Gravity currents and internal waves in a stratified fluid

Journal of Fluid Mechanics

Volumn 616, Issue , 2008, Pages 327-356

  White, Brian L ^a   Helfrich, Karl R ^b  

^a The University of North Carolina at Chapel Hill   (United States)

^b WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY CONSERVATION; FLUIDS; GRAVITATION; INITIAL VALUE PROBLEMS; LOCKS (FASTENERS); POTENTIAL ENERGY; SPEED;

DAM-BREAK PROBLEMS; ENERGY-CONSERVING; GRAVITY CURRENTS; LABORATORY EXPERIMENTS; LOCK-EXCHANGE FLOWS; NONLINEAR INTERNAL WAVE; NUMERICAL SOLUTION; WEAK STRATIFICATION;

GRAVITY WAVES;

CURRENT VELOCITY; FROUDE NUMBER; INTERNAL WAVE; NUMERICAL METHOD; STRATIFIED FLUID; WAVE GENERATION; WAVE PROPAGATION;

EID: 56549102861     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008003984     Document Type: Article

References (34)

1. AFANASYEV, Y. D. & PELTIER, W. R. 1998 The three-dimensionalization of stratified flow over a two-dimensional ridge. J. Atmos. Sci. 55, 19-39.
2. BAINES, P. G. 1997 Topographic Effects in Stratified Flows. Cambridge University Press.
3. BELL, J. B. & MARCUS, D. L. 1992 A second-order projection method for variable-density flows. J. Comput. Phys. 101, 334-348.
4. BENJAMIN, T. B. 1966 Internal waves of finite amplitude and permanent form. J. Fluid Mech 25, 241-270.
5. BENJAMIN, T. B. 1968 Gravity currents and related phenomena. J. Fluid Mech. 31, 209-248.
6. BIRMAN, V. K., MEIBURG, E. & UNGARISH, M. 2007 On gravity currents in stratified ambients. Phys. Fluids 19, 086602-10.
7. BRITTER, R. E. & SIMPSON, J. E. 1981 A note on the structure of the head of an intrusive gravity current. J. Fluid Mech. 112 459-466.
8. BROWN, D. J. & CHRISTIE, D. R. 1998 Fully nonlinear solitary waves in continuously stratified incompressible Boussinesq fluids. Phys. Fluids 10, 2569-2586.
9. DERZHO, O. G. & GRIMSHAW, R. 1997 Solitary waves with a vortex core in a shallow layer of stratified fluid. Phys. Fluids 9, 3378-3385.
10. FAUST, K. M. & PLATE, E. J. 1984 Experimental investigation of intrusive gravity currents entering stably stratified fluids. J. Hydraul. Res. 22, 315-325.
11. FLYNN, M. R & LINDEN, P. F. 2006 Intrusive gravity currents. J. Fluid Mech. 568, 193-202.
12. GRIMSHAW, R. H. J. & SMYTH, N. 1986 Resonant flow of a stratified fluid over topography. J. Fluid Mech. 169, 429-464.
13. GRIMSHAW, R. & YI, Z. 1991 Resonant generation of finite amplitude waves by the flow of a uniformly stratified fluid over topography. J. Fluid Mech. 229, 603-628.
14. HELFRICH, K. R. & MELVILLE, W. K. 2006 Long nonlinear internal waves. Annu. Rev. Fluid Mech. 38, 395-425.
15. HELFRICH, K. R. & PINEDA, J. 2003 Accumulation of particles in propagating fronts. Limnol. Oceanogr. 48, 1509-1520.
16. LAMB, K. G. 2002 A numerical investigation of solitary internal waves with trapped cores formed via shoaling. J. Fluid Mech. 451, 109-144.
17. LAMB, K. G. & WAN, B. G. 1998 Conjugate flows and flat solitary waves for a continuously stratified fluid. Phys. Fluids 10, 2061-2079.
18. LAMB, K. G. & WILKIE, K. P. 2004 Conjugate flows for waves with trapped cores. Phys. Fluids 16, 4685-4695.
19. LOWE, R. J., ROTTMAN, J. W. & LINDEN, P. F. 2005 The non-Boussinesq lock-exchange problem. Part 1. Theory and experiments. J. Fluid Mech. 537, 101-124.
20. MARGOLIN, L. G., RIDER, W. J. & GRINSTEIN, F. F. 2006 Modeling turbulent flow with implicit LES. J. Turbulence 15, DOI:10.1080/14685240500331595.
21. MAXWORTHY, T., LEILICH, J., SIMPSON, J. E. & MEIBURG, E. H. 2002 The propagation of a gravity current into a linearly stratified fluid. J. Fluid Mech. 453, 371-394.
22. MELVILLE, W. K. & HELFRICH, K. R. 1987 Transcritical two-layer flow over topography. J Fluid Mech. 178, 31-52.
23. MILES, J. W. 1980 Solitary waves. Annu. Rev. Fluid Mech. 12, 11-43.
24. NASH, J. D. & MOUM, J. N. 2005 River plumes as a source of large-amplitude internal waves in the coastal ocean. Nature 437 400-403.
25. PINEDA, J. 1991 Predictable upwelling and the shoreward transport of planktonic larvae by internal tidal bores. Science 253, 548-551.
26. ROTTMAN, J. W. & SIMPSON, J. E. 1989 The formation of internal bores in the atmosphere - a laboratory model. Q. J. R. Met. Soc. 115, 941-963.
27. SHIN, J. O., DALZIEL, S. B. & LINDEN, P. F. 2004 Gravity currents produced by lock exchange. J. Fluid Mech. 521, 1-34.
28. SIMPSON, J. E. 1999 Gravity Currents: In the Environment and the Laboratory, 2nd edn. Cambridge University Press.
29. UNGARISH, M. 2005a Dam-break release of a gravity current in a stratified ambient. Eur. J. Mech. B Fluids 24, 642-658.
30. UNGARISH, M. 2005b Intrusive gravity currents in a stratified ambient: Shallow-water theory and numerical results. J. Fluid Mech. 535, 287-323.
31. UNGARISH, M. 2006 On gravity currents in a linearly stratified ambient: A generalization of Benjamin's steady-state propagation results. J. Fluid Mech. 548, 49-68.
32. UNGARISH, M. 2008 On energy balances and front speed conditions for two-layer models for gravity currents produced by lock release. Acta Mech, doi:10.1007/S00707-008-0073-z.
33. UNGARISH, M. & HUPPERT, H. E. 2002 On gravity currents propagating at the base of a stratified ambient. J. Fluid Mech. 458, 283-301.
34. UNGARISH, M. & HUPPERT, H. E. 2006 Energy balances for propagating gravity currents: Homogeneous and stratified ambients. J. Fluid Mech. 565, 363-380.