A note on measures of disturbance size for spatially evolving flows

Dan S. Henningson; Peter J. Schmid

doi:10.1063/1.868109

A note on measures of disturbance size for spatially evolving flows

Dan S. Henningson, Peter J. Schmid

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5 Scopus citations

Abstract

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. © 1994 American Institute of Physics.

Original language	English (US)
Pages (from-to)	2862-2864
Number of pages	3
Journal	Physics of Fluids
Volume	6
Issue number	8
DOIs	https://doi.org/10.1063/1.868109
State	Published - Jan 1 1994
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2022-09-13

ASJC Scopus subject areas

Condensed Matter Physics

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abstract = "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. {\textcopyright} 1994 American Institute of Physics.",

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N2 - 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. © 1994 American Institute of Physics.

AB - 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. © 1994 American Institute of Physics.

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ER -

A note on measures of disturbance size for spatially evolving flows

Abstract

Bibliographical note

ASJC Scopus subject areas

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