Nonlinearities and linearities in internal gravity waves of the atmosphere and oceans

Geophysical and Astrophysical Fluid Dynamics

Volumn 96, Issue 1, 2002, Pages 1-30

  Hines, Colin O ^a  

^a NONE   (Canada)

Author keywords

Atmospheric waves; Eikonals; Gravity waves; Nonlinear waves; Oceanic waves; Ray tracing; Wave packets; Waves

Indexed keywords

ATMOSPHERIC MOVEMENTS; LINEAR SYSTEMS; NONLINEAR SYSTEMS; OCEAN CURRENTS; RAY TRACING;

ATMOSPHERIC WAVES; EIKONALS; NONLINEAR WAVES; OCEANIC WAVES; WAVE PACKETS;

GRAVITY WAVES;

ATMOSPHERIC MOVEMENTS; GRAVITY WAVES; LINEAR SYSTEMS; NONLINEAR SYSTEMS; OCEAN CURRENTS; RAY TRACING;

ATMOSPHERIC DYNAMICS; EULERIAN ANALYSIS; GRAVITY WAVE; LAGRANGIAN ANALYSIS; LINEARITY; NONLINEARITY; NUMERICAL METHOD; OCEAN WAVE;

EID: 0006641236     PISSN: 03091929     EISSN: 10290419     Source Type: Journal    
DOI: 10.1080/03091920290018826     Document Type: Article

References (18)

1. Allen, K.R. and Joseph, R.I., "A canonical statistical theory of oceanic internal waves", J. Fluid Mech., 204, 185-228 (1989).
2. Broutman, D., Macaskill, C., McIntyre, M.E. and Rottman, J.W., "On Doppler-spreading models of internal waves", Geophys. Res. Lett., 24, 2813-2816 (1997).
3. Chunchuzov, I.P., "The spectrum of high-frequency internal waves in the atmospheric waveguide", J. Atmos. Sci., 53, 1798-1814 (1996).
4. Eckermann, S.D., "Influence of wave propagation on the Doppler spreading of atmospheric gravity waves", J. Atmos. Sci., 54, 2544-2573 (1997).
5. -3 vertical wavenumber spectra near the onset of instability", Geophys. Res. Lett., 26, 201-204 (1999).
6. Flatte, S.M., Henyey, F.S. and Wright, J.A., "Eikonal calculations of short-wavelength internal-wave spectra", J. Geophys. Res., 90, 7265-7272 (1985).
7. Henyey, F.S., Wright, J. and Flatte, S.M., "Energy and action density through the internal wave field: an eikonal approach", J. Geophys. Res., 91, 8487-8495 (1986).
8. Hines, C.O., "Internal atmospheric gravity waves at ionospheric heights", Can. J. Phys., 38, 1441-1481 (1960).
9. Hines, C.O., "The saturation of gravity waves in the middle atmosphere. Part I: Critique of linear-instability theory", J. Atmos. Sci., 48, 1348-1359 (1991).
10. Hines, C.O., "Nonlinearity of gravity wave saturated spectra in the middle atmosphere", Geophys. Res. Lett., 23, 3309-3312 (1996).
11. Holloway, G., "Oceanic waves are not weak waves", J. Phys. Oceanogr., 12, 293-296 (1980).
12. Holloway, G., "Theoretical approaches to interactions among internal waves, turbulence and fine structure". In: Nonlinear Properties of Internal Waves (Ed. B. West) Amer. Inst. Phys. (1981).
13. Jones, W.L., "Ray tracing for internal gravity waves", J. Geophys. Res., 74, 2028-2033 (1969).
14. Lamb, H., "Hyrdodynamics", Dover Publications, New York (1945).
15. Landau, L.D. and Lifshitz, E.M., "Fluid Mechanics", Addison-Wesley (1959).
16. Lighthill, J., "Waves in Fluids". Cambridge University Press (1978).
17. Munk, W., "Internal waves and small-scale processes". In: Evolution of Physical Oceanography (Eds. B.A. Warren and C. Wunsch), MIT Press (1981).
18. Weinstock, J., "Nonlinear theory of acoustic-gravity waves: 1. Saturation and enhanced diffusion", J. Geophys. Res., 81, 633-652 (1976).