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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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