Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence

Peter Constatin; Ciprian Foias; Oscar P. Manley

doi:10.1063/1.868042

Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence

Peter Constatin, Ciprian Foias, Oscar P. Manley

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32 Scopus citations

Abstract

The response of the two-dimensional velocity field to a single eigenmode driving a fluid flow is analyzed. It is shown that independent of its amplitude such a driving force cannot lead to Kraichnan's inertial range spectrum. At least a pair of eigenmodes, one acting as a power source, and the other as a power sink, is necessary to obtain a separation of length scales and an accompanying statistically steady inertial spectral range.

Original language	English (US)
Pages (from-to)	427-429
Number of pages	3
Journal	Physics of Fluids
Volume	6
Issue number	1
DOIs	https://doi.org/10.1063/1.868042
State	Published - 1994
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.868042

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abstract = "The response of the two-dimensional velocity field to a single eigenmode driving a fluid flow is analyzed. It is shown that independent of its amplitude such a driving force cannot lead to Kraichnan's inertial range spectrum. At least a pair of eigenmodes, one acting as a power source, and the other as a power sink, is necessary to obtain a separation of length scales and an accompanying statistically steady inertial spectral range.",

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AB - The response of the two-dimensional velocity field to a single eigenmode driving a fluid flow is analyzed. It is shown that independent of its amplitude such a driving force cannot lead to Kraichnan's inertial range spectrum. At least a pair of eigenmodes, one acting as a power source, and the other as a power sink, is necessary to obtain a separation of length scales and an accompanying statistically steady inertial spectral range.

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Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence

Abstract

All Science Journal Classification (ASJC) codes

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