An efficient method for investigating the flow evolution in shear layers
作者:
Y. Chang,
A. Barcilon,
S. Blumsack,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1994)
卷期:
Volume 76,
issue 1-4
页码: 73-93
ISSN:0309-1929
年代: 1994
DOI:10.1080/03091929408203660
出版商: Taylor & Francis Group
关键词: Vortex merging;shear layer;barotropic instability;flow transitions
数据来源: Taylor
摘要:
This paper uses the ‘natural’ method proposed by Valliset al.(1989) to determine stable flow configurations and investigates the inviscid dynamics of the barotropic shear-layer with a hyperbolic tangent velocity profile in a channel. The ‘modified’ dynamics provides a simplified picture of the flow transitions not marred by small scale vorticity oscillations found in the ‘actual’ dynamics. The transitions to quasi-steady or steady-states are characterized in physical space by vortex pairing and the final stable state is a single vortex occupying the entire channel length if the initial conditions allow an even wavenumber to dominate. Otherwise, when an odd wavenumber grows, the final state is constrained by higher order vorticity invariants and does not quite fill the channel. For initial conditions favoring even wavenumbers, single wave quasi-steady states tend to agree with nonlinear analytical predictions. The modified dynamics does well at capturing these states.
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