A model for the simulation of coupled flow-bed form evolution in turbulent flows

Journal of Geophysical Research: Oceans

Volumn 115, Issue 10, 2010, Pages

  Chou, Yi Ju ^a   Fringer, Oliver B ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW FIELDS; FLUID DYNAMICS; GRAVITATION; NUMERICAL METHODS; RIVERS; SEDIMENT TRANSPORT; SEDIMENTOLOGY; THREE DIMENSIONAL; TURBULENCE; TURBULENT FLOW;

ARBITRARY LAGRANGIAN EULERIAN METHOD; BED FEATURES; BED FORMS; BED LOAD; BOTTOM BOUNDARY CONDITIONS; COUPLED FLOW; CURVILINEAR COORDINATE SYSTEMS; DOMAIN BOUNDARY; DYNAMIC MIXED MODEL; ELEVATION MODELS; EULERIAN APPROACH; FINE GRIDS; MASS BALANCE EQUATIONS; MOVING BED; NEAR-WALL TURBULENCE; NUMERICAL MODELS; OSCILLATORY FLOWS; SAND RIPPLE; SECOND ORDERS; STRESS-INDUCED; SUBGRID SCALE; SUSPENDED LOADS; THREE-DIMENSIONAL NUMERICAL MODELS; TIME-DEPENDENT; TURBULENT BOUNDARY LAYERS; TURBULENT MOTION;

FLOW SIMULATION;

AVALANCHE; BEDFORM; BOTTOM STRESS; COORDINATE; EDDY; ENTRAINMENT; EULERIAN ANALYSIS; FLOW MODELING; FLUID MECHANICS; GRAVITY FIELD; HYDRODYNAMICS; LAGRANGIAN ANALYSIS; LARGE EDDY SIMULATION; NUMERICAL MODEL; OSCILLATING FLOW; SEDIMENT TRANSPORT; SUSPENDED LOAD; THREE-DIMENSIONAL MODELING; TURBULENT FLOW;

EID: 78049362267     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2010JC006103     Document Type: Article

References (51)

