Abstract
The dynamic stability of a statically stable parallel shear flow is modulated by the presence of a finite amplitude wave. This can cause turbulent breakdown of the flow in the regions of reduced stability. The fluxes of momentum and heat driven by the turbulence interact with the initiating wave, and in favorable circumstances this leads to growth of the wave amplitude so that the wave-turbulence system is explosively unstable. Such interaction seems to be possible within the night-time inversion of the atmosphere.
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References
Axford, D. N.: 1968, ‘On the Accuracy of Wind Measurements Using an Inertial Platform in an Aircraft, and an Example of a Measurement of the Vertical Mesostructure of the Atmosphere’,J. Applied Met. 7, 645–66.
Chimonas, G.: 1970, ‘The Extension of the Miles-Howard Theorem to Compressible Fluids’,J. Fluid Mech. 43, 833–6.
Geiger, R.: 1966,The Climate Near the Ground, Harvard Univ. Press.
Gossard, E. E. Jensen, D. R., and Richter, J. H.: 1971, ‘An Analytical Study of Tropospheric Structure as Seen by High-Resolution Radar’,Atmospheric Sci. 28, 794–807.
Hines, C. O.: 1971, ‘Generalizations of the Richardson Criterion for the Onset of Atmospheric Turbulence’,Quart. J. Roy. Met. Soc. 97, 429–39.
Hodges, Jr., R. R.: 1967, ‘Generation of Turbulence in the Upper Atmosphere by Internal Gravity Waves’,Geophys. Res. 72, 3455–8.
Howard, L. N.: 1961, ‘Note on a Paper of John W. Miles’,J. Fluid Mech. 10, 509–12.
Menkes, J.: 1961, ‘On the Stability of a Heterogeneous Shear Layer Subject to a Body Force’,J. Fluid Mech. 11, 284–90.
Miles, J. W.: 1961, ‘On the Stability of Heterogeneous Shear Flows’,J. Fluid Mech. 10, 496–508.
Miles, J. W., and Howard, L. N.: 1964, ‘Note on a Heterogeneous Shear Flow’,J. Fluid Mech. 20, 331–6.
Munn, R. E.: 1966,Descriptive Micrometeorology, Academic Press.
Oke, T. R.: 1970, ‘Turbulent Transport Near the Ground in Stable Conditions’,J. Applied Met. 9, 778–86.
Orlanski, I., and Bryan, K.: 1969, ‘Formation of the Thermocline Step Structure by Large Amplitude Internal Gravity Waves’,J. Geophys. Res. 74, 6975–83.
Phillips, O. N.: 1966,The Dynamics of the Upper Ocean, Cambridge Univ. Press.
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National Oceanic and Atmospheric Administration/University of Colorado.
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Chimonas, G. The stability of a coupled wave-turbulence system in a parallel shear flow. Boundary-Layer Meteorol 2, 444–452 (1972). https://doi.org/10.1007/BF00821547
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DOI: https://doi.org/10.1007/BF00821547