Hydrodynamics of Turbid Underflows. I: Formulation and Numerical Analysis

Journal of Hydraulic Engineering

Volumn 125, Issue 10, 1999, Pages 1006-1015

  Bradford, Scott F ^a   Katopodes, Nikolaos D ^b  

^a NAVAL RESEARCH LABORATORY   (United States)

^b University of Michigan   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRODYNAMICS; SEDIMENTS; EROSION; FINITE VOLUME METHOD; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; SEDIMENT TRANSPORT; UNSTEADY FLOW;

CONSERVATION LAW; FINITE-VOLUME; HIGH RESOLUTION; NONCOHESIVE SEDIMENTS; NUMERICAL SOLUTION; SHARP FRONTS; SINGLE LAYER; TOTAL VARIATION DIMINISHING; TWO-DIMENSIONAL; UNDERFLOWS;

NUMERICAL MODELS; HYDRODYNAMICS;

BED-SEDIMENT CONSERVATION EQUATION; PREDICTOR-CORRECTOR METHOD; SEDIMENT DEPOSITION; SEDIMENT ENTRAINMENT; TURBID UNDERFLOW;

HYDRODYNAMICS; MATHEMATICAL MODELING; TURBIDITY;

HYDRODYNAMICS; TURBIDITY CURRENT; UNDERCURRENT;

EID: 0033430083     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(1999)125:10(1006)     Document Type: Article

References (33)

1. Bonnecaze, R. T., Hallworth, M. A., Huppert, H. E., and Lister, J. R. (1995). ‘‘Axisymmetric particle-driven gravity currents.’’ J. Fluid Mech., 294, 93–121.
2. Bonnecaze, R. T., Huppert, H. E., and Lister, J. R. (1993). ‘‘Particle-driven gravity currents.’’ J. Fluid Mech., 250, 339–369.
3. Bradford, S. F. (1996). ‘‘Numerical simulation of a turbidity current hydrodynamics and sedimentation,’’ PhD dissertation, University of Michigan, Ann Arbor, Mich.
4. Bradford, S. F., Katopodes, N. D., and Parker, G. (1997). ‘‘Characteristic analysis of turbid underflows.’’ J. Hydr. Engrg., ASCE, 123(5), 420–431.
5. Dengler, A. T., and Wilde, P. (1987). ‘‘Turbidity currents on steep slopes: Application of an avalanche-type numeric model for ocean thermal energy conversion design.’’ Ocean Engrg., 14, 409–433.
6. Dietrich, W. E. (1982). ‘‘Settling velocity of natural particles.’’ Water Resour. Res., 18, 1615–1626.
7. Flood, R. D., and Damuth, J. E. (1987). ‘‘Quantitative characteristics of sinuous distributary channels of the Amazon deep-sea fan.’’ Geolog. Soc. of Am. Bull., 98, 728–738.
8. Fraccarollo, L., and Toro, E. F. (1995). ‘‘Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems.’’ J. Hydr. Res., ASCE, 33, 843–864.
9. Garcia, M. H. (1994). ‘‘Depositional turbidity currents laden with poorly sorted sediment.’’ J. Hydr. Engrg., ASCE, 120(11), 1240–1263.
10. Garcia, M., and Parker, G. (1991). ‘‘Entrainment of bed sediment into suspension.’’ J. Hydr. Engrg., ASCE, 117(4), 414–435.
11. Garcia, M., and Parker, G. (1993). ‘‘Experiments on the entrainment of sediment into suspension by a dense bottom current.’’ J. Geophys. Res., 98(C3), 4793–4807.
12. Hay, A. E. (1987). ‘‘Turbidity currents and submarine channel formation in Rupert Inlet, British Columbia 1. Surge observations.’’ J. Geophys. Res., 92, 2875–2881.
13. Heezen, B. C., and Ewing, M. C. (1952). ‘‘Turbidity currents and submarine slumps, and the 1929 Grand Banks earthquake.’’ Am. J. Sci., 250, 849–873.
14. Hirsch, C. (1990). Numerical computation of internal and external flows. Wiley, New York.
15. Hiscott, R. N. (1984). ‘‘Loss capacity, not competence, as the fundamental process governing deposition from turbidity currents.’’ J. Sedimentary Res., A64, 209–214.
16. Huppert, H. E., and Simpson, J. E. (1980). ‘‘The slumping of gravity currents.’’ J. Fluid Mech., 99, 785–799.
17. Imran, J., Parker, G., and Katopodes, N. (1998). ‘‘A numerical model of channel inception on submarine fans.’’ J. Geophys. Res., 103(C1), 1219–1238.
18. Inman, D. L., Nordstrom, C. E., and Flick, R. E. (1976). ‘‘Currents in submarine canyons: An air-sea-land interaction.’’ Annu. Rev. of Fluid Mech., 8, 275–310.
19. Komar, P. D. (1977). ‘‘Computer simulation of turbidity current flow and the study of deep-sea channels and fan sedimentation.’’ The sea, Wiley, New York.
20. Middleton, G. V. (1966). ‘‘Experiments on density and turbidity currents I. Motion of the head.’’ Can. J. Earth Sci., 3, 523–546.
21. Middleton, G. V., and Neal, W. J. (1989). ‘‘Experiments on the thickness of beds deposited by turbidity currents.’’ J. Sedimentary Petrology, 59, 297–307.
22. Normark, W. R. (1989). ‘‘Observed parameters for turbidity-current flows in channels, Reserve Fan, Lake Superior.’’ J. Sedimentary Petrology, 59, 423–431.
23. Parker, G. (1982). ‘‘Conditions for the ignition of catastrophically erosive turbidity currents.’’ Marine Geol., 46, 307–327.
24. Parker, G., Fukushima, Y., and Pantin, H. M. (1986). ‘‘Self-accelerating turbidity currents.’’ J. Fluid Mech., 171, 145–181.
25. Parker, G., Garcia, M., Fukushima, Y., and Yu, W. (1987). ‘‘Experiments on turbidity currents over an erodible bed.’’ J. Hydr. Res., 25(1), 123–147.
26. Reynolds, S. (1987). ‘‘A recent turbidity current event, Hueneme Fan, California: Reconstruction of flow properties.’’ Sedimentology, 34, 129–137.
27. Roe, P. L. (1981). ‘‘Approximate Riemann solvers, parameter vectors, and difference schemes.’’ J. Computat. Phys., 43, 357–372.
28. Sloff, C. J. (1997). ‘‘Sedimentation in Reservoirs,’’ PhD thesis, Delft University of Technology, Delft, The Netherlands.
29. Stow, D. A. V., Howell, D. G., and Nelson, C. H. (1985). ‘‘Sedimentary, tectonic, and sea-level controls.’’ Submarine fans and related turbidite systems, Springer, New York.
30. Sweby, P. K. (1984). ‘‘High resolution schemes using flux limiters for hyperbolic conservation laws.’’ SIAM J., 21, 995–1011.
31. Van Leer, B. (1979). ‘‘Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov’s method.’’ J. Computat. Phys., 32, 101–136.
32. Van Leer, B., Lee, W. T., and Powell, K. G. (1989). ‘‘Sonic point capturing.’’ Proc., AIAA 9th Computat. Fluid Dyn. Conf., Buffalo, N.Y., American Institute of Aeronautics and Astronautics, Reston, Va.
33. Wilde, P., Normark, W. R., Chase, T. E., and Gutmacher, C. E. (1985). ‘‘Potential petroleum reservoirs on deep-sea fans off central California.’’ Submarine fans and related turbidite systems, Springer, New York.