Abstract
An argument based upon general principles and a minimum of development is presented to establish the role of nonlinearity in producing the observed saturation of gravity-wave spectra in the middle atmosphere. The complementary role of instability of the nonlinear spectrum is identified. The nonlinear models previously developed are reviewed in the context thus provided.
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References
Allen KR and Joseph RI (1989) A canonical statistical theory of oceanic internal waves. J. Fluid Mech., 204, 185–228.
Fritts DC and VanZand TE (1993) Spectral estimates of gravity wave energy and momentum fluxes. Part I: Enegy dissipation, acceleration, and constrains.J. Atmos. Sci., 50, 3685–3694.
Hines CO (1991a) The saturation of gravity waves in the middle atmosphere. Part I: Critique of linear-instability theory.J. Atmos. Sci., 48, 1348–1359.
Hines CO (1991b) The saturation of gravity waves in the middle atmosphere. Part II: Development of Doppler-spread theory.J. Atmos. Sci., 48, 1360–1379.
Hines CO (1991c) The saturation of gravity waves in the middle atmosphere. Part III: Formation of the turbopause and of turbulent layers beneath it.J. Atmos. Sci., 48, 1380–1385.
Hines CO (1993a) The saturation of gravity waves in the middle atmosphere. Part IV: Cutoff of the incident wave spectrum.J. Atmos. Sci., 50, 3045–3060.
Hines CO (1993b) A critical comparison of theories of gravity wave saturation.Coupling Processes in the Lower and Middle Atmosphere, Ed. E. V. Thrane et al., Kluwer Academic Publ., 233–239.
Hines CO (1997a) Doppler-spread parameterization of gravity- wave momentum deposition in the middle atmosphere. Part 1: Basic formulation. In press,J. Atmos. Terr. Phys.
Hines CO (1997b) Doppler-spread parameterization of gravity-wave momentum deposition in the middle atmosphere. Part 2: Broad and quasi monochromatic spectra, and implementation. In press,J. Atmos. Terr. Phys.
Lumley JL (1964) The spectrum of nearli inertial turbulence in a stably stratified fluid.J. Atmos. Sci., 21, 99–102.
Mayr HG, Mengel JG, Hines CO, Chan KL and Arnold NF (1997) Modeling the seasonal cycles and equatorial oscillations with a parameterization of the Doppler spread gravity wave theory. This volume.
McLandress C (1997) Sensitivity studies using the Hines and Fritts gravity wave drag parameterizations. This volume.
Mengel JG, Mayr HG, Chan KL, Hines CO, Reddy CA, Arnold NF and Porter HS (1995) Equatorial oscillations in the middle atmosphere generated by small scale gravity waves.Geophys. Res. Lett., 22, 3027–3030.
Smith SA, Fritts DC and VanZandt TE (1987) Evidence for a saturated spectrum of atmospheric gravity waves.J. Atmos. Sci., 44, 1404–1410.
Weinstock J (1990) Saturated and unsaturated spectra of gravity waves, and scale dependent diffusion.J. Atmos. Sci., 47, 2211–2225.
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© 1997 Springer-Verlag Berlin Heidelberg
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Hines, C.O. (1997). Nonlinearity of the saturation spectrum. In: Hamilton, K. (eds) Gravity Wave Processes. NATO ASI Series, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60654-0_16
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DOI: https://doi.org/10.1007/978-3-642-60654-0_16
Publisher Name: Springer, Berlin, Heidelberg
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