Structural instability of two-dimensional turbulence

Michael Chertkov; Gregory Falkovich

doi:10.1016/0167-2789(94)00129-4

Structural instability of two-dimensional turbulence

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

Abstract

Weakly anisotropic steady are found for both inverse and direct cascades in two-dimensional turbulence of an incompressible fluid. The degree of anisotropy is shown to increase for both spectra: as (kL)^{-2 3} upscales and as (kΔ)² downscales from the pump. A weakly anisotropic intermediate-scale pumping may thus produce a substantially anistropic turbulence in the inertial intervals of scales.

Original language	English (US)
Pages (from-to)	11-29
Number of pages	19
Journal	Physica D: Nonlinear Phenomena
Volume	78
Issue number	1-2
DOIs	https://doi.org/10.1016/0167-2789(94)00129-4
State	Published - Nov 1 1994
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(94)00129-4

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title = "Structural instability of two-dimensional turbulence",

abstract = "Weakly anisotropic steady are found for both inverse and direct cascades in two-dimensional turbulence of an incompressible fluid. The degree of anisotropy is shown to increase for both spectra: as (kL) -2 3 upscales and as (kΔ)2 downscales from the pump. A weakly anisotropic intermediate-scale pumping may thus produce a substantially anistropic turbulence in the inertial intervals of scales.",

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year = "1994",

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doi = "10.1016/0167-2789(94)00129-4",

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AU - Falkovich, Gregory

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N2 - Weakly anisotropic steady are found for both inverse and direct cascades in two-dimensional turbulence of an incompressible fluid. The degree of anisotropy is shown to increase for both spectra: as (kL) -2 3 upscales and as (kΔ)2 downscales from the pump. A weakly anisotropic intermediate-scale pumping may thus produce a substantially anistropic turbulence in the inertial intervals of scales.

AB - Weakly anisotropic steady are found for both inverse and direct cascades in two-dimensional turbulence of an incompressible fluid. The degree of anisotropy is shown to increase for both spectra: as (kL) -2 3 upscales and as (kΔ)2 downscales from the pump. A weakly anisotropic intermediate-scale pumping may thus produce a substantially anistropic turbulence in the inertial intervals of scales.

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JO - Physica D: Nonlinear Phenomena

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Structural instability of two-dimensional turbulence

Abstract

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