1. Andersen, K. H., M. Abel, J. Krug, C. Ellegaard, L. R. Sondergaard, and J. Udesen (2002), Pattern dynamics of vortex ripples in sand: Nonlinear modeling and experimental validation, Phys. Rev. Lett., 88(23), 234302.1-234302.4.
2. Armenio, V., and S. Sarkar (2002), An investigation of stably stratified turbulent channel flow using large-eddy simulation, J. Fluid Mech., 459, 1-42.
3. Barr, B. C., D. Slinn, T. Piero, and K. Winters (2004), Numerical simulation of turbulent, oscillatory flow over sand ripples, J. Geophys. Res., 109, C09009, doi:10.1029/2002JC001709. (Pubitemid 41051096)
4. Blondeaux, P., and G. Vittori (1991), Vorticity dynamics in an oscillatory flow over a rippled bed, J. Fluid Mech., 226, 257-289.
5. Celik, I., and W. Rodi (1988), Modeling suspended sediment transport in nonequilibrium situations, J. Hydraul. Eng., 114(10), 1157-1191.
6. Chang, Y. S., and A. Scotti (2003), Entrainment and suspension of sediments into a turbulent flow over ripples, J. Turbul., 4(19), 1-22.
7. Chou, Y., and O. B. Fringer (2008), Modeling dilute sediment suspension using large-eddy simulation with a dynamic mixed model, Phys. Fluids, 20, 115103.1-115103.13.
8. Chou, Y., and O. B. Fringer (2010), Consistent discretization for simulations of flows with moving generalized curvilinear coordinates, Int. J. Numer. Methods Fluids, 62, 802-826, doi:10.1002/fld.2046.
9. Chow, F. K., R. L. Street, M. Xue, and J. H. Ferziger (2005), Explicit filtering and reconstruction turbulence modeling for large-eddy simulation of neutral boundary layer flow, J. Atmos. Sci., 62, 2058-2077.
10. Colombini, R. M. (2004), Revisiting the linear theory of sand dune formation, J. Fluid Mech., 502, 1-16.
11. Crowe, C. T., T. R. Troutt, and J. N. Chung (1996), Numerical models for two-phase turbulent flows, Annu. Rev. Fluid Mech., 28, 11-43.
12. Cui, A. (1999), On the parallel computing of turbulent rotating stratified flows, Ph. D. dissertation, Stanford Univ., Stanford, Calif.
13. Cui, A. Q., and R. L. Street (2001), Large-eddy simulation of turbulent rotating convective flow development, J. Fluid Mech., 447, 53-84.
14. Cui, A. Q., and R. L. Street (2004), Large-eddy simulation of coastal upwelling flow, Environ. Fluid Mech., 4, 197-223.
15. Denlinger, R. P., and R. M. Iverson (2004), Granular avalanches across irregular three-dimensional terrain: 1. Theory and computation, J. Geophys. Res., 109, F01014, doi:10.1029/2003JF000085.
16. Faraci, C., and E. Foti (2002), Geometry, migration and evolution of smallscale bed forms generated by regular and irregular waves, Coastal Eng., 47, 35-52.
17. Fernandez Luque, R., and R. van Beek (1976), Erosion and transport of bed load sediment, J. Hydraul. Res., 14(2), 127-144.
18. Fredsoe, J. (1974), On the development of dunes in erodible channels, J. Fluid Mech., 60, 1-16.
19. Fringer, O. B., and R. L. Street (2005), The dynamics of breaking progressive interfacial waves, J. Fluid Mech., 49, 301-329.
20. Gessler, D., B. Hall, M. Spasojevic, F. Holly, H. Pourtaheri, and N. Raphelt (1999), Application of a 3-D mobile bed, hydrodynamic model, J. Hydraul. Eng., 125(7), 737-749. (Pubitemid 29417379)
21. Giri, S., and Y. Shimizu (2006), Numerical computation of sand dune migration with free surface flow, Water Resour. Res., 42, W10422, doi:10.1029/2005WR004588. (Pubitemid 44859715)
22. Grant, W. D., and O. S. Madsen (1982), Movable bed roughness in unsteady oscillatory flow, J. Geophys. Res., 81 (C1), 469-481, doi:10.1029/ JC087iC01p00469.
23. Hodges, B. R., and R. L. Street (1999), On simulation of turbulent nonlinear free-surface flows, J. Comput. Phys., 151, 425-457.
24. Jensen, B. L., B. M. Sumer, and J. Fredsoe (1989), Turbulent oscillatory boundary layers at high Reynolds numbers, J. Fluid Mech., 206, 265-297.
25. Kim, J., and P. Moin (1985), Application of a fractional-step method to incompressible Navier-Stokes equations, J. Comput. Phys., 59, 308-323.
