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Saturated and Unsaturated Spectra of Gravity Waves and Scale-Dependent Diffusion
Publisher: American Meteorological Society
Abstract: For a highly idealized condition, the spectrum of saturated and unsaturated gravity waves at each height is calculated directly from the wave equation. A principal feature of this wave equation is the inclusion of wave ...
Energy Dissipation Rates of Turbulence in the Stable Free Atmosphere
Publisher: American Meteorological Society
Abstract: For stable stratification, it is pointed out that there exists a strong correlation between the intensity of atmospheric turbulence and the energy dissipation rate ?. It is given in terms of the variance of vertical velocity ...
A Theory of Gaps in the Turbulence Spectra of Stably Stratified Shear Flows
Publisher: American Meteorological Society
Abstract: A gap and adjacent bump is predicted to occur in the velocity spectrum of stratified shear flows when the flux Richardson number Rf, ?1/2. This prediction is based on a straightforward solution of the spectral energy balance ...
Finite Amplitude Gravity Waves: Harmonics, Advective Steepening and Saturation
Publisher: American Meteorological Society
Abstract: Steepening, harmonics generation, and saturation of a finite amplitude gravity wave are calculated in an approximate fashion by means of a new and elementary approach. The mechanism for these phenomena is nonlinear advection. ...
Nonlinear Theory of Gravity Waves: Momentum Deposition, Generalized Rayleigh Friction, and Diffusion
Publisher: American Meteorological Society
Abstract: A nonlinear theory of internal gravity waves is extended to slowly varying mean winds u0. This theory determines the wave amplitudes, enhanced diffusion and momentum deposition, for a broad spectrum of waves as well as for ...
On the Theory of Temperature Spectra in a Stably Stratified Fluid
Publisher: American Meteorological Society
Abstract: It is shown that the Lumley-Phillips buoyancy subrange theory predicts the temperature spectrum to be proportional to k?3 at small scalar wavenumbers k?-consistent with oceanic experiments (although those experiments measure ...
Vertical Turbulent Diffusion in a Stably Stratified Fluid
Publisher: American Meteorological Society
Abstract: The vertical turbulent diffusion coefficient in a stably stratified fluid is derived analytically. This derivation does not require that the flux Richardson number be known or specified. The resulting expression for the ...
On the Theory of Turbulence in the Buoyancy Subrange of Stably Stratified Flows
Publisher: American Meteorological Society
Abstract: A theoretical investigation is made of turbulence in the buoyancy subrange of stably stratified sheer flows. This theory is based on a new calculation of the buoyancy flux spectrum B (k). In the Lumley-Shur theory, it was ...
Superadiabatic Excess and Gravity Wave Saturation
Publisher: American Meteorological Society
Abstract: Attention is called to a recent calculation of the superadiabatic excess?the ratio of wave amplitude at saturation to wave amplitude at convective instability threshold?caused by a saturated gravity wave. (This excess is ...
The Stokes Drift due to Vertically Propagating Internal Gravity Waves in a Compressible Atmosphere
Publisher: American Meteorological Society
Abstract: Vertically propagating, compressible, internal gravity waves are shown to have a vertical Stokes drift which is proportional to the vertical wave energy flux. In regions of the atmosphere dominated by upward propagating ...