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Linear Baroclinic instability with the Geostrophic Momentum Approximation
Publisher: American Meteorological Society
Abstract: The linear Eady model of baroclinic instability with the geostrophic momentum (GM) approximation is solved analytically in physical space and shown to be identical to linear three-dimensional semigeostrophic theory. Both ...
Rotating Stratified Flow over a Mountain Ridge as an Initial Value Problem
Publisher: American Meteorological Society
Abstract: Solutions for steady inviscid quasi- and semi-geostrophic flow over a mountain ridge on the f-plane are degenerate in the sense that an arbitrary constant mountain-parallel flow can be added to the solution. It is shown ...
Aspects of a Rotating Shear Flow over a Mountain Ridge
Publisher: American Meteorological Society
Abstract: The effect of a vertical incident wind shear on rotating airflow over a mountain ridge is discussed physically from a variety of perspectives. The apparent paradox that the shear reduces both the vertical displacement of ...
A Model of Rocky Mountain Lee Cyclogenesis
Publisher: American Meteorological Society
Abstract: A quasi-geostrophic model of cyclogenesis in the lee of the Rocky Mountains treats the cyclogenesis as a forecasting problem and uses an initial value approach. The model consists of the interaction of a growing baroclinic ...
On Deep Quasi-geostrophic Theory
Publisher: American Meteorological Society
Abstract: Deep quasi-geostrophic theory applies to large-scale flow whose vertical depth scale is comparable to the potential temperature scale height. The appropriate expression for the potential vorticity equation is derived from ...
Hydrostatic Adjustment: Lamb's Problem
Publisher: American Meteorological Society
Abstract: The prototype problem of hydrostatic adjustment for large-scale atmospheric motions is Presented. When a horizontally infinite layer of compressible fluid, initially at rest, is instantaneously heated, the fluid is no ...
On the Anelastic Approximation for a Compressible Atmosphere
Publisher: American Meteorological Society
Abstract: The equations of motion for a compressible atmosphere under the influence of gravity are reexamined to determine the necessary conditions for which the anelastic approximation holds. These conditions are that (i) the ...
Nonlinear Hydrostatic Adjustment
Publisher: American Meteorological Society
Abstract: The final equilibrium state of Lamb's hydrostatic adjustment problem is found for finite amplitude heating. Lamb's problem consists of the response of a compressible atmosphere to an instantaneous, horizontally homogeneous ...
Atmospheric Available Energy
Publisher: American Meteorological Society
Abstract: he total potential energy of the atmosphere is the sum of its internal and gravitational energies. The portion of this total energy available to be converted into kinetic energy is determined relative to an isothermal, ...