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A Relationship between Energy and Angular Momentum Conservation in Dynamical Models
Publisher: American Meteorological Society
Abstract: In Newtonian particle dynamics the covariance of the kinetic energy equation to transformation between different inertial frames may he demonstrated only if the correct momentum equation is applied. A similar relation ...
A Note on the Energetics of Certain Zonal Average Models
Publisher: American Meteorological Society
Abstract: Several published models of the zonal average circulation on a sphere have not defined geostrophic equilibrium of the zonal flow in an energetically consistent way. The effect of the inconsistency is expected to be small, ...
Zonal Translation Properties of Two Quasi-Geostrophic Systems of Equations
Publisher: American Meteorological Society
Abstract: The behavior of two quasi-geostrophic, ?-plane formulations under two translation operations is considered. The translation operations are zonal coordinate translation, in which the coordinate frame is translated zonally ...
A Note on the Horizontal Boundary Condition in Quasi-Geostrophic Models
Publisher: American Meteorological Society
Abstract: Attention is given to the extra term appearing in the quasi-geostrophic horizontal boundary condition when it is required that the vertical velocity (?), rather than the material derivative of pressure (?), be zero on a ...
The Stability of Internal Baroclinic Jets: Some Analytical Results
Publisher: American Meteorological Society
Abstract: The stability of internal baroclinic jets to quasi-geostrophic, normal mode perturbations is studied. Some important aspects are clarified by considering a jet which consists of a baroclinic layer sandwiched between two ...
Spurious Stability and instability in N-Level Quasi-geostrophic Models
Publisher: American Meteorological Society
Abstract: Eady's and Green's baroclinic instability problems are examined in N-level models with 2 ? N ? 180. As N is increased, both the maximum growth rate and the wavelength at which it occurs converge monotonically, without the ...
Quasigeostrophic Potential Vorticity in Isentropic Coordinates
Publisher: American Meteorological Society
Abstract: An isentropic coordinate form of quasigeostrophic potential vorticity is derived. Compared with well-known height and pressure coordinate versions, this isentropic form is more clearly related to Ertel's potential vorticity ...
Geostrophic Scatter Diagrams and Potential Vorticity Dynamics
Publisher: American Meteorological Society
Abstract: A scatter diagram may be constructed by choosing an appropriate closed or open horizontal curve in physical space and plotting the value of any scalr quantity q against the geostrophic streamfunction ? for each data point ...
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