Inverse cascade and energy transfer in forced low-Reynolds number two-dimensional turbulence

J. Lega; T. Passot

doi:10.1016/j.fluiddyn.2004.02.002

Inverse cascade and energy transfer in forced low-Reynolds number two-dimensional turbulence

J. Lega, T. Passot

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

1 Scopus citations

Abstract

Using numerical simulations of the forced two-dimensional Navier-Stokes equation, it is shown that the amount of energy transferred to large scales is related to the Reynolds number in a unique fashion. It is also observed that the critical value of the initial Reynolds number for the onset of an inverse cascade is lowered as the scale of the forcing approaches the size of the system, or in the presence of anisotropy. This study is motivated by recent experiments with bacterial colonies, and their description in terms of a hydrodynamic model.

Original language	English (US)
Pages (from-to)	289-297
Number of pages	9
Journal	Fluid Dynamics Research
Volume	34
Issue number	5
DOIs	https://doi.org/10.1016/j.fluiddyn.2004.02.002
State	Published - May 2004

Keywords

Biological flows
Inverse cascade
Two-dimensional turbulence

ASJC Scopus subject areas

Mechanical Engineering
General Physics and Astronomy
Fluid Flow and Transfer Processes

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10.1016/j.fluiddyn.2004.02.002

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title = "Inverse cascade and energy transfer in forced low-Reynolds number two-dimensional turbulence",

abstract = "Using numerical simulations of the forced two-dimensional Navier-Stokes equation, it is shown that the amount of energy transferred to large scales is related to the Reynolds number in a unique fashion. It is also observed that the critical value of the initial Reynolds number for the onset of an inverse cascade is lowered as the scale of the forcing approaches the size of the system, or in the presence of anisotropy. This study is motivated by recent experiments with bacterial colonies, and their description in terms of a hydrodynamic model.",

keywords = "Biological flows, Inverse cascade, Two-dimensional turbulence",

author = "J. Lega and T. Passot",

note = "Funding Information: This material is based upon work supported by the National Science Foundation under Grants No. 9909866 and 0075827 to J.L. and by CNRS (Centre National de la Recherche Scientifique)/NSF Grant No. 9166 to T.P. ",

year = "2004",

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T1 - Inverse cascade and energy transfer in forced low-Reynolds number two-dimensional turbulence

AU - Lega, J.

AU - Passot, T.

N1 - Funding Information: This material is based upon work supported by the National Science Foundation under Grants No. 9909866 and 0075827 to J.L. and by CNRS (Centre National de la Recherche Scientifique)/NSF Grant No. 9166 to T.P.

PY - 2004/5

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N2 - Using numerical simulations of the forced two-dimensional Navier-Stokes equation, it is shown that the amount of energy transferred to large scales is related to the Reynolds number in a unique fashion. It is also observed that the critical value of the initial Reynolds number for the onset of an inverse cascade is lowered as the scale of the forcing approaches the size of the system, or in the presence of anisotropy. This study is motivated by recent experiments with bacterial colonies, and their description in terms of a hydrodynamic model.

AB - Using numerical simulations of the forced two-dimensional Navier-Stokes equation, it is shown that the amount of energy transferred to large scales is related to the Reynolds number in a unique fashion. It is also observed that the critical value of the initial Reynolds number for the onset of an inverse cascade is lowered as the scale of the forcing approaches the size of the system, or in the presence of anisotropy. This study is motivated by recent experiments with bacterial colonies, and their description in terms of a hydrodynamic model.

KW - Biological flows

KW - Inverse cascade

KW - Two-dimensional turbulence

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M3 - Article

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VL - 34

SP - 289

EP - 297

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

IS - 5

ER -

Inverse cascade and energy transfer in forced low-Reynolds number two-dimensional turbulence

Abstract

Keywords

ASJC Scopus subject areas

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