Consistent balanced models in bounded and periodic domains

Gent, Peter R.; McWilliams, James C.

doi:10.1016/0377-0265(83)90011-8

Cited by 62 publications

(40 citation statements)

References 22 publications

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“…This can be understood from the point of view of the thermal wind, but the theory of potential vorticity inversion (Gent and McWilliams 1983, Hoskins et al 1985, Thorpe 1985, Davis 1992, Raymond 1992, 1994) yields a more compact way of looking at this phenomenon.…”

Section: Thermodynamic Response To Vorticity Distributionmentioning

confidence: 99%

Tropical cyclogenesis and mid-level vorticity

Raymond¹,

Sessions²

2014

AMOJ

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Section: Thermodynamic Response To Vorticity Distributionmentioning

confidence: 99%

Tropical cyclogenesis and mid-level vorticity

Raymond¹,

Sessions²

2014

AMOJ

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“…The initial conditions in a time integration of a balance system need only be specified by a single variable (Gent and McWilliams 1983). A familiar example is a flow satisfying the quasigeostrophic system.…”

Section: Observational and Dynamical Motivation A Balanced Flow Pvmentioning

confidence: 99%

Using Tropopause Maps to Diagnose Midlatitude Weather Systems

Morgan¹,

1998

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The use of potential vorticity (PV) allows the efficient description of the dynamics of nearly balanced atmospheric flow phenomena, but the distribution of PV must be simply represented for ease in interpretation. Representations of PV on isentropic or isobaric surfaces can be cumbersome, as analyses of several surfaces spanning the troposphere must be constructed to fully apprehend the complete PV distribution.Following a brief review of the relationship between PV and nearly balanced flows, it is demonstrated that the tropospheric PV has a simple distribution, and as a consequence, an analysis of potential temperature along the dynamic tropopause (here defined as a surface of constant PV) allows for a simple representation of the upper-tropospheric and lower-stratospheric PV. The construction and interpretation of these tropopause maps, which may be termed ''isertelic'' analyses of potential temperature, are described. In addition, techniques to construct dynamical representations of the lower-tropospheric PV and near-surface potential temperature, which complement these isertelic analyses, are also suggested. Case studies are presented to illustrate the utility of these techniques in diagnosing phenomena such as cyclogenesis, tropopause folds, the formation of an upper trough, and the effects of latent heat release on the upper and lower troposphere.

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“…Note that this model is closer to the BE model of Gent and McWilliams (1983b) with f set to βy than to their βBE model, the difference being that f is not set to a constant reference value where it is not differentiated.…”

Section: Extended Modelmentioning

confidence: 97%

“…Unfortunately, the approximations made in nonlinear balance models keep them from being precisely consistent with the standard momentum equation of fluid dynamics. However, Gent and McWilliams (1983b) showed that the Lorenz (1960) model is consistent with a modified horizontal momentum equation, which may be written…”

Section: Proposed Solutionsmentioning

confidence: 99%

Nonlinear balance on an equatorial beta plane

Raymond

1994

Quart J Royal Meteoro Soc

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SummaryExtension of the nonlinear balance model to include the equator is examined here from a theoretical perspective. It is found that this model is ill-posed, in that zonally symmetric equatorial Kelvin waves of arbitrary amplitude can occur. Two possible solutions are outlined. The zonally averaged zonal momentum equation provides auxiliary information that can be imposed on the flow. This equation can be solved simultaneously with the other parts of the problem. Alternatively, when small, isolated disturbances can be assumed to have negligible effect on the mean flow, one can simply assume that zonal means remain unchanged.

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Consistent balanced models in bounded and periodic domains

Cited by 62 publications

References 22 publications

Tropical cyclogenesis and mid-level vorticity

Tropical cyclogenesis and mid-level vorticity

Using Tropopause Maps to Diagnose Midlatitude Weather Systems

Nonlinear balance on an equatorial beta plane

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