Energy spectrum in the enstrophy transfer range of two-dimensional forced turbulence

T. Ishihara; Y. Kaneda

doi:10.1063/1.1336149

Energy spectrum in the enstrophy transfer range of two-dimensional forced turbulence

T. Ishihara, Y. Kaneda

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

5 Citations (Scopus)

Abstract

Numerical simulations of two-dimensional forced turbulence suggest that the enstrophy transfer range energy spectrum E(k) a little steeper than k^-3 is robust in the sense that it may be realized in a wave number range under different run conditions. It is shown that such energy spectra fit well E(k) = C_kη²/³k^-3 [ln(k/k₁)]^-1/³, where C_k is a dimensionless constant, η the enstrophy transfer rate per unit mass and k₁ a wave number at the bottom of the range. The simulations give C_k ≈ 1.9 in fairly good agreement with the existing theoretical estimates.

Original language	English
Pages (from-to)	544-547
Number of pages	4
Journal	Physics of Fluids
Volume	13
Issue number	2
DOIs	https://doi.org/10.1063/1.1336149
Publication status	Published - 2001
Externally published	Yes

ASJC Scopus subject areas

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

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10.1063/1.1336149

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AB - Numerical simulations of two-dimensional forced turbulence suggest that the enstrophy transfer range energy spectrum E(k) a little steeper than k-3 is robust in the sense that it may be realized in a wave number range under different run conditions. It is shown that such energy spectra fit well E(k) = Ckη2/3k-3 [ln(k/k1)]-1/3, where Ck is a dimensionless constant, η the enstrophy transfer rate per unit mass and k1 a wave number at the bottom of the range. The simulations give Ck ≈ 1.9 in fairly good agreement with the existing theoretical estimates.

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Energy spectrum in the enstrophy transfer range of two-dimensional forced turbulence

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ASJC Scopus subject areas

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