A note on measures of disturbance size for spatially evolving flows
作者:
Dan S. Henningson,
Peter J. Schmid,
期刊:
Physics of Fluids
(AIP Available online 1994)
卷期:
Volume 6,
issue 8
页码: 2862-2864
ISSN:1070-6631
年代: 1994
DOI:10.1063/1.868109
出版商: AIP
数据来源: AIP
摘要:
The problem of defining a proper measure for the size of disturbances that evolve spatially is assessed. A model problem serves as a demonstration that the disturbance energy, which is almost exclusively used in a temporal setting, is generally not sufficient as a measure of the disturbance size in the spatial case. It is shown that the specific form of the ‘‘energy’’ transferred between Fourier components in the spatial case is not unique, but rather depends on the formulation of the spatial evolution problem. In addition to the model problem, suggestions on how to evaluate spatial ‘‘energy’’ transfer in the Navier–Stokes equations are presented.
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