Excitation of internal waves and stratified turbulence by parametric instability

Dynamics of Atmospheres and Oceans

Volumn 23, Issue 1-4, 1996, Pages 335-343

  Benielli, D ^a   Sommeria, J ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

INTERNAL WAVES; PARAMETRIC INSTABILITIES; STRATIFICATION; TURBULENCE;

CONVECTIVE INSTABILITY; DENSITY STRATIFICATION; INTERNAL WAVE; INTERNAL WAVES; LABORATORY TANK EXPERIMENT; PARAMETRIC INSTABILITY; STANDING WAVES; TURBULENCE; WAVE BREAKING;

EID: 0029657516     PISSN: 03770265     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0265(95)00432-7     Document Type: Article

References (19)

1. Batchelor, G., 1959. Small-scale variation of convected quantities like temperature in turbulent fluids: 1 - General discussion and the case of small conductivity. J. Fluid Mech., 5: 113.
2. Benielli, D. and Sommeria, J,. 1995. Excitation and breaking of internal waves by parametric instability.
3. Bouruet-Aubertot, P., Sommeria, J. and Staquet, C., 1995. Breaking of standing Internal gravity waves through two-dimensional instabilities. J. Fluid Mech., 285: 265-301.
4. Bouruet-Aubertot, P., Sommeria, J. and Staquet, C, 1996. Stratified turbulence produced by internal wave breaking: two-dimensional numerical experiments. Dyn. Atmos. Oceans, 23: 357-369.
5. Fermi, E., Pasta, J. and Ulam, S., 1965. Collected papers of E. Fermi, Vol. II. University of Chicago, p 978.
6. Fleury, M., Mory, M., Hopfinger, E.J. and Auchere, D., 1991. Effect of rotation on turbulent mixing across a density interface. J. Fluid Mech., 223: 165-191.
7. Fritts, D.C., 1984. Gravity wave saturation in the middle atmosphere: a review of theory and observations. Rev. Geophys. Space Phys., 22: 275-308.
8. Gargett, A.E., Hendricks, P.J., Sanford, T.B., Osborn, T.R. and Williams III, A.J., 1981. A composite spectrum of vertical shear in the upper ocean. J. Phys. Oceanogr., 11: 1258-1271.
9. Hannoun, I.A. and List, E.J., 1988. Turbulent mixing at shear-free density interface. J. Fluid Mech., 189: 211-234.
10. Holloway, G., 1988. The buoyancy flux from internal gravity wave breaking. Dyn. Atmos. Oceans, 12: 107-125.
11. Isola, S., Livi, R., Ruffo, S. and Vulpiani, A., 1986. Stability and chaos in hamiltonian dynamics. Phys. Rev. A, 33: 1163-1170.
12. Kalinichenko, V.A., 1986. Laboratory investigation of parametric instability in a two-layer fluid. Izv. Atmos. Ocean. Phys., 22: 155-158.
13. Lienhard, J.H. and van Atta, C.W., 1990. The decay of turbulence in thermally stratified flow. J. Fluid Mech., 210: 57-112.
14. Lumley, J.L., 1964. The spectrum of nearly inertial turbulence in a stably-stratified fluid. J. Atmos. Sci., 21: 99-102.
15. McEwan, A.D. and Robinson, R.M., 1975. Parametric instability of internal gravity waves. J. Fluid Mech., 67: 667-687.
16. Sekerzh-Zen'kovich, S. Ya., 1983a. Parametric excitation of finite amplitude waves at the interface between two liquids with different densities. Dokl. Acad. Nauk SSSR, 272: 1083-1086.
17. Sekerzh-Zen'kovich, S. Ya., 1983b. Parametric resonance in stratified liquid in a container undergoing vertical vibrations. Sov. Phys. Dokl., 28: 445-446.
18. Sidi, C. and Dalaudier, F., 1989. Temperature and heat flux spectra in turbulent buoyancy sub-range. PAGeoph, 130: 547-569.
19. Yoon, K. and Warhaft, Z., 1990. The evolution of grid generated turbulence under conditions of stable stratification. J. Fluid Mech., 215: 601-638.