Nonuniversal k-3 energy spectrum in stationary two-dimensional homogeneous turbulence

Yukio Kaneda; Takashi Ishihara

doi:10.1063/1.1359187

Nonuniversal k^-3 energy spectrum in stationary two-dimensional homogeneous turbulence

Yukio Kaneda, Takashi Ishihara

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

10 Citations (Scopus)

Abstract

A spectral closure analysis and numerical simulations suggest that there may be a class of two-dimensional turbulence in which the energy spectrum E(k) scales with the wave number k like E(k) = Ak^-3 in the enstrophy transfer range in accordance with the Kraichnan-Leith-Batchelor (KLB) spectrum, but the prefactor A is different from the KLB spectrum and depends in a nontrivial way on the flow conditions at large scales.

Original language	English
Pages (from-to)	1431-1439
Number of pages	9
Journal	Physics of Fluids
Volume	13
Issue number	5
DOIs	https://doi.org/10.1063/1.1359187
Publication status	Published - May 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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10.1063/1.1359187

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AB - A spectral closure analysis and numerical simulations suggest that there may be a class of two-dimensional turbulence in which the energy spectrum E(k) scales with the wave number k like E(k) = Ak-3 in the enstrophy transfer range in accordance with the Kraichnan-Leith-Batchelor (KLB) spectrum, but the prefactor A is different from the KLB spectrum and depends in a nontrivial way on the flow conditions at large scales.

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Nonuniversal k^-3 energy spectrum in stationary two-dimensional homogeneous turbulence

Abstract

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