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A Note on Measures of Disturbance Size for Spatially Evolving Flows
Book chapter

A Note on Measures of Disturbance Size for Spatially Evolving Flows

Dan S. Henningson and Peter J. Schmid
Transition, Turbulence and Combustion, pp.281-286
ICASE/LaRC Interdisciplinary Series in Science and Engineering, Springer Netherlands
DOI: https://doi.org/10.1007/978-94-011-1032-7_27

Abstract

Fourier Component Secondary Instability Temporal Case Transfer Term Velocity Derivative
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. The issue of describing the transfer of “energy” between different Fourier components by the nonlinear terms is addressed, and suggestions for an appropriate disturbance measure are offered.

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