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- W82294835 abstract "The role of non-normality in the overreflection of gravity waves is investigated. In the limit of weak stratification, wave packets having a critical level inside a shear layer of finite depth are reflected with amplified energy. This process, which exhibits the characteristics of stimulated emission, occurs in three stages: first the incoming wave enters the shear layer and excites non-propagating perturbations leaning towards and against the shear. Subsequently, the energy of perturbations leaning against the shear grows in a manner similar to energy growth of perturbations in constant shear flows, indicating that the Orr mechanism that is slightly modified by stratification underlies the observed growth. Finally, the amplified perturbations excite propagating waves originating from the vicinity of the shear layer boundary. The role of non-normality in this process is also investigated from the perspective of the associated nonorthogonality of the modes of the dynamical system. It is found that the incident wave packet projects on non-orthogonal analytic modes having the structure of a downward propagating wave in the far field below the shear layer and overreflection results from the interaction among these non-orthogonal modes." @default.
- W82294835 created "2016-06-24" @default.
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- W82294835 date "2010-01-01" @default.
- W82294835 modified "2023-09-23" @default.
- W82294835 title "The role of non-normality in overreflection theory" @default.
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