Abstract
The physical nature of motions with scales intermediate between approximately isotropic turbulence and quasi-linear internal gravity waves is not understood at the present time. Such motions play an important role in the energetics of small scales processes, both in the ocean and in the atmosphere, and in vertical transport of heat and constituents. This scale range is currently interpreted either as a saturated gravity waves field or as a buoyancy range of turbulence.
We first discuss some distinctive predictions of the classical (Lumley, Phillips) buoyancy range theory, recently improved (Weinstock, Dalaudier and Sidi) to describe potential energy associated with temperature fluctuations. This theory predicts the existence of a spectral gap in the temperature spectra and of an upward mass flux (downward buoyancy and heat fluxes), strongly increasing towards large scales. These predictions are contrasted with an alternate theory, assuming “energetically insignificant” buoyancy flux, proposed by Holloway.
Then we present experimental evidences of such characteristic features obtained in the lower stratosphere with an instrumented balloon. Spectra of temperature, vertical velocity, and cospectra of both, obtained in homogeneous, weakly turbulent regions, are compared with theoretical predictions. These results are strongly consistent with the improved classical buoyancy range theory and support the existence of a significant downward heat flux in the buoyancy range.
The theoretical implications of the understanding of this scale range are discussed. Many experimental evidences consistently show the need for an anisotropic theory of the buoyancy range of turbulence.
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References
Barat, J. (1982), A high resolution ionic anemometer for boundary layer measurements, J. Appl. Meteor. 21, 1480–1488.
Barat, J. (1983), The fine structure of the stratospheric flow revealed by differential sounding, J. Geophys. Res. 88, 5219–5228.
Barat, J., and F. Bertin (1984), On the contamination of stratospheric turbulence measurements by wind shear, J. Atmos Sci. 41, 819–827.
Barat, J., C. Cot, and C. Sidi (1984), On the measurement of the turbulent dissipation rate from rising balloons, J. Atmos. Ocean. Tech. 1, 270–275.
Bolgiano, R. (1959), Turbulent spectra in a stably stratified atmosphere, J. Geophys. Res. 64, 2226–2229.
Dalaudier, F., J. Barat, F. Bertin, E. Brun, M. Crochet, and F. Cuq (1985), Comparison between S.T. radar and in situ balloon measurements, 7th ESA symposium on European rocket and balloon programs and related research, SP-229, 247–251.
Dalaudier, F., and C. Sidi (1987), Evidence and interpretation of a spectral gap in the turbulent atmospheric temperature spectra, J. Atmos. Sci. 44, 3121–3126.
Dewan, E. M., N. Grossbard, A. F. Quesada, and R. E. Good (1984), Spectral analysis of 10m resolution scalar velocity profiles in the stratosphere, Geophys. Res. Lett. 11, 80–83. (correction in Geophys. Res. Lett. 11, 624, 1984).
Dewan, E. M., and R. E. Good (1986), Saturation and the “universal” spectrum for vertical profiles of horizontal scalar winds in the atmosphere, J. Geophys. Res. 91, 2742–2748.
Fritts, D. C. (1984), Gravity waves saturation in the middle atmosphere: A review of theory and observations, Rev. Geophys. Space Phys. 22, 275–308.
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 Science 20, 1247–1277.
Gargett, A. E., P. J. Hendricks, T. B. Sanford, T. R. Osborn, and A. J. Williams III (1981), A composite spectrum of vertical shear in the upper ocean, J. Phys. Ocean. 11, 1258–1271.
Gargett, A. E. (1985), Evolution of scalar spectra with the decay of turbulence in a stratified fluid, J. Fluid Mech. 159, 379–407.
Gossard, E. E., and A. S. Frisch (1987), Relationship of the variance of temperature and velocity to atmospheric static stability—Application to radar and accoustic sounding, J. Clim. Appl. Meteor. 26, 1021–1036.
Gregg, M. C. (1977), Variation in the intensity of small-scale mixing in the main thermocline, J. Phys. Ocean. 7, 436–454.
Harris, F. J. (1978), On the use of windows for harmonic analysis with the discrete Fourier transform, Proceed, of the I.E.E.E. 66, 51–83.
Holloway, G. (1979), On the spectral evolution of strongly interacting waves, Geophys. Astrophys. Fluid Dyn. 11, 271–287.
Holloway, G. (1983), A conjecture relating oceanic internal waves and small-scale processes, Atmos. Ocean. 21, 107–122.
Holloway, G. (1986), Considerations on the theory of temperature spectra in stably stratified fluids, J. Phys. Ocean. 16, 2179–2183.
Lumley, J. L. (1964), The spectrum of nearly inertial turbulence in a stably stratified fluid, J. Atmos. Sci. 21, 99–102.
Lumley, J. L. (1965), Theoretical aspects of research on turbulence in stratified flows, in Atmospheric Turbulence and Radio Waves Propagation (eds. A. M. Yaglom and V. I. Tatarsky) (Nauka, Moscow 1967) pp. 105–109.
Monin, A. S., and A. M. Yaglom (1975), Statistical Fluid Mechanics: Mechanics of Turbulence (MIT Press, vol 2, 1975).
Phillips, O. M. (1965), On the Bolgiano and Lumley-Shur theories of the buoyancy subrange, in Atmospheric Turbulence and Radio Waves Propagation (eds. A. M. Yaglom and V. I. Tatarsky) (Nauka, Moscow 1967) pp. 121–128.
Shur, G. N. (1962), Experimental investigations of the energy spectrum of atmospheric turbulence, Trudy 43, 79–90. [trans. A.I.D. report T-63–55, Aerospace Information Division, Library of Congress].
Smith, S. A., D. C. Fritts, and T. E. VanZandt (1987), Evidence for a saturated spectrum of atmospheric gravity waves, J. Atmos. Sci. 44, 1404–1410.
Weinstock, J. (1985a), On the theory of temperature spectra in a stably stratified fluid, J. Physical. Oceanog. 15, 475–477.
Weinstock, J. (1985b), Theoretical gravity wave spectrum: Strong and weak wave interactions, Radio Science 20, 1295–1300.
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Sidi, C., Dalaudier, F. (1989). Temperature and Heat Flux Spectra in the Turbulent Buoyancy Subrange. In: Plumb, R.A., Vincent, R.A. (eds) Middle Atmosphere. Pageoph Topical Volumes. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5825-0_24
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DOI: https://doi.org/10.1007/978-3-0348-5825-0_24
Publisher Name: Birkhäuser, Basel
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