Inviscid disturbance dynamics in barotropic shear flows
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Abstract
The inviscid nature of disturbance evolution in shear flows is investigated as an initial-value problem within the framework of nondivergent vorticity dynamics. To ensure a basic understanding of physical processes, disturbance evolution is first considered in a rectilinear system of simple shear. Particular emphasis is placed on identifying how the disturbance evolution depends on the zonal wavenumber and on the meridional structure of the initial conditions. Insight acquired from the rectilinear problem is then applied to a bounded Rankine vortex. Here, the dependency of disturbance evolution ...
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