High-resolution simulations of cylindrical density currents

Journal of Fluid Mechanics

Volumn 590, Issue , 2007, Pages 437-469

  Cantero, Mariano I ^a   Balachandar, S ^b   Garcia, Marcelo H ^a  

^a University of Illinois at Urbana Champaign   (United States)

^b University of Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FLOW PATTERNS; REYNOLDS NUMBER; TURBULENCE; VORTEX FLOW;

BOUSSINESQ APPROXIMATION; KELVIN-HELMHOLTZ VORTEX;

FLUID MECHANICS;

APPROXIMATION THEORY; COMPUTER SIMULATION; FLOW PATTERNS; FLUID MECHANICS; REYNOLDS NUMBER; TURBULENCE; VORTEX FLOW;

BOUSSINESQ EQUATION; COMPUTER SIMULATION; DENSITY CURRENT; EXPERIMENTAL STUDY; FLOW STRUCTURE; KELVIN-HELMHOLTZ INSTABILITY; LABORATORY METHOD; REYNOLDS NUMBER; THREE-DIMENSIONAL MODELING; TURBULENCE; VORTICITY;

EID: 35948985466     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007008166     Document Type: Article

References (33)

1. ALAHYARI, A. & LONGMIRE, E. 1996 Development and structure of a gravity current head. Exps. Fluids 20, 410-416.
2. ALLEN, J. 1971 Mixing at turbidity current heads, and its geological implications. J. Sediment. Petrol. 41, 97-113.
3. ALLEN, J. 1985 Principles of Physical Sedimentology. George Allen and Unwin Ltd.
4. BONNECAZE, R., HALLWORTH, M., HUPPERT, H. & LISTER, J. 1995 Axisymmetric particle-driven gravity currents. J. Fluid Mech. 294, 93-121.
5. CANTERO, M., BALACHANDAR, S., GARCÍA, M. & FERRY, J. 2006 Direct numerical simulations of planar and cyindrical density currents. Trans. ASME: J. Appl. Mech. 73, 923-930.
6. CANTERO, M., LEE, J. R., BALACHANDAR, S. & GARCÍA, M. 2007 On the front velocity of gravity currents. J. Fluid Mech. 586, 1-39.
7. CHAKRABORTY, P., BALACHANDAR, S. & ADRIAN, R. 2005 On the relationships between local vortex identification schemes. J. Fluid Mech. 535, 189-214.
8. FANNELOP, T. & WALDMAN, G. 1971 The dynamics of oil slicks - or 'creeping crude. AIAAJ 41, 1-10.
9. FAY, J. 1969 The spreads of oil slicks on a calm sea. In Oils in the Sea (ed. D. P. Hoult), pp. 53-63. Plenum.
10. GARCÍA, M. & PARSONS, J. 1996 Mixing at the front of gravity currents. Dyn. Atmosp. Oceans 24, 197-205.
11. HALLWORTH M., HUPPERT, H., PHILLIPS, J. & SPARKS, R. 1996 Entrainment into two-dimensional and axisymmetric turbulent gravity currents. J. Fluid Mech. 308, 289-311.
12. HALLWORTH M., HUPPERT, H. & UNGARISH, M. 2001 Axisymmetric gravity currents in a rotating system: Experimental and numerical investigations. J. Fluid Mech. 447, 1-29.
13. HÄRTEL, C., CARLSSON, F. & THUNBLOM, M. 2000a Analysis and direct numerical simulation of the flow at a gravity-current head. Part 2. The lobe-and-cleft instability. J. Fluid Mech. 418, 213-229.
14. HÄRTEL, C., MEIBURG, E. & NECKER, F. 2000b Analysis and direct numerical simulation of the flow at a gravity-current head. Part 1. Flow topology and front speed for slip and no-slip boundaries. J. Fluid Mech. 418, 189-212.
15. HOULT, D. 1972 Oil spreading in the sea. Annu. Rev. Fluid Mech. 4, 341-368.
16. HUPPERT, H. 1982 The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface. J. Fluid Mech. 121, 43-58.
17. HUPPERT, H. & SIMPSON, J. 1980 The slumping of gravity currents. J. Fluid Mech. 99, 785-799.
18. LEE, B. & WILHELMSON, R. 1997a The numerical simulation of non-supercell tornadogenesis. Part I: Initiation and evolution of pretornadic misocyclone circulation along a dry outflow boundary. J. Atmos. Sci. 54, 32-60.
19. LEE, B. & WILHELMSON, R. 1997b The numerical simulation of non-supercell tornadogenesis. Part II: Evolution of a family of tornadoes along a weak outflow boundary. J. Atmos. Sci. 54, 2387-2415.
20. MARINO, B., THOMAS, L. & LINDEN, P. 2005 The front condition for gravity currents. J. Fluid Mech. 536, 49-78.
21. MARTIN, J. & MOYCE, W. 1952 Part V. An experimental study of the collapse of fluid columns on a rigid horizontal bottom, in a medium of lower, but comparable, density. Phil. Trans. R. Soc. Lond. A 244, 325-334.
22. NECKER, F., HÄRTEL, C., KLEISER, L. & MEIBURG, E. 2002 High-resolution simulations of particle-driven gravity currents. Intl J. Multiphase Flow 28, 279-300.
23. ÖZGÖKMEN, T., FISCHER, P., DUAN, J. & ILIESCU, T. 2004 Three-dimensional turbulent bottom density currents from a high-order nonhydrostatic spectral element model. J. Phys. Oceanogr. 34 2006-2026.
24. PARSONS, J. & GARCÍA, M. 1998 Similarity of gravity current fronts. Phys. Fluids 10, 3209-3213.
25. PATTERSON, M., SIMPSON, J., DALZIEL, S. & VAN HEIJST, G. 2006 Vortical motion in the head of an axisymmetric gravity current. Phys. Fluids 18 (4), 046601.
26. ROTTMAN, J. & SIMPSON, J. 1983 Gravity currents produced by instantaneous releases of a heavy fluid in a rectangular channel. J. Fluid Mech. 135, 95-110.
27. SIMPSON, J. 1972 Effects of the lower boundary on the head of a gravity current. J. Fluid Mech. 53 (4), 759-768.
28. SIMPSON, J. 1997 Gravity Currents, 2nd edn. Cambridge University Press.
29. SIMPSON, J. & BRITTER, R. 1979 The dynamics of the head of a gravity current advancing over a horizontal surface. J. Fliud Mech. 94, 477-495.
30. UNGARISH, M. 2007 Axisymmetric gravity currents at high reynolds numbers: On the quality of shallow-water modeling of experimental observations. Phys. Fluids 19, 036602.
31. UNGARISH, M. & ZEMACH, T. 2005 On the slumping of high reynolds number gravity currents in two-dimensional and axisymmetric configurations. Eur. J. Mech. B/Fluids 24, 71-90.
32. WU, J., MA, H. & ZHOU, M. 2006 Vorticity and Vortex Dynamics Springer.
33. ZHOU, J., ADRIAN, R., BALACHANDAR, S. & KENDALL, T. 1999 Mech. for generating coherent packets of hairpin vortices. J. Fluid Mech. 387, 353-396.