Generalized stability analyses of asymmetric disturbances in one- and two-celled vortices maintained by radial inflow

David S. Nolan; Brian F. Farrell

doi:10.1175/1520-0469(1999)056<1282:GSAOAD>2.0.CO;2

Generalized stability analyses of asymmetric disturbances in one- and two-celled vortices maintained by radial inflow

David S. Nolan, Brian F. Farrell

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

The dynamics of asymmetric perturbations in two-dimensional vortices that are maintained by radial inflow were studied. Using the generalized stability analysis, the growth of both transient and exponentially growing perturbations on the mean flow was examined. The interaction of these perturbations with the mean flow and the effects of radial inflow on the dynamics was explored. The results regarding stability showed excellent agreement with previous work on vortices of various velocity profiles. It was also found that the initial conditions that lead to the greatest perturbation energy for long times are not the most unstable modes but rather the most unstable modes of the adjoining operator.

Original language	English (US)
Pages (from-to)	1282-1307
Number of pages	26
Journal	Journal of the Atmospheric Sciences
Volume	56
Issue number	10
DOIs	https://doi.org/10.1175/1520-0469(1999)056<1282:GSAOAD>2.0.CO;2
State	Published - May 15 1999
Externally published	Yes

ASJC Scopus subject areas

Atmospheric Science

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AU - Nolan, David S.

AU - Farrell, Brian F.

PY - 1999/5/15

Y1 - 1999/5/15

N2 - The dynamics of asymmetric perturbations in two-dimensional vortices that are maintained by radial inflow were studied. Using the generalized stability analysis, the growth of both transient and exponentially growing perturbations on the mean flow was examined. The interaction of these perturbations with the mean flow and the effects of radial inflow on the dynamics was explored. The results regarding stability showed excellent agreement with previous work on vortices of various velocity profiles. It was also found that the initial conditions that lead to the greatest perturbation energy for long times are not the most unstable modes but rather the most unstable modes of the adjoining operator.

AB - The dynamics of asymmetric perturbations in two-dimensional vortices that are maintained by radial inflow were studied. Using the generalized stability analysis, the growth of both transient and exponentially growing perturbations on the mean flow was examined. The interaction of these perturbations with the mean flow and the effects of radial inflow on the dynamics was explored. The results regarding stability showed excellent agreement with previous work on vortices of various velocity profiles. It was also found that the initial conditions that lead to the greatest perturbation energy for long times are not the most unstable modes but rather the most unstable modes of the adjoining operator.

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Generalized stability analyses of asymmetric disturbances in one- and two-celled vortices maintained by radial inflow

Abstract

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