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

Research output: Contribution to journal › Article › peer-review

33 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

Access to Document

10.1063/1.868042

Cite this

@article{0ecb029721b74ea3b0a7288da6228d9d,

title = "Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence",

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.",

author = "Peter Constatin and Ciprian Foias and Manley, \{Oscar P.\}",

year = "1994",

doi = "10.1063/1.868042",

language = "English (US)",

volume = "6",

pages = "427--429",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics",

number = "1",

}

TY - JOUR

T1 - Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence

AU - Constatin, Peter

AU - Foias, Ciprian

AU - Manley, Oscar P.

PY - 1994

Y1 - 1994

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0000073888

UR - https://www.scopus.com/inward/citedby.url?scp=0000073888&partnerID=8YFLogxK

U2 - 10.1063/1.868042

DO - 10.1063/1.868042

M3 - Article

AN - SCOPUS:0000073888

SN - 1070-6631

VL - 6

SP - 427

EP - 429

JO - Physics of Fluids

JF - Physics of Fluids

IS - 1

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this