An Upper Bound on the Growth Rate of a Linear Instability in a Homogeneous Shear Flow
作者:
Fred J. Hickernell,
期刊:
Studies in Applied Mathematics
(WILEY Available online 1985)
卷期:
Volume 72,
issue 1
页码: 87-93
ISSN:0022-2526
年代: 1985
DOI:10.1002/sapm198572187
数据来源: WILEY
摘要:
Temporally growing modes of the linearized equations of motion for homogeneous shear flows in the beta‐plane are considered. A new upper bound on their rate of growth is derived. This bound is related to the necessary criterion for linear instability derived by Fjørtoft [1]. As a flow stabilizes due to increased beta‐effect or decreased basic‐state vorticity gradient, the upper bound on the growth rate decreases to zero. For more stable flows this newly derived bound is tighter than that derived by Høil
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