Large-Eddy Simulation of Turbulent Flow over a Fixed Two-Dimensional Dune

Turbulent open-channel flow over a two-dimensional dune is studied using an established large-eddy simulation code. The free surface is approximated as a shear free boundary. Turbulence statistics and instantaneous flow structures are examined. Numerical results from two computational grids agree with each other, and are also in good agreement with recently obtained experimental data. The mean velocity profiles show significant changes along the dune and there is no region that conforms to the standard law-of-the-wall. Profiles of the Reynolds stresses show distinct peaks marking the shear layer that originates from flow separation at the dune crest. Secondary peaks found further from the dune are ascribed to the shear layer over the upstream dune. Details of the separated flow and development of the flow after reattachment are well predicted. Quadrant analysis of the Reynolds shear stress shows that turbulent ejections dominate the near-wall motions. Complex water surface flow structures are visualized.

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

[2]  V. C. Patel,et al.  Large-eddy simulation of turbulent flow in a channel with rib roughness , 2003 .

[3]  H. Shen,et al.  Investigation of Turbulent Flow over Dunes , 1990 .

[4]  Martin Hulman,et al.  Raman spectroscopy of small-diameter nanotubes , 2004 .

[5]  Ray Kostaschuk,et al.  An experimental study of turbulent flow over a low‐angle dune , 2002 .

[6]  J. Cui,et al.  Use of Large-Eddy Simulation to Characterize Roughness Effect of Turbulent Flow Over a Wavy Wall , 2003 .

[7]  I. Nezu,et al.  Three-dimensional structure of space-time correlation on coherent vortices generated behind dune crest , 1999 .

[8]  W. Willmarth,et al.  Measurements of the structure of the Reynolds stress in a turbulent boundary layer , 1973, Journal of Fluid Mechanics.

[9]  Robert L. Street,et al.  A coupled multigrid‐domain‐splitting technique for simulating incompressible flows in geometrically complex domains , 1991 .

[10]  V. C. Patel,et al.  Numerical simulation of unsteady multidimensional free surface motions by level set method , 2003 .

[11]  V. C. Patel,et al.  Large eddy simulation of turbulent open-channel flow with free surface simulated by level set method , 2005 .

[12]  C. Mendoza Flow and Transport over Dunes , 2002 .

[13]  Sanjoy Banerjee Upwellings, Downdrafts, and Whirlpools: Dominant Structures in Free Surface Turbulence , 1994 .

[14]  J. Koseff,et al.  A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates , 1994 .

[15]  R. G. Jackson,et al.  Sedimentological and fluid-dynamic implications of the turbulent bursting phenomenon in geophysical flows , 1976, Journal of Fluid Mechanics.

[16]  James Leonard Best,et al.  Measuring velocity and shear stress over dunes with acoustic Doppler profiler , 2004 .

[17]  D. Lyn Turbulence Measurements in Open‐Channel Flows over Artificial Bed Forms , 1993 .

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

[19]  Carl D. Meinhart,et al.  Vortex organization in the outer region of the turbulent boundary layer , 2000, Journal of Fluid Mechanics.

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

[21]  R. Ettema,et al.  Ice-Cover Influence on Near-Field Mixing in Dune-Bed Channel: Numerical Simulation , 1999 .

[22]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[23]  V. C. Patel,et al.  Numerical model of turbulent fl ow over a sand dune , 1996 .

[24]  J. Best The fluid dynamics of river dunes: A review and some future research directions , 2005 .

[25]  D. Lilly,et al.  A proposed modification of the Germano subgrid‐scale closure method , 1992 .

[26]  Sean J. Bennett,et al.  Mean flow and turbulence structure over fixed, two-dimensional dunes: implications for sediment transport and bedform stability , 1995 .