Inviscid transient growth on horizontal shear layers with strong vertical stratification

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Abstract

We report an investigation of the three-dimensional stability of an horizontal free shear layer in an inviscid fluid with strong, vertical and constant density stratification.We compute the optimal perturbations for different optimization times and wavenumbers. The results allow comparing the potential for perturbation energy amplification of the free shear layer instability and the different mechanisms of transient growth. We quantify the internal wave energy content of the perturbations and identify different types of optimal perturbations. Intense excitation of gravity waves due to transient growth of perturbations is found in a broad region of the wavevector plane. Those gravity waves are eventually emitted away from the shear layer.

Original languageEnglish
Title of host publicationNonlinear Dynamics
Subtitle of host publicationMaterials, Theory and Experiments - Selected Lectures, 3rd Dynamics Days South America, 2014
EditorsMarcel G. Clerc, Mustapha Tlidi
PublisherSpringer Science and Business Media, LLC
Pages199-206
Number of pages8
ISBN (Print)9783319248691
DOIs
Publication statusPublished - 1 Jan 2016
Event3rd Dynamics Days South America Conference, 2014 - Valparaiso, Chile
Duration: 3 Nov 20147 Nov 2014

Publication series

NameSpringer Proceedings in Physics
Volume173
ISSN (Print)0930-8989
ISSN (Electronic)1867-4941

Conference

Conference3rd Dynamics Days South America Conference, 2014
Country/TerritoryChile
CityValparaiso
Period3/11/147/11/14

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