Evolution and breakdown of Kelvin-Helmholtz billows in stratified compressible flows. Part II: Instability structure, evolution, and energetics

Journal of the Atmospheric Sciences

Volumn 53, Issue 22, 1996, Pages 3192-3212

  Palmer, Teresa L ^a   Fritts, David C ^a   Andreassen, Øyvind ^b  

^a UNIVERSITY OF COLORADO   (United States)

^b NORWEGIAN DEFENCE RESEARCH ESTABLISHMENT FFI   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBLE FLOW; INSTABILITY; STRATIFIED FLOW; VORTICES;

BILLOW; BREAKDOWN; COMPRESSIBLE FLOW; EVOLUTION; INSTABILITY; KELVIN-HELMHOLTZ WAVE; SHEAR FLOW; STRATIFIED FLOW;

EID: 0030390754     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1996)053<3192:EABOKB>2.0.CO;2     Document Type: Article

References (32)

1. Andreassen, Ø., C. E. Wasberg, D. C. Fritts, and J. R. Isler, 1994: Gravity wave breaking in two and three dimensions, 1. Model description and comparison of two-dimensional evolutions. J. Geophys. Res., 99, 8095-8108.
2. Bernal, L. P., and A. Roshko, 1986: Streamwise vortex structure in plane mixing layers. J. Fluid Mech., 170, 499-525.
3. Breidenthal, R., 1981: Structure in turbulent mixing layers and wakes using a chemical reaction. J. Fluid Mech., 109, 1-24.
4. Browand, F. K., and T. Troutt, 1980: A note on spanwise structure in the two-dimensional mixing layer. J. Fluid Mech., 97, 771-781.
5. _, and _, 1985: The turbulent mixing layer: Geometry of large vortices. J. Fluid Mech., 158, 489-509.
6. Caulfield, C. P., and W. R. Peltier, 1994: Three dimensionalization of the stratified mixing layer. Phys. Fluids, 6, 3803-3805.
7. Drazin, P. G., and L. N. Howard, 1966: Hydrodynamic stability of parallel flow of inviscid fluid. Adv. Appl. Mech., 9, 1-89.
8. Fritts, D. C., and P. K. Rastogi, 1985: Convective and dynamical instabilities due to gravity wave motions in the lower and middle atmosphere: Theory and observations. Radio Sci., 20, 1247-1277.
9. _, J. R. Isler, and Ø. Andreassen, 1994: Gravity wave breaking in two and three dimensions, 2. Three dimensional evolution and instability structure. J. Geophys. Res., 99, 8109-8123.
10. _, J. F. Garten, and Ø. Andreassen, 1996a: Wave breaking and transition to turbulence in stratified shear flows. J. Atmos. Sci., 53, 1057-1085.
11. _, T. L. Palmer, Ø. Andreassen, and I. Lie, 1996b: Evolution and breakdown of Kelvin-Helmholtz billows in stratified compressible flows. Part I: Comparison of two- and three-dimensional flows. J. Atmos. Sci., 53, 3173-3191.
12. Jimenez, J., 1983: A spanwise structure in the plane shear layer. J. Fluid Mech., 132, 319-336.
13. Klaassen, G. P., and W. R. Peltier, 1985: The onset of turbulence in finite amplitude Kelvin-Helmholtz billows. J. Fluid Mech., 155, 1-35.
14. _, and _, 1991: The influence of stratification on secondary instability in free shear layers. J. Fluid Mech., 227, 71-106.
15. Lasheras, J. C., and H. Choi, 1988: Three-dimensional instability of a plane free shear layer: An experimental study of the formation and evolution of streamwise vortices. J. Fluid Mech., 189, 53-86.
16. _, J. S. Cho, and T. Maxworthy, 1986: On the origin and evolution of streamwise vortical structures in a plane, free shear layer. J. Fluid Mech., 172, 231-258.
17. Lopez, J. M., and C. J. Bulbeck, 1993: Behavior of streamwise rib vortices in a three-dimensional mixing layer. Phys. Fluids A, 5, 1694-1702.
18. Maxworthy, T., and F. K. Browand, 1975: Experiments in rotating and stratified flows with oceanographic application. Annu. Rev. Fluid Mech., 7, 273-305.
19. Metcalfe, R. W., S. A. Orszag, M. E. Brachet, S. Menon, and J. J. Riley, 1987: Secondary instability of a temporally growing mixing layer. J. Fluid Mech., 184, 207-243.
20. Moser, R. D., and M. M. Rogers, 1993: The three-dimensional evolution of a plane mixing layer. J. Fluid Mech., 247, 275-320.
21. Nagata, M., and F. H. Busse, 1983: Three-dimensional tertiary motions in a plane shear layer. J. Fluid Mech., 135, 1-26.
22. Palmer, T. L., D. C. Fritts, Ø. Andreassen, and I. Lie, 1994: Three-dimensional evolution of Kelvin-Helmholtz billows in stratified compressible flows. Geophys. Res. Lett., 21, 2287-2290.
23. Pierrehumbert, R. T., and S. E. Widnall, 1982: The two- and three-dimensional instabilities of a spatially periodic shear layer. J. Fluid Mech., 114, 59-82.
24. Rogers, M. M., and R. D. Moser, 1992: The three-dimensional evolution of a plane mixing layer: The Kelvin-Helmholtz rollup. J. Fluid Mech., 243, 183-226.
25. Schowalter, D. G., C. W. van Atta, and J. C. Lasheras, 1994: A study of streamwise vortex structure in a stratified shear layer. J. Fluid Mech., 281, 247-291.
26. Scinocca, J. F., 1995: The mixing of mass and momentum by Kelvin-Helmholtz billows. J. Atmos. Sci., 52, 2509-2530.
27. Thorpe, S. A., 1971: Experiments on the instability of stratified shear flows: Miscible fluids. J. Fluid Mech., 46, 299-320.
28. _, 1973: Turbulence in stratified fluids: A review of laboratory experiments. Bound.-Layer Meteor., 5, 95-119.
29. _, 1985: Laboratory observations of secondary structures in Kelvin-Helmholtz billows and consequences for ocean mixing. Geophys. Astrophys. Fluid Dyn., 34, 175-199.
30. _, 1987: Transitional phenomena and the development of turbulence in stratified fluids: A review. J. Geophys. Res., 92, 5231-5248.
31. Winters, K. B., and E. A. D'Asaro, 1994: 3D wave breaking near a critical level. J. Fluid Mech., 272, 255-284.
32. Woods, J. D., 1969: On Richardson's number as a criterion for laminar-turbulent transition in the ocean and atmosphere. Radio Sci., 4, 1289-1298.