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- Author or Editor: Arthur J. Rosenthal x
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Abstract
We show that Kelvin-Helmholtz instabilities result from overreflected, vertically propagating, vorticity waves. Such waves exist in regions of large vorticity gradients. Just as with gravity wave instabilities, growth rates may be inferred from the quantization and overreflection of such waves. Moreover, overreflection concepts offer convenient insights into why Kelvin-Helmholtz instabilities, when they exist, tend to grow faster than gravity wave instabilities.
Abstract
We show that Kelvin-Helmholtz instabilities result from overreflected, vertically propagating, vorticity waves. Such waves exist in regions of large vorticity gradients. Just as with gravity wave instabilities, growth rates may be inferred from the quantization and overreflection of such waves. Moreover, overreflection concepts offer convenient insights into why Kelvin-Helmholtz instabilities, when they exist, tend to grow faster than gravity wave instabilities.
Abstract
A modest extension of conventional WKB methods of solving second-order differential equations asymptotically is developed and applied to the problem of baroclinic instability. Accurate results are obtained for the Charney problem using simple expressions. More important, the present expressions can be used immediately for a wide variety of basic velocity profiles.
Abstract
A modest extension of conventional WKB methods of solving second-order differential equations asymptotically is developed and applied to the problem of baroclinic instability. Accurate results are obtained for the Charney problem using simple expressions. More important, the present expressions can be used immediately for a wide variety of basic velocity profiles.
