Sediment Transport via Dam-break flows over sloping erodible beds

Studies in Applied Mathematics

Volumn 123, Issue 3, 2009, Pages 257-290

  Emmett, M ^a   Moodie, T B ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

DAMS; EQUATIONS OF MOTION; EROSION; SEDIMENT TRANSPORT; SEDIMENTATION;

A-STABLE; AT RESTS; DAM-BREAK FLOW; ERODIBLE BEDS; EROSION AND DEPOSITION; EXACT SOLUTION; HOMOGENEOUS FLUIDS; METHOD OF CHARACTERISTICS; SHALLOW WATER THEORY; SLOPING BEDS;

FRICTION;

EID: 70349541041     PISSN: 00222526     EISSN: 14679590     Source Type: Journal    
DOI: 10.1111/j.1467-9590.2009.00453.x     Document Type: Article

References (31)

1. H. Capart and D. Young, Formation of a jump by the dam-break wave over a granular bed, J. Fluid Mech. 372 : 165 187 (1998).
2. L. Fraccarollo and H. Capart, Riemann wave description of erosional dam-break flows, J. Fluid Mech. 461 : 183 228 (2002).
3. D. Pritchard and A. Hogg, On sediment transport under dam-break flow, J. Fluid Mech. 473 : 265 274 (2002).
4. P. Stansby, A. Chegini, and T. Barnes, The initial stages of dam-break flow, J. Fluid Mech. 374 : 407 424 (1998). (Pubitemid 128500189)
5. G. Whitham, The effects of hydraulic resistance in the dambreak problem, Proc. Roy. Soc. Lond., Ser. A 227 : 399 407 (1955).
6. A. Ritter, Die Fortpflanzung der Wasserwellen, Z. Verein. Deutsch. Ing. 36 : 947 954 (1892).
7. R. Dressler, Hydraulic resistance effect upon the Dam-break functions, J. Res. Nat. Bur. Stand. 49 : 217 225 (1952).
8. R. Dressler, Comparison of theories and experiments for the hydraulic dam-break wave, In Proceedings of the Commission des Eaux de Surface at the Assemble Gnrale de Rome, International Association of Hydrological Sciences, Vol. 38, pp. 319 328, 1954.
9. A. Hogg and D. Pritchard, The effects of hydraulic resistance on dam-break and other shallow inertial flows, J. Fluid Mech. 501 : 179 212 (2004).
10. M. Emmett and T. B. Moodie, Dam-break flows with resistance as agents of sediment transport, Phys. Fluids 20 (8 086603 (2008).
11. R. Bonnecaze, H. Huppert, and J. Lister, Particle-driven gravity currents, J. Fluid Mech. 250 : 339 369 (1993).
12. R. Bonnecaze, M. Hallworth, H. Huppert, and J. Lister, Axisymmetric particle-driven gravity currents, J. Fluid Mech. 294 : 93 121 (1995).
13. R. Bonnecaze, H. Huppert, and J. Lister, Patterns of sedimentation from polydispersed turbidity currents, Proc. Roy. Soc. Lond., Ser. A 452 : 2247 2261 (1996).
14. T. B. Moodie, J. Pascal, and G. Swaters, Sediment transport and deposition from a two-layer fluid model of gravity currents on sloping bottoms, Stud. Appl. Math. 100 : 215 244 (1998).
15. C. Gladstone, J. Phillips, and R. Sparks, Experiments on bidisperse, constant volume gravity currents: Propagation and sediment deposition, Sedimentology 45 : 833 843 (1998).
16. T. B. Moodie, J. Pascal, and J. Bowman, Modeling sediment deposition patterns arising from suddenly released fixed-volume turbulent suspensions, Stud. Appl. Math. 105 : 333 359 (2000).
17. F. De Rooij and S. Dalziel, Time-and space-resolved measurements of deposition under turbidity currents, Spec. Publs. Int. Ass. Sediment 31 : 207 215 (2001).
18. T. B. Moodie and J. Pascal, Nonhydraulic effects in particle-driven gravity currents in deep surroundings, Stud. Appl. Math. 107 : 217 251 (2001).
19. F. Necker, C. Härtel, L. Kleiser, and E. Meiburg, High-resolution simulations of particle-driven gravity currents, Int. J. Multiphase Flow 28 (2 279 300 (2002).
20. F. Blanchette, M. Strauss, E. Meiburg, B. Kneller, and M. Glinsky, High-resolution numerical simulations of resuspending gravity currents: Conditions for self-sustainment, J. Geophys. Res. 110 : C12022.1 C12022.15 (2005).
21. J. Stoker, Water Waves, Interscience, New York, 1957.
22. T. B. Moodie and J. Pascal, Axisymmetric particle-bearing gravity flows on sloping bottoms, Can. Appl. Math. Q. 7 : 17 47 (1999).
23. R. Bagnold, Auto-Suspension of Transported Sediment; Turbidity Currents, Proc. Roy. Soc. Lond., Ser. A 265 (1322 315 319 (1962).
24. G. Whitham, Linear and Nonlinear Waves, Wiley, New York, 1974.
25. R. R. Kerswell, Dam break with Coulomb friction: A model for granular slumping? Phys. Fluids 17 (5 057101-1 057101-16 (2005).
26. T. B. Moodie, Gravity currents, J. Comput. Appl. Math. 144 (1-2 49 83 (2002).
27. C. Teisson, M. Ockenden, P. L. Hir, C. Kranenburg, and L. Hamm, Cohesive sediment transport processes, Coastal Eng. 21 : 129 162 (1993).
28. M. García and G. Parker, Entrainment of Bed Sediment Into Suspension, J. Hydr. Eng. 117 (4 414 435 (1991).
29. D. Pritchard and A. Hogg, Suspended sediment transport under seiches in circular and elliptical basins, Coastal Eng. 49 (1-2 43 70 (2003).
30. X. Huang and M. García, A Herschel-Bulkley model for mud flow down a slope, J. Fluid Mech. 374 : 305 333 (1998).
31. D. Pritchard, On fine sediment transport by a flood surge, J. Fluid Mech. 543 : 239 248 (2005).