26. Lacy, J. R., D. M. Rubin, H. Ikeda, K. Modukai, and D. Hanes (2007), Bed forms created by simulated waves and currents in a large flume, J. Geophys. Res., 112, C10018, doi:10.1029/2006JC003942. (Pubitemid 350285680)
27. Leonard, B. P. (1979), A stable and accurate convective modeling procedure based on quadratic upstream interpolation, Comput. Meth. Appl. Mech. Eng., 75, 369-392.
28. Leonard, B. P. (1988), Simple high-accuracy resolution program for convective modelling of discontinuities, Int. J. Numer. Methods Fluids, 8, 1291-1318.
29. Liu, K. F., and C. C. Mei (1989), Slow spreading of a sheet of Bingham fluid on an inclined plane, J. Fluid Mech., 207, 505-529.
30. Mangeney-Castelnau, A., F. Bouchut, J. P. Vilotte, E. Lajeunesse, A. Aubertin, and M. Pirulli (2005), On the use of Saint Venant equations to simulate the spreading of a granular mass, J. Geophys. Res., 110, B09103, doi:10.1029/2004JB003161. (Pubitemid 41582616)
31. Meyer-Peter, E., and R. Mueller (1948), Formulas for bed load transport, in Proceedings of the 2nd Meeting of the International Association for Hydraulic Research, Stockholm, 7-9 Jul.
32. Nakayama, A., K. Hori, and R. L. Street (2004), Filtering and LES of flow over irregular rough boundary, paper presented at Summer Program at Center for Turbulence Research, NASA Ames, Stanford Univ., Stanford, Calif.
33. O'Donoghue, T., and G. S. Clubb (2001), Sand ripples generated by regular oscillatory flow, Coastal Eng., 44, 101-115.
34. Ortiz, P., and P. K. Smolarkiewicz (2006), Numerical simulation of sand dune evolution in severe winds, Int. J. Numer. Methods Fluids, 50, 1229-1246.
35. Perng, C. Y., and R. L. Street (1989), 3-D unsteady flow simulation: Alternative strategies for a volume-average calculation, Int. J. Numer. Methods Fluids, 9, 341-362.
36. Pitman, E. B., C. C. Nichita, A. Patra, A. Bauer, M. Sheridan, and M. Bursik (2003), Computing granular avalanches and landslides, Phys. Fluids, 12, 3638-3642.
37. Ribberink, J. S. (1998), Bed-load transport for steady flows and unsteady oscillatory flows, Coastal Eng., 34, 59-82.
38. Ridchards, K. J. (1980), The formation of ripples and dunes on an erodible bed, J. Fluid Mech., 99, 597-618.
39. Scandura, P. G., G. Vittori, and P. Blondeaux (2000), Three-dimensional oscillatory flow over steep ripples, J. Fluid Mech., 412, 335-378.
40. Smith, J. D., and S. R. McLean (1977), Spatially averaged flow over a wacy surface, J. Geophys. Res., 82(12), 1735-1746, doi:10.1029/JC082i012p01735.
41. Soulsby, R. (1997), Dynamics of Marine Sands: A Manual for Practical Applications, Telford, London.
42. Testik, F. Y., S. I. Voroparev, and H. J. Fernando (2005), Adjustment of sand ripples under changing water waves, Phys. Fluids, 17, 072104.1-072104.8.
43. van Rijn, L. C. (1993), Principles of Sediment Transport in Rivers, Estuaries, and Coastal Seas, Aqua, Amsterdam.
44. Whitehouse, R. J. S., and J. Hardisty (1988), Experimental assessment of two theories for the effect of bedslope on the threshold of bed load transport, Mar. Geol, 79, 135-139.
45. Wilson, K. C. (1987), Analysis of bed load motion at high shear stress, J. Hydraul. Div., 113(1), 97-103.
46. Wu, W., W. Rodi, and T. Wenka (2000), 3-D numerical modeling of flow and sediment transport in open channels, J. Hydraul. Eng., 126(1), 4-15.
47. Zang, Y., and R. L. Street (1995), Numerical simulation of coastal upwelling and interfacial instability of a rotating and stratified fluid, J. Fluid Mech., 305, 47-75.
48. Zang, Y., R. L. Street, and J. R. Koseff (1993), A dynamic mixed subgrdscale model and its application to turbulent recirculation flows, Phys. Fluids, 5, 3186-3196.
49. Zang, Y., R. L. Street, and J. R. Koseff (1994), A nonstaggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates, J. Comput. Phys., 18-33.
50. Zedler, E. A., and R. L. Street (2001), Large-eddy simulation of sediment transport: Currents over ripples, J. Hydraul. Eng., 127(6), 444-452.
51. Zedler, E. A., and R. L. Street (2006), Sediment transport over ripples in oscillatory flow, J. Hydraul. Eng., 132(2), 1-14.