Generalized Stability of Nongeostrophic Baroclinic Shear Flow. Part II: Intermediate Richardson Number Regime
نویسندگان
چکیده
منابع مشابه
Generalized Stability of Nongeostrophic Baroclinic Shear Flow. Part II: Intermediate Richardson Number Regime
This work continues the generalized stability theory (GST) analysis of baroclinic shear flow in the primitive equations (PE), focusing on the regime in which the mean baroclinic shear and the stratification are of the same order. The Eady model basic state is used and solutions obtained using the PE are compared to quasigeostrophic (QG) solutions. Similar optimal growth is obtained in the PE an...
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A generalized stability theory (GST) analysis of baroclinic shear flow is performed using primitive equations (PEs), and typical synoptic-scale midlatitudinal values of vertical shear and stratification. GST is a comprehensive linear stability theory that subsumes modal stability theory and extends it to account for nonmodal interactions such as may occur among the approximately geostrophically...
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An extension of classical stability theory to address the stability of perturbations to time-dependent systems is described. Nonnonnality is found to play a central role in determining the stability of systems �ovemed by nonautonomous operators associated with time-dependent systems. This pivotal role of nonnonnahty provIdes a conceptual bridge by which the generalized stability theory develope...
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The notion of over-reflection has been used to rationalize the linear instability of shear flows that are directed and sheared in a horizontal plane but stratified and subject to rotation in the vertical. In the linear stability analysis of these types of flows, two types of critical levels may appear that translate to singular points in the corresponding differential eigenvalue problem. The fi...
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The stability of idealized shear flow at long wavelengths is studied in detail. A hydrodynamic analysis at the level of the Navier-Stokes equation for small shear rates is given to identify the origin and universality of an instability at any finite shear rate for sufficiently long wavelength perturbations. The
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ژورنال
عنوان ژورنال: Journal of the Atmospheric Sciences
سال: 2007
ISSN: 1520-0469,0022-4928
DOI: 10.1175/2007jas2225.1