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Transient energy growth for the Lamb-Oseen vortex

Antkowiak, Arnaud and Brancher, Pierre Transient energy growth for the Lamb-Oseen vortex. (2004) Physics of Fluids, 16 (1). L1-L4. ISSN 1070-6631

(Document in English)

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Official URL: http://dx.doi.org/10.1063/1.1626123


The transient evolution of infinitesimal flow disturbances whichoptimally induce algebraic growth in the Lamb-Oseen (gaussian) vortex is studied using a direct-adjoint technique. This optimal perturbation analysis reveals that the Lamb-Oseen vortex allows for intense amplification of kinetic energy for 2D and 3D perturbations of azimuthal wavenumber $m = 1$. In both cases, the disturbances experiencing the most growth initially take the form of concentrated spirals at the outer periphery of the vortex which rapidly excite bending waves within the vortex core. In the limit of large wavelengths, the optimal perturbation leads to arbitrary large growths via an original scenario combining the Orr mechanism with vortex induction.

Item Type:Article
Additional Information:Thanks to American Institute of Physics editor. The original PDF of the article can be found at https://aip.scitation.org/doi/10.1063/1.1626123
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:09 Mar 2018 08:41

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