dunes. This paper considers the hydrodynamic environment and sediment transport over the dunes. A companion paper details the sedimentology and morphology of the dunes. Flow over the flat gravel lag upstream of large dunes is more uniform than that over dunes, and gravels are rarely entrained by in-bank discharges. Unsteady and non-logarithmic velocity profiles are common within the boundary layer above the stoss side of large dunes, and the near-bed flow demonstrates evidence of large-scale, coherent low-frequency flow structures; these may reflect stacked sequences of separated boundary layers generated by secondary dunes. However, the low-amplitude morphology of large dunes does not affect the statistical properties of turbulence production over the stoss sides. Bed roughness and near-bed shear stress commonly increase steadily over the stoss of dunes, but may decrease near the crest, especially where a crestal platform exists that is devoid of secondary bedforms. Bed roughness scales with the physical size of bed roughness elements. However, variability in roughness lengths is large, owing to the composite nature of bed roughness. Bedload transport over stoss slopes is spatially variable, but often shows an increase with increasing bed shear stress over the stoss. Well-formed wakes only develop downstream of lee slopes, which are close to the angle of repose; otherwise, separation is weak, and suspension and settling of fine sediments is of little consequence to dune evolution. Wake flow is characterized by turbulence production one order of magnitude greater than over the stoss side, which may be related to vortex shedding from the dune. However, wake current speeds are extremely low and variable in direction; reverse flow is not sustained, and no retrogressive bedforms occur in the lee of large dunes. Near-bed shear stress and bed roughness are usually low within the wake, reflecting low current speeds. Weak wake-flow reattachment occurs at a variable distance downstream, up to several times the duneform height. A two-dimensional numerical model for flow over dune topography, calibrated using average parameter values, provided a reasonable description of the flow upstream, and over the backs of large dunes as far as the crestal region. Wake flow could not be modelled. However, the temporal and spatial complexity of natural three-dimensional flow over the dunes resulted in variance in parameter estimates; this variance precluded modelling of flow and bedload transport. Consequently, it was not possible to model dune evolution in a deterministic sense.

[1]  J. R. Allen Sedimentary structures, their character and physical basis , 1982 .

[2]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[3]  G. Gross,et al.  The wind-induced shaping and migration of an isolated dune: A numerical experiment , 1986 .

[4]  Jørgen Fredsøe,et al.  Data analysis of bed concentration of suspended sediment , 1994 .

[5]  M. Church,et al.  Macroturbulence generated by dunes: Fraser River, Canada , 1993 .

[6]  J. Southard,et al.  Bed configuration in steady unidirectional water flows; Part 2, Synthesis of flume data , 1990 .

[7]  M. Selim Yalin,et al.  Mechanics of sediment transport , 1972 .

[8]  Van Rijn,et al.  Sediment Pick‐Up Functions , 1984 .

[9]  Gary Parker,et al.  A new vectorial bedload formulation and its application to the time evolution of straight river channels , 1994, Journal of Fluid Mechanics.

[10]  G. McBoyle,et al.  A review of urban climatology , 1968 .

[11]  R. Soulsby,et al.  Field measurements of sediment suspension above bedforms in a sandy estuary , 1989 .

[12]  Pierre Y. Julien,et al.  SAND-DUNE GEOMETRY OF LARGE RIVERS DURING FLOODS. DISCUSSION AND CLOSURE , 1995 .

[13]  Ray Kostaschuk,et al.  FLOW AND SEDIMENT TRANSPORT OVER LARGE SUBAQUEOUS DUNES : FRASER RIVER, CANADA , 1996 .

[14]  P. Jackson On the displacement height in the logarithmic velocity profile , 1981, Journal of Fluid Mechanics.

[15]  J. Walmsley,et al.  Application of a boundary‐layer model to flow over an eolian dune , 1985 .

[16]  R. Soulsby Dynamics of marine sands , 1997 .

[17]  R. Soulsby,et al.  A comparison of numerical model experiments of free surface flow over topography with flume and field observations , 1993 .

[18]  J. Kennedy The mechanics of dunes and antidunes in erodible-bed channels , 1963, Journal of Fluid Mechanics.

[19]  Gerard Middleton,et al.  Mechanics of sediment movement , 1978 .

[20]  Richard D. Hey,et al.  Flow Resistance in Gravel-Bed Rivers , 1979 .

[21]  B. Gomez Particle size variations in bedload over dunes , 1991 .

[22]  G. Ashley,et al.  Classification of large-scale subaqueous bedforms; a new look at an old problem , 1990 .

[23]  A method for evaluating statistical errors associated with logarithmic velocity profiles , 1983 .

[24]  B. Johns The modelling of the free surface flow of water over topography , 1991 .

[25]  K. H. Andersen,et al.  A SIMPLE MODEL FOR THE VARIOUS PATTERN DYNAMICS OF DUNES , 1998 .

[26]  D. B. Simons,et al.  Summary of alluvial channel data from flume experiments, 1956-61 , 1966 .

[27]  Peter F. Fisher,et al.  A computer model for Barchan-Dune movement , 1988 .

[28]  S. Mclean,et al.  Mean flow and turbulence fields over two‐dimensional bed forms , 1993 .

[29]  S. R. McLean,et al.  Spatially averaged flow over a wavy surface , 1977 .

[30]  Van Rijn,et al.  Closure of "Sediment Transport, Part III: Bed Forms and Alluvial Roughness" , 1984 .

[31]  B. Gomez,et al.  At‐a‐Point Bed Load Sampling in the Presence of Dunes , 1990 .

[32]  Hsieh Wen Shen,et al.  Temperature and Missouri River Stages near Omaha , 1978 .

[33]  B. Malfait,et al.  Abyssal Dunes of Foraminiferal Sand on the Carnegie Ridge , 1974 .

[34]  S. Berné,et al.  Internal structure of subtidal sandwaves revealed by high‐resolution seismic reflection , 1988 .

[35]  J. B. Morton,et al.  Sand transport model of barchan dune equilibrium , 1978 .

[36]  J. Fredsøe Unsteady flow in straight alluvial streams. Part 2. Transition from dunes to plane bed , 1981, Journal of Fluid Mechanics.

[37]  Orr,et al.  The morphodynamics of fluvial sand dunes in the River Rhine, near Mainz, Germany. I. Sedimentology and morphology , 2000 .

[38]  J. Fredsøe Unsteady flow in straight alluvial streams: modification of individual dunes , 1979, Journal of Fluid Mechanics.

[39]  Sharon L. Gabel Geometry and kinematics of dunes during steady and unsteady flows in the Calamus River, Nebraska, USA , 1993 .

[40]  R. L. Soulsby,et al.  Chapter 5 The Bottom Boundary Layer of Shelf Seas , 1983 .